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Date: Tue, 14 Jun 2022 17:33:33 +0200 Subject: [PATCH 03/39] Create dummy.txt --- FMCW_radar_data_compression/dummy.txt | 1 + 1 file changed, 1 insertion(+) create mode 100644 FMCW_radar_data_compression/dummy.txt diff --git a/FMCW_radar_data_compression/dummy.txt b/FMCW_radar_data_compression/dummy.txt new file mode 100644 index 0000000..5c3118d --- /dev/null +++ b/FMCW_radar_data_compression/dummy.txt @@ -0,0 +1 @@ +dummy file From e5bb8b3c1fdccd7b43fcbf59b327b17c3f10ae5e Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Tue, 14 Jun 2022 17:33:49 +0200 Subject: [PATCH 04/39] Add files via upload --- .../FMCW_radar_data_compression.pdf | Bin 0 -> 569007 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 FMCW_radar_data_compression/FMCW_radar_data_compression.pdf diff --git a/FMCW_radar_data_compression/FMCW_radar_data_compression.pdf b/FMCW_radar_data_compression/FMCW_radar_data_compression.pdf new file mode 100644 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<46036160+mandugo@users.noreply.github.com> Date: Tue, 14 Jun 2022 17:34:03 +0200 Subject: [PATCH 05/39] Delete dummy.txt --- FMCW_radar_data_compression/dummy.txt | 1 - 1 file changed, 1 deletion(-) delete mode 100644 FMCW_radar_data_compression/dummy.txt diff --git a/FMCW_radar_data_compression/dummy.txt b/FMCW_radar_data_compression/dummy.txt deleted file mode 100644 index 5c3118d..0000000 --- a/FMCW_radar_data_compression/dummy.txt +++ /dev/null @@ -1 +0,0 @@ -dummy file From 8deb97e1123a6d493da27aeb29a4b2f308d25228 Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Tue, 14 Jun 2022 17:39:01 +0200 Subject: [PATCH 06/39] Add files via upload --- .../slideshow_tex_source.zip | Bin 0 -> 356992 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 FMCW_radar_data_compression/slideshow_tex_source.zip diff --git a/FMCW_radar_data_compression/slideshow_tex_source.zip b/FMCW_radar_data_compression/slideshow_tex_source.zip 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zK){oKUeuucfPehAF@o8$I-9xwC)H9RMP4902xN>10^$CX2=ouC?*NvKhcV398fIti zXk>5U!3q@qlU^Geg)|)j1mdCvfr$Q%-UukdY>dp!oY+3Y9G#ritYM~R?`2pm?alua zWQ6I*REaAH#NY=45&s*=JFrBJ?9EL68z-SWHhCdNAW*&&2t@L40C)BO z06hpC6Hkqyj57Utw^2Yf82 v{|5BGJ2BzE@x$x)FCcT6vxN)Lz~*-U(SG7=SJ3|hi`5>t literal 0 HcmV?d00001 From 6906975d77659acccca486525edfbad21c53b111 Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Tue, 14 Jun 2022 18:06:45 +0200 Subject: [PATCH 07/39] Create README.md --- FMCW_radar_data_compression/code/README.md | 1 + 1 file changed, 1 insertion(+) create mode 100644 FMCW_radar_data_compression/code/README.md diff --git a/FMCW_radar_data_compression/code/README.md b/FMCW_radar_data_compression/code/README.md new file mode 100644 index 0000000..8b13789 --- /dev/null +++ b/FMCW_radar_data_compression/code/README.md @@ -0,0 +1 @@ + From 15b596a83fcebc9b9167c30fea7221f519f1d90b Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Tue, 14 Jun 2022 18:07:38 +0200 Subject: [PATCH 08/39] Add files via upload --- .../code/FMCW_LPC_analysis.m | 16 ++++++ .../code/FMCW_radar_data_compression.m | 50 ++++++++++++++++ .../code/mean_word_length_opt.m | 57 +++++++++++++++++++ 3 files changed, 123 insertions(+) create mode 100644 FMCW_radar_data_compression/code/FMCW_LPC_analysis.m create mode 100644 FMCW_radar_data_compression/code/FMCW_radar_data_compression.m create mode 100644 FMCW_radar_data_compression/code/mean_word_length_opt.m diff --git a/FMCW_radar_data_compression/code/FMCW_LPC_analysis.m b/FMCW_radar_data_compression/code/FMCW_LPC_analysis.m new file mode 100644 index 0000000..873bbf7 --- /dev/null +++ b/FMCW_radar_data_compression/code/FMCW_LPC_analysis.m @@ -0,0 +1,16 @@ +function [FIRcoeffs,residual,residual_variance] = FMCW_LPC_analysis(data,FIRLEN) + % + % Linear Predictive Coding analysis for FMCW radar signal + % + % USAGE: [FIRcoeffs,residual,residual_variance] = FMCW_LPC_analysis(data,FIRLEN) + % + % Exam's project: FMCW radar data compression + % Course: A Crash Course on Data Compression + % Authors: Giulio Meucci, Francesco Mancuso + + signal = double(data); + [FIRcoeffs,residual_variance] = lpc(signal,FIRLEN); + est_s = int16(filter([0 -FIRcoeffs(2:end)],1,signal)); + residual = data - est_s; + +end \ No newline at end of file diff --git a/FMCW_radar_data_compression/code/FMCW_radar_data_compression.m b/FMCW_radar_data_compression/code/FMCW_radar_data_compression.m new file mode 100644 index 0000000..929d946 --- /dev/null +++ b/FMCW_radar_data_compression/code/FMCW_radar_data_compression.m @@ -0,0 +1,50 @@ +% Exam's project: FMCW radar data compression +% Course: A Crash Course on Data Compression +% Authors: Giulio Meucci, Francesco Mancuso +% +% This MATLAB script compresses a .wav file using Linear Predictive Coding +% and Huffman Coding and compares the input and output file sizes by +% evaluating the compression ratio. + + +clear all +close all +clc + +%--------LOAD FILE--------% +[data,~] = audioread('cleanCorsa2_CUT.wav','native'); +audioinfo('cleanCorsa2_CUT.wav') + +tic + +%--------LINEAR PREDICTIVE CODING--------% +FIRLEN = 100; +[FIRcoeffs,residual,~] = FMCW_LPC_analysis(data.',FIRLEN); + +%--------SYMBOLS PROBABILITY ESTIMATION--------% +[probabilities, edges] = histcounts(residual,'Normalization','probability','BinMethod','integers'); +nonZeroInd = find(probabilities > 0); +p = probabilities(nonZeroInd); +symbols = ceil(edges); +s = symbols(nonZeroInd); + +%--------RESIDUAL HUFFMAN ENCODING--------% +dict = huffmandict(s,p); +bitstream = huffmanenco(residual,dict); + +toc + +%--------MEAN WORD LENGTH EVALUATION--------% +totaL = 0; +meanL = 0; +for ind2 = 1:size(dict,1) + totaL = totaL + length(dict{ind2,2}); + meanL = meanL + p(ind2)*length(dict{ind2,2}); +end +bitstream = dec2bin(bitstream); + +%--------COMPARE FILES SIZE--------% +compressed_data_size = length(bitstream) + 64*FIRLEN + 16*size(dict,1) + totaL +original_data_size = 16*length(data) + +compression_ratio = original_data_size/compressed_data_size \ No newline at end of file diff --git a/FMCW_radar_data_compression/code/mean_word_length_opt.m b/FMCW_radar_data_compression/code/mean_word_length_opt.m new file mode 100644 index 0000000..2cedc25 --- /dev/null +++ b/FMCW_radar_data_compression/code/mean_word_length_opt.m @@ -0,0 +1,57 @@ +% Exam's project: FMCW radar data compression +% Course: A Crash Course on Data Compression +% Authors: Giulio Meucci, Francesco Mancuso +% +% This MATLAB script compresses a .wav file using Linear Predictive Coding +% and Huffman Coding. It changes the length of the FIR filter iteration by +% iteration in order to find the optimum value that minimize the mean word +% length. +% +% WARNING: it has a quite long execution time. + +clear all +close all +clc + +%--------LOAD FILE--------% +[data,~] = audioread('cleanCorsa2_CUT.wav','native'); +audioinfo('cleanCorsa2_CUT.wav') + +%--------MEAN WORD LENGTH EVALUATION--------% +maxLength = 150; +FIRLEN = 1:maxLength; + +meanL = zeros(1,maxLength); +totaL = zeros(1,maxLength); + +f = waitbar(0, 'Starting'); + +for ind = 1:maxLength + [~,residual,~] = FMCW_LPC_analysis(data.',ind); + + [probabilities, edges] = histcounts(residual,'Normalization','probability','BinMethod','integers'); + nonZeroInd = find(probabilities > 0); + p = probabilities(nonZeroInd); + symbols = ceil(edges); + s = symbols(nonZeroInd); + + dict = huffmandict(s,p); + bitstream = huffmanenco(residual,dict); + + totaL(ind) = 0; + meanL(ind) = 0; + for ind2 = 1:size(dict,1) + totaL(ind) = totaL(ind) + length(dict{ind2,2}); + meanL(ind) = meanL(ind) + p(ind2)*length(dict{ind2,2}); + end + + waitbar(ind/maxLength, f, sprintf('Progress: %d %%', floor(ind/maxLength*100))); +end + +figure(1) +plot(FIRLEN,meanL,'LineWidth',2) +ylabel('bits') +xlabel('FIR length') +title('Mean word length') +grid on + From f4418be0e37c8be17c742b2080f6711cd39673d5 Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Tue, 14 Jun 2022 18:08:51 +0200 Subject: [PATCH 09/39] Add files via upload --- .../code/cleanCorsa2_CUT.wav | Bin 0 -> 966464 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 FMCW_radar_data_compression/code/cleanCorsa2_CUT.wav diff --git a/FMCW_radar_data_compression/code/cleanCorsa2_CUT.wav b/FMCW_radar_data_compression/code/cleanCorsa2_CUT.wav new file mode 100644 index 0000000000000000000000000000000000000000..8ab437f906b3806da99a0bcde69a95e30a38657b GIT binary patch literal 966464 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zKMfiF-^qv+7#{Ea4ABY0W5miv%){{5{*_o^_oX$0ISh}B^`BvouW+o`8vx*j0sypt z|6Qzr{9q*pI12+kA}|b(^q(>2-iR&y8UEliE8^Gx^nU*f^F^G7;c@(v(1+ibZxE8< zczplKuJcBJoqY-bNGSsV5C1nB@GqMo9uXXl$Mzppn7DHu%o+g5_W%Is{+~*60D%g} w Date: Wed, 15 Jun 2022 09:37:42 +0200 Subject: [PATCH 12/39] Update README.md --- FMCW_radar_data_compression/code/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/FMCW_radar_data_compression/code/README.md b/FMCW_radar_data_compression/code/README.md index 8b13789..62eb56e 100644 --- a/FMCW_radar_data_compression/code/README.md +++ b/FMCW_radar_data_compression/code/README.md @@ -1 +1 @@ - +made-with-matlab From c31925bd006b9884b22f0f215db3a51060894f4f Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Wed, 15 Jun 2022 10:05:52 +0200 Subject: [PATCH 13/39] Update README.md --- FMCW_radar_data_compression/code/README.md | 11 ++++++++++- 1 file changed, 10 insertions(+), 1 deletion(-) diff --git a/FMCW_radar_data_compression/code/README.md b/FMCW_radar_data_compression/code/README.md index 62eb56e..5efceda 100644 --- a/FMCW_radar_data_compression/code/README.md +++ b/FMCW_radar_data_compression/code/README.md @@ -1 +1,10 @@ -made-with-matlab +# FMCW radar data compression + +made-with-matlab + +- `FMCW_radar_data_compression.m` + +- `mean_word_length_opt.m` + +- `FMCW_LPC_analysis.m` + From 55774939a6e47801a13b18a2207990714946ded3 Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Wed, 15 Jun 2022 10:33:50 +0200 Subject: [PATCH 14/39] Update README.md --- FMCW_radar_data_compression/code/README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/FMCW_radar_data_compression/code/README.md b/FMCW_radar_data_compression/code/README.md index 5efceda..a273434 100644 --- a/FMCW_radar_data_compression/code/README.md +++ b/FMCW_radar_data_compression/code/README.md @@ -2,8 +2,8 @@ made-with-matlab -- `FMCW_radar_data_compression.m` - +- `FMCW_radar_data_compression.m`: this script evaluates the compression ratio achievable using **Linear Predictive Coding** and **Huffman Coding**, as explained in the slideshow, onto a `.wav` file. The file used is `cleanCorsa2_CUT.wav`. The length of the LPC FIR filter is 100. After the LPC filtering the histogram of the residuals is evaluated, by specifying `'BinMethod'` as `'integers'`, to use unit-width bins centered on integers, and `'Normalization'` as `'probability'`, to normalize the bin counts so that sum(N) is 1 (each bin count represents the probability that an observation falls within that bin). All the probabilities equal to zero are discarded. +- - `mean_word_length_opt.m` - `FMCW_LPC_analysis.m` From 73ad968d7751ee6f599bad28afc1fef30ce80a71 Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Wed, 15 Jun 2022 11:27:40 +0200 Subject: [PATCH 15/39] Update README.md --- FMCW_radar_data_compression/code/README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/FMCW_radar_data_compression/code/README.md b/FMCW_radar_data_compression/code/README.md index a273434..4e9bb72 100644 --- a/FMCW_radar_data_compression/code/README.md +++ b/FMCW_radar_data_compression/code/README.md @@ -2,8 +2,8 @@ made-with-matlab -- `FMCW_radar_data_compression.m`: this script evaluates the compression ratio achievable using **Linear Predictive Coding** and **Huffman Coding**, as explained in the slideshow, onto a `.wav` file. The file used is `cleanCorsa2_CUT.wav`. The length of the LPC FIR filter is 100. After the LPC filtering the histogram of the residuals is evaluated, by specifying `'BinMethod'` as `'integers'`, to use unit-width bins centered on integers, and `'Normalization'` as `'probability'`, to normalize the bin counts so that sum(N) is 1 (each bin count represents the probability that an observation falls within that bin). All the probabilities equal to zero are discarded. -- +- `FMCW_radar_data_compression.m`: this script evaluates the compression ratio achievable using **Linear Predictive Coding** and **Huffman Coding**, as explained in the slideshow, onto a `.wav` file. The file used is `cleanCorsa2_CUT.wav`. The length of the LPC FIR filter is 100. After the LPC filtering the histogram of the residuals is evaluated, by specifying `'BinMethod'` as `'integers'`, to use unit-width bins centered on integers, and `'Normalization'` as `'probability'`, to normalize the bin counts so that **sum(N)** is 1 (each bin count represents the probability that an observation falls within that bin). All the probabilities equal to zero are discarded, the Huffman dictionary is built and the symbols are encoded. + - `mean_word_length_opt.m` - `FMCW_LPC_analysis.m` From 8b066cc3a9524eb9140f366c465bd8c4ad94c087 Mon Sep 17 00:00:00 2001 From: Rustafun <64271868+Rustafun@users.noreply.github.com> Date: Wed, 15 Jun 2022 11:27:59 +0200 Subject: [PATCH 16/39] Create README.md --- FMCW_radar_data_compression/README.md | 3 +++ 1 file changed, 3 insertions(+) create mode 100644 FMCW_radar_data_compression/README.md diff --git a/FMCW_radar_data_compression/README.md b/FMCW_radar_data_compression/README.md new file mode 100644 index 0000000..0804fba --- /dev/null +++ b/FMCW_radar_data_compression/README.md @@ -0,0 +1,3 @@ +This folder contains the slide show PDF and the corresponding .tex source. Inside the Code folder are stored all the MATLAB files used to generate the presented results. +Our project focus on compressing FMCW radar data by exploiting the stationary nature of the analyzed signal. +First, we apply Linear Predictive Coding to reduce the dynamic of the signal, then we use Huffman coding to further shrink the output file and improve the overall compression ratio. From 4defc846e54df36c0e9789e5d4846b5221034592 Mon Sep 17 00:00:00 2001 From: Rustafun <64271868+Rustafun@users.noreply.github.com> Date: Wed, 15 Jun 2022 11:32:37 +0200 Subject: [PATCH 17/39] Update README.md --- FMCW_radar_data_compression/README.md | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/FMCW_radar_data_compression/README.md b/FMCW_radar_data_compression/README.md index 0804fba..9680732 100644 --- a/FMCW_radar_data_compression/README.md +++ b/FMCW_radar_data_compression/README.md @@ -1,3 +1,5 @@ -This folder contains the slide show PDF and the corresponding .tex source. Inside the Code folder are stored all the MATLAB files used to generate the presented results. +# FMCW radar data compression + +This folder contains the slide show PDF and the corresponding '.tex' source. Inside the Code folder are stored all the 'MATLAB' files used to generate the presented results. Our project focus on compressing FMCW radar data by exploiting the stationary nature of the analyzed signal. -First, we apply Linear Predictive Coding to reduce the dynamic of the signal, then we use Huffman coding to further shrink the output file and improve the overall compression ratio. +First, we apply **Linear Predictive Coding** to reduce the dynamic of the signal, then we use **Huffman coding** to further shrink the output file and improve the overall compression ratio. From 25e3b0e0e2141033d57e6f411c03607527e0127f Mon Sep 17 00:00:00 2001 From: Rustafun <64271868+Rustafun@users.noreply.github.com> Date: Wed, 15 Jun 2022 11:33:46 +0200 Subject: [PATCH 18/39] Update README.md --- FMCW_radar_data_compression/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/FMCW_radar_data_compression/README.md b/FMCW_radar_data_compression/README.md index 9680732..b4e8418 100644 --- a/FMCW_radar_data_compression/README.md +++ b/FMCW_radar_data_compression/README.md @@ -1,5 +1,5 @@ # FMCW radar data compression -This folder contains the slide show PDF and the corresponding '.tex' source. Inside the Code folder are stored all the 'MATLAB' files used to generate the presented results. +This folder contains the slide show PDF and the corresponding `.tex` source. Inside the Code folder are stored all the `MATLAB` files used to generate the presented results. Our project focus on compressing FMCW radar data by exploiting the stationary nature of the analyzed signal. First, we apply **Linear Predictive Coding** to reduce the dynamic of the signal, then we use **Huffman coding** to further shrink the output file and improve the overall compression ratio. From 5bbb5e0445bd0afcccd168b8d5faa48a76911481 Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Wed, 15 Jun 2022 11:35:56 +0200 Subject: [PATCH 19/39] Update README.md --- FMCW_radar_data_compression/code/README.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/FMCW_radar_data_compression/code/README.md b/FMCW_radar_data_compression/code/README.md index 4e9bb72..1014880 100644 --- a/FMCW_radar_data_compression/code/README.md +++ b/FMCW_radar_data_compression/code/README.md @@ -2,9 +2,9 @@ made-with-matlab -- `FMCW_radar_data_compression.m`: this script evaluates the compression ratio achievable using **Linear Predictive Coding** and **Huffman Coding**, as explained in the slideshow, onto a `.wav` file. The file used is `cleanCorsa2_CUT.wav`. The length of the LPC FIR filter is 100. After the LPC filtering the histogram of the residuals is evaluated, by specifying `'BinMethod'` as `'integers'`, to use unit-width bins centered on integers, and `'Normalization'` as `'probability'`, to normalize the bin counts so that **sum(N)** is 1 (each bin count represents the probability that an observation falls within that bin). All the probabilities equal to zero are discarded, the Huffman dictionary is built and the symbols are encoded. +- `FMCW_radar_data_compression.m`: this script evaluates the compression ratio achievable using **Linear Predictive Coding** and **Huffman Coding**, as explained in the slideshow, onto a `.wav` file. The file used is `cleanCorsa2_CUT.wav`. The length of the LPC FIR filter is 100. After the LPC filtering the histogram of the residuals is evaluated, by specifying `'BinMethod'` as `'integers'`, to use unit-width bins centered on integers, and `'Normalization'` as `'probability'`, to normalize the bin counts so that **sum(N)** is 1 (each bin count represents the probability that an observation falls within that bin). All the probabilities equal to zero are discarded, the Huffman dictionary is built and the symbols are encoded. The last lines of the script calculate the **mean word length** and the compression ratio; +- `mean_word_length_opt.m`: this script has been used to analyse the compression performance by varying the length of the LPC FIR filter. The analysis has been carried out using a number of coeffients that goes from 1 to 150. The core of the script is the same as the previous one; +- `FMCW_LPC_analysis.m`: this function is used in the above scripts. It does the estimation of the LPC FIR filter coefficients, it filters the input signal and gives in output the filter coefficients, the residual signal and the variance of the residual signal. -- `mean_word_length_opt.m` - -- `FMCW_LPC_analysis.m` + > We used the variance of the residual signal as a quality metric during the analysis phase to understand how the LPC was affecting the amplitude of the signal From bc09591943bdd3d6d15e43000ee6ffbecb9cb727 Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Wed, 15 Jun 2022 11:37:02 +0200 Subject: [PATCH 20/39] Update README.md --- FMCW_radar_data_compression/code/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/FMCW_radar_data_compression/code/README.md b/FMCW_radar_data_compression/code/README.md index 1014880..4c1b292 100644 --- a/FMCW_radar_data_compression/code/README.md +++ b/FMCW_radar_data_compression/code/README.md @@ -1,4 +1,4 @@ -# FMCW radar data compression +# FMCW radar data compression code made-with-matlab From 9042b87ec6cdbdac754fa78b4d119bc1d4042397 Mon Sep 17 00:00:00 2001 From: Rustafun <64271868+Rustafun@users.noreply.github.com> Date: Wed, 15 Jun 2022 11:40:32 +0200 Subject: [PATCH 21/39] Update README.md --- FMCW_radar_data_compression/README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/FMCW_radar_data_compression/README.md b/FMCW_radar_data_compression/README.md index b4e8418..b824183 100644 --- a/FMCW_radar_data_compression/README.md +++ b/FMCW_radar_data_compression/README.md @@ -1,5 +1,5 @@ # FMCW radar data compression -This folder contains the slide show PDF and the corresponding `.tex` source. Inside the Code folder are stored all the `MATLAB` files used to generate the presented results. -Our project focus on compressing FMCW radar data by exploiting the stationary nature of the analyzed signal. +This folder contains the slide show PDF and the corresponding `.tex` source. Inside the Code folder are stored all the `MATLAB` files used to generate the presented results.\\ +Our project focus on compressing FMCW radar data by exploiting the stationary nature of the analyzed signal. Indeed, the output of such systems is a linear combination of multiple sinusoidal signals and therefore it is by its nature a strongly periodic signal.\\ First, we apply **Linear Predictive Coding** to reduce the dynamic of the signal, then we use **Huffman coding** to further shrink the output file and improve the overall compression ratio. From f97a6e0fe6aa1ea06e7a6cf30c502011bbeeb0a9 Mon Sep 17 00:00:00 2001 From: Rustafun <64271868+Rustafun@users.noreply.github.com> Date: Wed, 15 Jun 2022 11:41:30 +0200 Subject: [PATCH 22/39] Update README.md --- FMCW_radar_data_compression/README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/FMCW_radar_data_compression/README.md b/FMCW_radar_data_compression/README.md index b824183..a94a430 100644 --- a/FMCW_radar_data_compression/README.md +++ b/FMCW_radar_data_compression/README.md @@ -1,5 +1,5 @@ # FMCW radar data compression -This folder contains the slide show PDF and the corresponding `.tex` source. Inside the Code folder are stored all the `MATLAB` files used to generate the presented results.\\ -Our project focus on compressing FMCW radar data by exploiting the stationary nature of the analyzed signal. Indeed, the output of such systems is a linear combination of multiple sinusoidal signals and therefore it is by its nature a strongly periodic signal.\\ +This folder contains the slide show PDF and the corresponding `.tex` source. Inside the Code folder are stored all the `MATLAB` files used to generate the presented results.\ +Our project focus on compressing FMCW radar data by exploiting the stationary nature of the analyzed signal. Indeed, the output of such systems is a linear combination of multiple sinusoidal signals and therefore it is by its nature a strongly periodic signal.__ First, we apply **Linear Predictive Coding** to reduce the dynamic of the signal, then we use **Huffman coding** to further shrink the output file and improve the overall compression ratio. From 82c181db1c4ea7ee2016e028b40a506a58e25ba3 Mon Sep 17 00:00:00 2001 From: Rustafun <64271868+Rustafun@users.noreply.github.com> Date: Wed, 15 Jun 2022 11:41:41 +0200 Subject: [PATCH 23/39] Update README.md --- FMCW_radar_data_compression/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/FMCW_radar_data_compression/README.md b/FMCW_radar_data_compression/README.md index a94a430..4df753f 100644 --- a/FMCW_radar_data_compression/README.md +++ b/FMCW_radar_data_compression/README.md @@ -1,5 +1,5 @@ # FMCW radar data compression This folder contains the slide show PDF and the corresponding `.tex` source. Inside the Code folder are stored all the `MATLAB` files used to generate the presented results.\ -Our project focus on compressing FMCW radar data by exploiting the stationary nature of the analyzed signal. Indeed, the output of such systems is a linear combination of multiple sinusoidal signals and therefore it is by its nature a strongly periodic signal.__ +Our project focus on compressing FMCW radar data by exploiting the stationary nature of the analyzed signal. Indeed, the output of such systems is a linear combination of multiple sinusoidal signals and therefore it is by its nature a strongly periodic signal.\ First, we apply **Linear Predictive Coding** to reduce the dynamic of the signal, then we use **Huffman coding** to further shrink the output file and improve the overall compression ratio. From cc72ac1bbf79b4023d64349a96541aa5e095fcf0 Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Wed, 15 Jun 2022 11:45:13 +0200 Subject: [PATCH 24/39] Update README.md --- FMCW_radar_data_compression/code/README.md | 7 +++---- 1 file changed, 3 insertions(+), 4 deletions(-) diff --git a/FMCW_radar_data_compression/code/README.md b/FMCW_radar_data_compression/code/README.md index 4c1b292..c5810c3 100644 --- a/FMCW_radar_data_compression/code/README.md +++ b/FMCW_radar_data_compression/code/README.md @@ -1,10 +1,9 @@ -# FMCW radar data compression code +# FMCW radar data compression made-with-matlab -- `FMCW_radar_data_compression.m`: this script evaluates the compression ratio achievable using **Linear Predictive Coding** and **Huffman Coding**, as explained in the slideshow, onto a `.wav` file. The file used is `cleanCorsa2_CUT.wav`. The length of the LPC FIR filter is 100. After the LPC filtering the histogram of the residuals is evaluated, by specifying `'BinMethod'` as `'integers'`, to use unit-width bins centered on integers, and `'Normalization'` as `'probability'`, to normalize the bin counts so that **sum(N)** is 1 (each bin count represents the probability that an observation falls within that bin). All the probabilities equal to zero are discarded, the Huffman dictionary is built and the symbols are encoded. The last lines of the script calculate the **mean word length** and the compression ratio; +- `FMCW_radar_data_compression.m`: this script evaluates the compression ratio achievable using [**Linear Predictive Coding**](https://en.wikipedia.org/wiki/Linear_predictive_coding) and [**Huffman Coding**](https://en.wikipedia.org/wiki/Huffman_coding), as explained in the slideshow, onto a `.wav` file. The file used is `cleanCorsa2_CUT.wav`. The length of the LPC FIR filter is 100. After the LPC filtering the histogram of the residuals is evaluated, by specifying `'BinMethod'` as `'integers'`, to use unit-width bins centered on integers, and `'Normalization'` as `'probability'`, to normalize the bin counts so that **sum(N)** is 1 (each bin count represents the probability that an observation falls within that bin). All the probabilities equal to zero are discarded, the Huffman dictionary is built and the symbols are encoded. The last lines of the script calculate the **mean word length** and the **compression ratio**; - `mean_word_length_opt.m`: this script has been used to analyse the compression performance by varying the length of the LPC FIR filter. The analysis has been carried out using a number of coeffients that goes from 1 to 150. The core of the script is the same as the previous one; - `FMCW_LPC_analysis.m`: this function is used in the above scripts. It does the estimation of the LPC FIR filter coefficients, it filters the input signal and gives in output the filter coefficients, the residual signal and the variance of the residual signal. - - > We used the variance of the residual signal as a quality metric during the analysis phase to understand how the LPC was affecting the amplitude of the signal + > We used the variance of the residual signal as a quality metric during the developing to understand how the LPC was affecting the amplitude of the signal From 1e7cf38590145595b7f618ba141c21fb2e303ce6 Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Wed, 15 Jun 2022 11:48:49 +0200 Subject: [PATCH 25/39] Update README.md --- FMCW_radar_data_compression/code/README.md | 8 +++++--- 1 file changed, 5 insertions(+), 3 deletions(-) diff --git a/FMCW_radar_data_compression/code/README.md b/FMCW_radar_data_compression/code/README.md index c5810c3..57b9217 100644 --- a/FMCW_radar_data_compression/code/README.md +++ b/FMCW_radar_data_compression/code/README.md @@ -2,8 +2,10 @@ made-with-matlab -- `FMCW_radar_data_compression.m`: this script evaluates the compression ratio achievable using [**Linear Predictive Coding**](https://en.wikipedia.org/wiki/Linear_predictive_coding) and [**Huffman Coding**](https://en.wikipedia.org/wiki/Huffman_coding), as explained in the slideshow, onto a `.wav` file. The file used is `cleanCorsa2_CUT.wav`. The length of the LPC FIR filter is 100. After the LPC filtering the histogram of the residuals is evaluated, by specifying `'BinMethod'` as `'integers'`, to use unit-width bins centered on integers, and `'Normalization'` as `'probability'`, to normalize the bin counts so that **sum(N)** is 1 (each bin count represents the probability that an observation falls within that bin). All the probabilities equal to zero are discarded, the Huffman dictionary is built and the symbols are encoded. The last lines of the script calculate the **mean word length** and the **compression ratio**; -- `mean_word_length_opt.m`: this script has been used to analyse the compression performance by varying the length of the LPC FIR filter. The analysis has been carried out using a number of coeffients that goes from 1 to 150. The core of the script is the same as the previous one; +- `FMCW_radar_data_compression.m`: this script evaluates the compression ratio achievable using [**Linear Predictive Coding**](https://en.wikipedia.org/wiki/Linear_predictive_coding) and [**Huffman Coding**](https://en.wikipedia.org/wiki/Huffman_coding), as explained in the slideshow, onto a `.wav` file. The file used is `cleanCorsa2_CUT.wav`. The length of the LPC FIR filter is 100. After the LPC filtering the histogram of the residuals is evaluated, by specifying `'BinMethod'` as `'integers'`, to use unit-width bins centered on integers, and `'Normalization'` as `'probability'`, to normalize the bin counts so that **sum(N)** is 1 (each bin count represents the probability that an observation falls within that bin). All the probabilities equal to zero are discarded, the Huffman dictionary is built and the symbols are encoded. The last lines of the script calculate the **average codeword length** and the **compression ratio**; +- `average_codeword_length_opt.m`: this script has been used to analyse the compression performance by varying the length of the LPC FIR filter. The analysis has been carried out using a number of coeffients that goes from 1 to 150. The core of the script is the same as the previous one; + > :warning: **The execution takes a lot** :warning: - `FMCW_LPC_analysis.m`: this function is used in the above scripts. It does the estimation of the LPC FIR filter coefficients, it filters the input signal and gives in output the filter coefficients, the residual signal and the variance of the residual signal. - > We used the variance of the residual signal as a quality metric during the developing to understand how the LPC was affecting the amplitude of the signal + + > We used the variance of the residual signal as a quality metric during the developing to understand how the LPC was affecting the amplitude of the signal. From ebe78681be7d999fb6fd76e05ad49c7460daf652 Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Wed, 15 Jun 2022 11:54:40 +0200 Subject: [PATCH 26/39] Update and rename mean_word_length_opt.m to average_codeword_length_opt.m --- ...an_word_length_opt.m => average_codeword_length_opt.m} | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) rename FMCW_radar_data_compression/code/{mean_word_length_opt.m => average_codeword_length_opt.m} (92%) diff --git a/FMCW_radar_data_compression/code/mean_word_length_opt.m b/FMCW_radar_data_compression/code/average_codeword_length_opt.m similarity index 92% rename from FMCW_radar_data_compression/code/mean_word_length_opt.m rename to FMCW_radar_data_compression/code/average_codeword_length_opt.m index 2cedc25..ffb6f9b 100644 --- a/FMCW_radar_data_compression/code/mean_word_length_opt.m +++ b/FMCW_radar_data_compression/code/average_codeword_length_opt.m @@ -4,8 +4,8 @@ % % This MATLAB script compresses a .wav file using Linear Predictive Coding % and Huffman Coding. It changes the length of the FIR filter iteration by -% iteration in order to find the optimum value that minimize the mean word -% length. +% iteration in order to find the optimum value that minimize the average +% codeword length. % % WARNING: it has a quite long execution time. @@ -17,7 +17,7 @@ [data,~] = audioread('cleanCorsa2_CUT.wav','native'); audioinfo('cleanCorsa2_CUT.wav') -%--------MEAN WORD LENGTH EVALUATION--------% +%--------AVERAGE CODEWORD LENGTH EVALUATION--------% maxLength = 150; FIRLEN = 1:maxLength; @@ -52,6 +52,6 @@ plot(FIRLEN,meanL,'LineWidth',2) ylabel('bits') xlabel('FIR length') -title('Mean word length') +title('Average Codeword Length') grid on From c28d8bc7ac42a89c273b832dc94b628574cb44b9 Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Wed, 15 Jun 2022 11:55:53 +0200 Subject: [PATCH 27/39] Update FMCW_radar_data_compression.m --- .../code/FMCW_radar_data_compression.m | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/FMCW_radar_data_compression/code/FMCW_radar_data_compression.m b/FMCW_radar_data_compression/code/FMCW_radar_data_compression.m index 929d946..74f7b22 100644 --- a/FMCW_radar_data_compression/code/FMCW_radar_data_compression.m +++ b/FMCW_radar_data_compression/code/FMCW_radar_data_compression.m @@ -34,7 +34,7 @@ toc -%--------MEAN WORD LENGTH EVALUATION--------% +%--------AVERAGE CODEWORD LENGTH EVALUATION--------% totaL = 0; meanL = 0; for ind2 = 1:size(dict,1) @@ -47,4 +47,4 @@ compressed_data_size = length(bitstream) + 64*FIRLEN + 16*size(dict,1) + totaL original_data_size = 16*length(data) -compression_ratio = original_data_size/compressed_data_size \ No newline at end of file +compression_ratio = original_data_size/compressed_data_size From e9ea9f9b5f7bc9eba03503e632b1cfddfcae0968 Mon Sep 17 00:00:00 2001 From: Rustafun <64271868+Rustafun@users.noreply.github.com> Date: Wed, 15 Jun 2022 12:00:37 +0200 Subject: [PATCH 28/39] Minor 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z!}aCmMWy&1FQi%bkm^=}Kv!)k0W708#6$w)?>z@Rk_>*bd1f8t!op=4En9WU_~42{ zU->bvS`W6`f=(4mOWCO{2JJpRg77l;Q3fPRQQ5J2Zb-yzalUT`zR$Ti6ew*oRX^== zcKvks`<0jy!!RME#R{KcJ1??$XM4oi4BX23h`vj z`}s3mFbc(;IoLVaMJdv>WHqpCW+a=lqi{*LhQq;}Wi)Ya7$ zu|T>uRuUJF++lxrw+2Z=a{Ctz=nSa}E)eJ{37+(8FAYO3TZHu{j< ztgQacqXLHma|?3r{fOqrI}fKXX~c95Q81ZuA0-UTsiIKBl~nbI@;9e;zXM&!r?6MD z481-Pk-`O0+BQ16IynKz4g^2enoL zJ3P*_diMT)`Q!9q5oIPa$DIj1;s;z)Y4XL6iT zIA+w65+*{MOc7Ibx9+0^xfQ*YO^%IuS$BDPy@s6P+2Q6C`dBd1kS^V2E+^b50FoRS zG+Pw5ZhOVyxYCRcV@{Tyb_eZp`WrC}6_4!6Y@oi9{6lsT!fBTmjAa4=k?->Vuw67F zjY8X7{!3Ef!ww_x7Z(zW3HrapGwT0k$w)@?1kwGYmMq{2B7ihW*7gLE{VV(YBU2=& zc!H?^mAn3tp_A70c#FD&^qP z83>5iGYE)xQjY&^|0wY#J9vR8{zpkFe#j1hgs9Dhgdq5j4#Yo7G|AOoAo_oYU-x<+ zel7XY3q&sa&+z}6{=b(0L%8uj?VpPtMxg)y^c%`@|JRL3Ch-OlK=(1hBnx_jXchnI zxMQ$G6Z$U%L=+Sx1kQi@{dYE8i7@}^*z&8Zm7A%pgQWwrwWGPEvK$EZA62CH;}i-4 K!Z#T7F8v>@99E|Q From 2aa8a18dff2483583d9b2471ccd4b8c25d19a75c Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Wed, 15 Jun 2022 12:02:08 +0200 Subject: [PATCH 29/39] Update README.md --- FMCW_radar_data_compression/code/README.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/FMCW_radar_data_compression/code/README.md b/FMCW_radar_data_compression/code/README.md index 57b9217..a94d546 100644 --- a/FMCW_radar_data_compression/code/README.md +++ b/FMCW_radar_data_compression/code/README.md @@ -1,4 +1,4 @@ -# FMCW radar data compression +# FMCW radar data compression code made-with-matlab @@ -7,5 +7,5 @@ > :warning: **The execution takes a lot** :warning: - `FMCW_LPC_analysis.m`: this function is used in the above scripts. It does the estimation of the LPC FIR filter coefficients, it filters the input signal and gives in output the filter coefficients, the residual signal and the variance of the residual signal. - > We used the variance of the residual signal as a quality metric during the developing to understand how the LPC was affecting the amplitude of the signal. + > We used the variance of the residual signal as a quality metric during the analysis phase to understand how the LPC was affecting the amplitude of the signal. From 0ac72fbadc09965544bb0b4a01ac96321dc43bd8 Mon Sep 17 00:00:00 2001 From: Rustafun <64271868+Rustafun@users.noreply.github.com> Date: Wed, 15 Jun 2022 12:05:55 +0200 Subject: [PATCH 30/39] Update README.md --- FMCW_radar_data_compression/README.md | 8 ++++++-- 1 file changed, 6 insertions(+), 2 deletions(-) diff --git a/FMCW_radar_data_compression/README.md b/FMCW_radar_data_compression/README.md index 4df753f..5186bdc 100644 --- a/FMCW_radar_data_compression/README.md +++ b/FMCW_radar_data_compression/README.md @@ -1,5 +1,9 @@ # FMCW radar data compression -This folder contains the slide show PDF and the corresponding `.tex` source. Inside the Code folder are stored all the `MATLAB` files used to generate the presented results.\ +This folder contains the slide show PDF and the corresponding `.tex` source. Inside the code folder are stored all the `MATLAB` files used to generate the presented results.\ Our project focus on compressing FMCW radar data by exploiting the stationary nature of the analyzed signal. Indeed, the output of such systems is a linear combination of multiple sinusoidal signals and therefore it is by its nature a strongly periodic signal.\ -First, we apply **Linear Predictive Coding** to reduce the dynamic of the signal, then we use **Huffman coding** to further shrink the output file and improve the overall compression ratio. +For this reason, we first apply **Linear Predictive Coding** to reduce the dynamic of the signal and then, we use **Huffman coding** to further shrink the output file and improve the overall compression ratio. In order to avoid loss of data we save, along with the LPC FIR coefficient and the Huffman dictionary, also the **residuals** of the LPC compression algorithm. + + ## Authors + Francesco Mancuso ([mandugo](https://github.com/mandugo))\ + Giulio Meucci ([Rustafun](https://github.com/Rustafun)) From bf69de98f7a7131e1f34fb5c03f0419b62ed7e7f Mon Sep 17 00:00:00 2001 From: Rustafun <64271868+Rustafun@users.noreply.github.com> Date: Wed, 15 Jun 2022 12:17:26 +0200 Subject: [PATCH 31/39] Update README.md --- FMCW_radar_data_compression/code/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/FMCW_radar_data_compression/code/README.md b/FMCW_radar_data_compression/code/README.md index a94d546..9ec7af8 100644 --- a/FMCW_radar_data_compression/code/README.md +++ b/FMCW_radar_data_compression/code/README.md @@ -2,7 +2,7 @@ made-with-matlab -- `FMCW_radar_data_compression.m`: this script evaluates the compression ratio achievable using [**Linear Predictive Coding**](https://en.wikipedia.org/wiki/Linear_predictive_coding) and [**Huffman Coding**](https://en.wikipedia.org/wiki/Huffman_coding), as explained in the slideshow, onto a `.wav` file. The file used is `cleanCorsa2_CUT.wav`. The length of the LPC FIR filter is 100. After the LPC filtering the histogram of the residuals is evaluated, by specifying `'BinMethod'` as `'integers'`, to use unit-width bins centered on integers, and `'Normalization'` as `'probability'`, to normalize the bin counts so that **sum(N)** is 1 (each bin count represents the probability that an observation falls within that bin). All the probabilities equal to zero are discarded, the Huffman dictionary is built and the symbols are encoded. The last lines of the script calculate the **average codeword length** and the **compression ratio**; +- `FMCW_radar_data_compression.m`: this script evaluates the compression ratio achievable using [**Linear Predictive Coding**](https://en.wikipedia.org/wiki/Linear_predictive_coding) and [**Huffman Coding**](https://en.wikipedia.org/wiki/Huffman_coding), as explained in the slideshow, onto a `.wav` file. The file used is `cleanCorsa2_CUT.wav`. The length of the LPC FIR filter is 100. After the LPC filtering the histogram of the residuals is evaluated by specifying: `'BinMethod'` as `'integers'` to set the unit-width bins centered on integers, and `'Normalization'` as `'probability'` to obtain the relative frequencies of the symbols (i.e. each bin count represents the probability that an observation falls within that bin). All the probabilities equal to zero are discarded, the Huffman dictionary is built and the symbols are encoded. The last lines of the script calculate the **average codeword length** and the **compression ratio**; - `average_codeword_length_opt.m`: this script has been used to analyse the compression performance by varying the length of the LPC FIR filter. The analysis has been carried out using a number of coeffients that goes from 1 to 150. The core of the script is the same as the previous one; > :warning: **The execution takes a lot** :warning: - `FMCW_LPC_analysis.m`: this function is used in the above scripts. It does the estimation of the LPC FIR filter coefficients, it filters the input signal and gives in output the filter coefficients, the residual signal and the variance of the residual signal. From fdae918565c21ef5d89a0c3a4f4ad8a8944f5487 Mon Sep 17 00:00:00 2001 From: Rustafun <64271868+Rustafun@users.noreply.github.com> Date: Wed, 15 Jun 2022 12:38:31 +0200 Subject: [PATCH 32/39] Added References --- FMCW_radar_data_compression/README.md | 18 ++++++++++++++++++ 1 file changed, 18 insertions(+) diff --git a/FMCW_radar_data_compression/README.md b/FMCW_radar_data_compression/README.md index 5186bdc..57507db 100644 --- a/FMCW_radar_data_compression/README.md +++ b/FMCW_radar_data_compression/README.md @@ -4,6 +4,24 @@ This folder contains the slide show PDF and the corresponding `.tex` source. Ins Our project focus on compressing FMCW radar data by exploiting the stationary nature of the analyzed signal. Indeed, the output of such systems is a linear combination of multiple sinusoidal signals and therefore it is by its nature a strongly periodic signal.\ For this reason, we first apply **Linear Predictive Coding** to reduce the dynamic of the signal and then, we use **Huffman coding** to further shrink the output file and improve the overall compression ratio. In order to avoid loss of data we save, along with the LPC FIR coefficient and the Huffman dictionary, also the **residuals** of the LPC compression algorithm. + ## References + +[1] N. Levinson. “The Wiener (Root Mean Square) Error Criterion in Filter Design and +Prediction”. In: Journal of Mathematics and Physics 25.1-4 (1946), pp. 261–278. DOI: +https://doi.org/10.1002/sapm1946251261. \ +\ +[2] David A. Huffman. “A Method for the Construction of Minimum-Redundancy Codes”. In: +Proceedings of the IRE 40.9 (1952), pp. 1098–1101. DOI: 10.1109/JRPROC.1952.273898.\ +\ +[3] J. Makhoul. “Linear prediction: A tutorial review”. In: Proceedings of the IEEE 63.4 (1975), +pp. 561–580. DOI: 10.1109/PROC.1975.9792.\ +\ +[4] S.M. Kay and S.L. Marple. “Spectrum analysis—A modern perspective”. In: Proceedings of +the IEEE 69.11 (1981), pp. 1380–1419. DOI: 10.1109/PROC.1981.12184.\ +\ +[5] D. O’Shaughnessy. “Linear predictive coding”. In: IEEE Potentials 7.1 (1988), pp. 29–32. DOI: +10.1109/45.1890. + ## Authors Francesco Mancuso ([mandugo](https://github.com/mandugo))\ Giulio Meucci ([Rustafun](https://github.com/Rustafun)) From 6f4789978a4ea11b3c8a6dcb17446534e5a87528 Mon Sep 17 00:00:00 2001 From: Rustafun <64271868+Rustafun@users.noreply.github.com> Date: Wed, 15 Jun 2022 12:49:21 +0200 Subject: [PATCH 33/39] Added DOI links --- FMCW_radar_data_compression/README.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/FMCW_radar_data_compression/README.md b/FMCW_radar_data_compression/README.md index 57507db..916bd4a 100644 --- a/FMCW_radar_data_compression/README.md +++ b/FMCW_radar_data_compression/README.md @@ -11,16 +11,16 @@ Prediction”. In: Journal of Mathematics and Physics 25.1-4 (1946), pp. 261–2 https://doi.org/10.1002/sapm1946251261. \ \ [2] David A. Huffman. “A Method for the Construction of Minimum-Redundancy Codes”. In: -Proceedings of the IRE 40.9 (1952), pp. 1098–1101. DOI: 10.1109/JRPROC.1952.273898.\ +Proceedings of the IRE 40.9 (1952), pp. 1098–1101. DOI: https://doi.org/10.1109/JRPROC.1952.273898. \ \ [3] J. Makhoul. “Linear prediction: A tutorial review”. In: Proceedings of the IEEE 63.4 (1975), -pp. 561–580. DOI: 10.1109/PROC.1975.9792.\ +pp. 561–580. DOI: https://doi.org/10.1109/PROC.1975.9792. \ \ [4] S.M. Kay and S.L. Marple. “Spectrum analysis—A modern perspective”. In: Proceedings of -the IEEE 69.11 (1981), pp. 1380–1419. DOI: 10.1109/PROC.1981.12184.\ +the IEEE 69.11 (1981), pp. 1380–1419. DOI: https://doi.org/10.1109/PROC.1981.12184. \ \ [5] D. O’Shaughnessy. “Linear predictive coding”. In: IEEE Potentials 7.1 (1988), pp. 29–32. DOI: -10.1109/45.1890. +https://doi.org/10.1109/45.1890. ## Authors Francesco Mancuso ([mandugo](https://github.com/mandugo))\ From e2ca67603e0aae83181d691b6e3789872dd51bb4 Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Wed, 15 Jun 2022 12:52:24 +0200 Subject: [PATCH 34/39] Update README.md --- FMCW_radar_data_compression/code/README.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/FMCW_radar_data_compression/code/README.md b/FMCW_radar_data_compression/code/README.md index 9ec7af8..c8c93fd 100644 --- a/FMCW_radar_data_compression/code/README.md +++ b/FMCW_radar_data_compression/code/README.md @@ -9,3 +9,5 @@ > We used the variance of the residual signal as a quality metric during the analysis phase to understand how the LPC was affecting the amplitude of the signal. +## Micro benchmark +The code has been run on Ubuntu 21.10, the machine has an Intel® Core™ i7-860 @ 2.80GHz and 24GB of RAM. The execution time of `FMCW_radar_data_compression.m` is about 2.15 seconds, while the execution time of `average_codeword_length_opt.m` is about 639.5 seconds. From 9bacebdfa0c8524082d126cb554a0ed2fa5588fe Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Wed, 15 Jun 2022 12:59:44 +0200 Subject: [PATCH 35/39] Update README.md --- FMCW_radar_data_compression/code/README.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/FMCW_radar_data_compression/code/README.md b/FMCW_radar_data_compression/code/README.md index c8c93fd..2117b15 100644 --- a/FMCW_radar_data_compression/code/README.md +++ b/FMCW_radar_data_compression/code/README.md @@ -11,3 +11,5 @@ ## Micro benchmark The code has been run on Ubuntu 21.10, the machine has an Intel® Core™ i7-860 @ 2.80GHz and 24GB of RAM. The execution time of `FMCW_radar_data_compression.m` is about 2.15 seconds, while the execution time of `average_codeword_length_opt.m` is about 639.5 seconds. +## +> Written with [StackEdit](https://stackedit.io/) and [ForTheBadge](https://forthebadge.com/). From 9e0c4237b4cc209da0231dadb7d8f05a560e23a1 Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Wed, 15 Jun 2022 13:02:13 +0200 Subject: [PATCH 36/39] Update README.md --- FMCW_radar_data_compression/code/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/FMCW_radar_data_compression/code/README.md b/FMCW_radar_data_compression/code/README.md index 2117b15..cbef721 100644 --- a/FMCW_radar_data_compression/code/README.md +++ b/FMCW_radar_data_compression/code/README.md @@ -9,7 +9,7 @@ > We used the variance of the residual signal as a quality metric during the analysis phase to understand how the LPC was affecting the amplitude of the signal. -## Micro benchmark +## Runtime measurements The code has been run on Ubuntu 21.10, the machine has an Intel® Core™ i7-860 @ 2.80GHz and 24GB of RAM. The execution time of `FMCW_radar_data_compression.m` is about 2.15 seconds, while the execution time of `average_codeword_length_opt.m` is about 639.5 seconds. ## > Written with [StackEdit](https://stackedit.io/) and [ForTheBadge](https://forthebadge.com/). From f10abfc25f6f7cddda5bc782792feb21001260cd Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Wed, 15 Jun 2022 13:03:20 +0200 Subject: [PATCH 37/39] Update README.md --- FMCW_radar_data_compression/code/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/FMCW_radar_data_compression/code/README.md b/FMCW_radar_data_compression/code/README.md index cbef721..e45da91 100644 --- a/FMCW_radar_data_compression/code/README.md +++ b/FMCW_radar_data_compression/code/README.md @@ -9,7 +9,7 @@ > We used the variance of the residual signal as a quality metric during the analysis phase to understand how the LPC was affecting the amplitude of the signal. -## Runtime measurements +## Runtime measurements :clock130: The code has been run on Ubuntu 21.10, the machine has an Intel® Core™ i7-860 @ 2.80GHz and 24GB of RAM. The execution time of `FMCW_radar_data_compression.m` is about 2.15 seconds, while the execution time of `average_codeword_length_opt.m` is about 639.5 seconds. ## > Written with [StackEdit](https://stackedit.io/) and [ForTheBadge](https://forthebadge.com/). From 9c7e03102bdca03c33360e7e9a27798e2f96e3be Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Wed, 15 Jun 2022 14:08:46 +0200 Subject: [PATCH 38/39] Update README.md --- FMCW_radar_data_compression/README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/FMCW_radar_data_compression/README.md b/FMCW_radar_data_compression/README.md index 916bd4a..54e76df 100644 --- a/FMCW_radar_data_compression/README.md +++ b/FMCW_radar_data_compression/README.md @@ -1,7 +1,7 @@ # FMCW radar data compression This folder contains the slide show PDF and the corresponding `.tex` source. Inside the code folder are stored all the `MATLAB` files used to generate the presented results.\ -Our project focus on compressing FMCW radar data by exploiting the stationary nature of the analyzed signal. Indeed, the output of such systems is a linear combination of multiple sinusoidal signals and therefore it is by its nature a strongly periodic signal.\ +Our project focuses on compressing FMCW radar data by exploiting the stationary nature of the analyzed signal. Indeed, the output of such systems is a linear combination of multiple sinusoidal signals and therefore it is by its nature a strongly periodic signal.\ For this reason, we first apply **Linear Predictive Coding** to reduce the dynamic of the signal and then, we use **Huffman coding** to further shrink the output file and improve the overall compression ratio. In order to avoid loss of data we save, along with the LPC FIR coefficient and the Huffman dictionary, also the **residuals** of the LPC compression algorithm. ## References From bb7bb638e3537d18ba0dcc36c6e1878ed25c0e88 Mon Sep 17 00:00:00 2001 From: Francesco Mancuso <46036160+mandugo@users.noreply.github.com> Date: Wed, 15 Jun 2022 14:13:09 +0200 Subject: [PATCH 39/39] Update README.md --- FMCW_radar_data_compression/README.md | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) diff --git a/FMCW_radar_data_compression/README.md b/FMCW_radar_data_compression/README.md index 54e76df..ffd3353 100644 --- a/FMCW_radar_data_compression/README.md +++ b/FMCW_radar_data_compression/README.md @@ -1,8 +1,6 @@ # FMCW radar data compression -This folder contains the slide show PDF and the corresponding `.tex` source. Inside the code folder are stored all the `MATLAB` files used to generate the presented results.\ -Our project focuses on compressing FMCW radar data by exploiting the stationary nature of the analyzed signal. Indeed, the output of such systems is a linear combination of multiple sinusoidal signals and therefore it is by its nature a strongly periodic signal.\ -For this reason, we first apply **Linear Predictive Coding** to reduce the dynamic of the signal and then, we use **Huffman coding** to further shrink the output file and improve the overall compression ratio. In order to avoid loss of data we save, along with the LPC FIR coefficient and the Huffman dictionary, also the **residuals** of the LPC compression algorithm. +Our project focuses on compressing FMCW radar data by exploiting the stationary nature of the analyzed signal. Indeed, the output of such systems is a linear combination of multiple sinusoidal signals and therefore it is by its nature a strongly periodic signal. For this reason, we first apply **Linear Predictive Coding** to reduce the dynamic of the signal and then, we use **Huffman coding** to further shrink the output file and improve the overall compression ratio. This folder contains the slideshow `.pdf` and the corresponding `.tex` source. Inside the code folder are stored all the files used to generate the presented results. ## References

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