From 0a58caed6eb592f9f73a93967294b515f75586ba Mon Sep 17 00:00:00 2001 From: Diogo Cordeiro Date: Fri, 1 Jan 2021 15:46:41 +0000 Subject: [PATCH] That's it for noise removal --- TP3_8/DiogoEliseu_TP3_8_high_pass.m | 25 ++++----- .../img/filterDesigner/butterworth_filter.png | Bin 0 -> 49015 bytes .../butterworth_filter_2nd_order.png | Bin TP3_8/img/filters/butterworth_filter.png | Bin 29278 -> 0 bytes .../plots/butterworth_2nd_order_filter.png | Bin 0 -> 62815 bytes TP3_8/img/plots/butterworth_filter.png | Bin 0 -> 60226 bytes TP3_8/img/plots/dft_signal.png | Bin 0 -> 26023 bytes ...ft_signal_zoom.png => dft_signal_zoom.png} | Bin TP3_8/img/plots/gain_signal.png | Bin 0 -> 29108 bytes TP3_8/img/plots/high_pass_filter.png | Bin 0 -> 60766 bytes TP3_8/trash/DiogoEliseu_TP3_8_butter.m | 50 ++++++++++++++++++ TP3_8/trash/DiogoEliseu_TP3_8_cheb.m | 45 ++++++++++++++++ .../trash/DiogoEliseu_TP3_8_filterDesigner.m | 30 +++++++++++ TP3_8/trash/butterworth_filter.jpg | Bin 0 -> 149681 bytes TP3_8/trash/butterworth_filter_2nd_order.jpg | Bin 0 -> 154022 bytes TP3_8/trash/db_ft_signal_filtered.jpg | Bin 0 -> 81393 bytes TP3_8/trash/designed_sexy.m | 23 ++++++++ TP3_8/{img/plots => trash}/ft_signal.jpg | Bin TP3_8/trash/high_pass_filter.jpg | Bin 0 -> 140499 bytes TP3_8/trash/high_pass_filter2.jpg | Bin 0 -> 151799 bytes .../{img/plots => trash}/marked_ft_signal.jpg | Bin TP3_8/trash/nd_designed_sexy.m | 27 ++++++++++ TP3_8/{img/plots => trash}/plot_ft_signal.jpg | Bin TP3_8/trash/plot_ft_signal_filtered.jpg | Bin 0 -> 75716 bytes .../plot_ft_signal_filtered_2nd_order.jpg | Bin 25 files changed, 188 insertions(+), 12 deletions(-) create mode 100644 TP3_8/img/filterDesigner/butterworth_filter.png rename TP3_8/img/{filters => filterDesigner}/butterworth_filter_2nd_order.png (100%) delete mode 100644 TP3_8/img/filters/butterworth_filter.png create mode 100644 TP3_8/img/plots/butterworth_2nd_order_filter.png create mode 100644 TP3_8/img/plots/butterworth_filter.png create mode 100644 TP3_8/img/plots/dft_signal.png rename TP3_8/img/plots/{ft_signal_zoom.png => dft_signal_zoom.png} (100%) create mode 100644 TP3_8/img/plots/gain_signal.png create mode 100644 TP3_8/img/plots/high_pass_filter.png create mode 100644 TP3_8/trash/DiogoEliseu_TP3_8_butter.m create mode 100644 TP3_8/trash/DiogoEliseu_TP3_8_cheb.m create mode 100644 TP3_8/trash/DiogoEliseu_TP3_8_filterDesigner.m create mode 100644 TP3_8/trash/butterworth_filter.jpg create mode 100644 TP3_8/trash/butterworth_filter_2nd_order.jpg create mode 100644 TP3_8/trash/db_ft_signal_filtered.jpg create mode 100644 TP3_8/trash/designed_sexy.m rename TP3_8/{img/plots => trash}/ft_signal.jpg (100%) create mode 100644 TP3_8/trash/high_pass_filter.jpg create mode 100644 TP3_8/trash/high_pass_filter2.jpg rename TP3_8/{img/plots => trash}/marked_ft_signal.jpg (100%) create mode 100644 TP3_8/trash/nd_designed_sexy.m rename TP3_8/{img/plots => trash}/plot_ft_signal.jpg (100%) create mode 100644 TP3_8/trash/plot_ft_signal_filtered.jpg rename TP3_8/{img/plots => trash}/plot_ft_signal_filtered_2nd_order.jpg (100%) diff --git a/TP3_8/DiogoEliseu_TP3_8_high_pass.m b/TP3_8/DiogoEliseu_TP3_8_high_pass.m index 63da252..3e20b9f 100644 --- a/TP3_8/DiogoEliseu_TP3_8_high_pass.m +++ b/TP3_8/DiogoEliseu_TP3_8_high_pass.m @@ -10,44 +10,45 @@ Fn = Fs/2; % Nyquist Frequency (Hz) L = length(signal); % Signal Length %% Compute the DFT -dft = fft(signal)./L; -magnitude = 10.*log10(abs(dft).^2); % power is squared, thus 10 -Fv = linspace(0, 1, L)*Fn; % Frequency Vector +dft_signal = fft(signal)./L; + +%% Compute the Magninude in dB from Power +magnitude = 10.*log10(abs(dft_signal).^2); % power is squared, thus 10 %% High-pass Filter not_to_cutoff_indices = magnitude > -96; -dft_filtered = not_to_cutoff_indices.*dft; +dft_filtered = not_to_cutoff_indices.*dft_signal; magnitude_filtered = not_to_cutoff_indices.*magnitude; signal_filtered = ifft(dft_filtered.*L); %% Output -Fv_half = linspace(0, 1, fix(L/2)+1)*Fn; -y = abs(dft(1:(L/2+1))); +Fv = linspace(0, 1, fix(L/2)+1)*Fn; +y = abs(dft_signal(1:(L/2+1))); y_filtered = abs(dft_filtered(1:(L/2+1))); figure(1) subplot(2,3,1) -plot(Fv_half, y) +plot(Fv, y) grid xlabel("Frequência (Hz)"); ylabel("|H_{1}(f)|"); title("DFT do Sinal") subplot(2,3,4) -plot(Fv_half, y_filtered) +plot(Fv, y_filtered) grid xlabel("Frequência (Hz)"); ylabel("|H_{1}(f)|"); title("DFT do Sinal Filtrado") subplot(2,3,2) -plot(Fv_half, signal(1:(L/2+1))) +plot(Fv, signal(1:(L/2+1))) grid xlabel("Frequência (Hz)"); ylabel("Amplitude"); title("Sinal") subplot(2,3,5) -plot(Fv_half, signal_filtered(1:(L/2+1))) +plot(Fv, signal_filtered(1:(L/2+1))) grid xlabel("Frequência (Hz)"); ylabel("Amplitude"); title("Sinal Filtrado") subplot(2,3,3) %plot(Fv, magnitude); -plot(Fv_half, mag2db(y)) +plot(Fv, mag2db(y)) grid xlabel("Frequência (Hz)"); ylabel("Ganho (dB)"); title("Ganho do Sinal") subplot(2,3,6) -plot(Fv_half, mag2db(y_filtered)) +plot(Fv, mag2db(y_filtered)) 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