From ad59f40a9d94020ca70ee58dac62621de29b1bbb Mon Sep 17 00:00:00 2001 From: Imants Pulkstenis Date: Sat, 4 Apr 2020 16:06:23 +0300 Subject: [PATCH] Changes to Matlab model --- matlab/fourier_aprox.m | 23 -- matlab/gong.wav | Bin 0 -> 84100 bytes matlab/handel.wav | Bin 0 -> 146270 bytes matlab/myfft.m | 294 --------------------- matlab/myfft2.m | 510 ------------------------------------ matlab/myfft4_real_imag.asv | 144 ---------- matlab/myfft4_real_imag.m | 159 +++++------ top.v | 2 +- 8 files changed, 67 insertions(+), 1065 deletions(-) delete mode 100644 matlab/fourier_aprox.m create mode 100644 matlab/gong.wav create mode 100644 matlab/handel.wav delete mode 100644 matlab/myfft.m delete mode 100644 matlab/myfft2.m delete mode 100644 matlab/myfft4_real_imag.asv diff --git a/matlab/fourier_aprox.m b/matlab/fourier_aprox.m deleted file mode 100644 index 913251f..0000000 --- a/matlab/fourier_aprox.m +++ /dev/null @@ -1,23 +0,0 @@ -dt = 0.01; -T = 1; -t = [0:dt:T]' ; -omega0 = 2 * pi /T; -N = length (t); -N2 = round (N/2); -x = ones(N, 1); -x (N2 + 1:N) = -1 * ones(N - N2, 1); -a(1) = 1/T * ( sum (x) * dt); -xfs = a(1) * ones( size(x)); -for k = 1:10 - ck = cos (k * omega0 * t); % cosine component - a(k + 1) = 2/T * ( sum (x.* ck) * dt); - sk = sin (k * omega0 * t); % sine component - b(k + 1) = 2/T * ( sum (x.* sk) * dt); - - % Fourier series approximation - xfs = xfs + a(k + 1) * cos (k * omega0 * t) + b(k + 1) * sin (k * omega0 * t); - plot (t, x, '-' , t, xfs, ':' ); - legend ( ' desired ' , ' approximated ' ); - drawnow ; - pause (1); -end \ No newline at end of file diff --git a/matlab/gong.wav b/matlab/gong.wav new file mode 100644 index 0000000000000000000000000000000000000000..6e5b4db44d1ebacf3f4768da3e4edc0b4e8cd001 GIT binary patch literal 84100 zcmXuM4M^MhwlRYATVQb6XM^3MIoBb-M z>|0u7=)rK(Ins@Lpw-PdgNnmUwT{YwbR24}Xeov$AqJxuYof+P6E)w-T~FoRWy3II z&HrQl)_T_SJZt5v+UwWp@G 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z!46gfaPZ;L>O>dcx$&2e=D|D_CcHJftIYXyMItPWnIDCY4WGU<=)@=4E&+4JjPo6v zxkBo*-A};MRCnQsF5=M(d35qurx%1rs4lR0)l-vktE}9b8yR;#H&lMY>A}V4@a21^ zzYaIS-&H@u75MR~_dRX#%G<~8mF3)28g@KU@m~cX7xTH)Lt{nK&Z;l;_#%#YP3r>1 z#k= 0; - for n = 1 : fftLength/2; - Wn(n) = exp(-j * (n-1) * 2 * pi/ 2^(st) ); - Wr(n) = real(Wn(n)); - Wi(n) = imag(Wn(n)); - end - for i = 1 : 2^st : fftLength; - for k = 0 : 2^(st-1)-1; - % Even - stage(st+1,i+k) = stage(st,i+k) + Wn(k+1)*stage(st,i+k+2^(st-1)); - real_n(st+1,i+k) = real_n(st,i+k) + Wn(k+1)*real_n(st,i+k+2^(st-1)); - imag_n(st+1,i+k) = imag_n(st,i+k) + Wn(k+1)*imag_n(st,i+k+2^(st-1)); - % Odd - stage(st+1,i+k+2^(st-1)) = stage(st,i+k) - Wn(k+1)*stage(st,i+k+2^(st-1)); - real_n(st+1,i+k+2^(st-1)) = real_n(st,i+k) - Wn(k+1)*real_n(st,i+k+2^(st-1)); - imag_n(st+1,i+k+2^(st-1)) = imag_n(st,i+k) - Wn(k+1)*imag_n(st,i+k+2^(st-1)); - end - end - end -end - -%% Ploting out -% slowly plot result -figure(5) -for i = 1 : bits + 1; - %plot( abs( real_n(i, :) + j.*imag_n(i, :) ) ); - %plot( fax_kHz, abs( fftshift( real_n(i, :) + j.*imag_n(i,:) ) ) ), grid minor,; - plot( fax_kHz, abs( fftshift( stage(i,:) ) ) ), grid minor,; - %pause(1); -end - -title('Linear Magnitude FFT') -ylabel('magnitude'), xlabel('kHz') - -figure(6) -for i = 1 : bits + 1; - %plot( abs( real_n(i, :) + j.*imag_n(i, :) ) ); - plot( fax_kHz, abs( fftshift( real_n(i, :) + j.*imag_n(i,:) ) ) ), grid minor,; - %plot( fax_kHz, abs( fftshift( stage(i,:) ) ) ), grid minor,; - %pause(1); -end - -title('Linear Magnitude FFT, ploted from Real + Imag') -ylabel('magnitude'), xlabel('kHz') diff --git a/matlab/myfft4_real_imag.m b/matlab/myfft4_real_imag.m index d8114da..94a3258 100644 --- a/matlab/myfft4_real_imag.m +++ b/matlab/myfft4_real_imag.m @@ -5,75 +5,51 @@ clear; % clears all previus values from memory clc; % clear command window fs = 44100; % samplinf freq. -fftLength=256; % windowlength +fftLength=2^9; % windowlength stage_num = log2(fftLength); +Wn_word = 12; % signed fixed point lenght for Wn (fraction is word-2) +samp_word = 8; % word lenght of samped signal (fraction is word-2) +w_bits = 10; % signed fixed point integer bit lenght +f_bits = 10; % signed fixed point integer bit lenght for calculations -while 1 % Checking for correct "fftLength"-Wondow length value -if ~mod(stage_num,1)==0 - error('"fftLength"-Wondow length value must be a numer: 2^x= : 2, 4, 8, 16, 32,...'); - break -else - % continue working if value is correct -% signal frequencies -max = 2048 - 1 ; - -f1 = 430; -a1 = 0; - -f2 = 4300; -a2 = 0; - -f3 = 8000; -a3 = max/2; - -% calculating signals -comp1 = a1 * sin(2*pi*f1*[0:1/fs:1]); -comp2 = a2 * sin(2*pi*f2*[0:1/fs:1]); -comp3 = a3 * sin(2*pi*f3*[0:1/fs:1]); -Length = length(comp3); - -data = comp1 + comp2 + comp3; % creates vector from 3 sin functions -%data = comp3; - -% Plot shifting to center -bin_vals = [0 : fftLength-1]; -N_2 = ceil(fftLength/2); -fax_kHz = (bin_vals-N_2)*fs/fftLength/1000; - -freq3 = ceil(-(fftLength)/2:1:(fftLength)/2).*(fs/fftLength)/1000; - -figure(1) % plots separete sin functions -hold off, -%plot ( comp1, '-'); -hold on; -%plot ( comp2, '-'); -plot (comp3, '-') -xlim([1 50]), grid minor,; -title('Separete SIN functions') -ylabel('magnitude'), xlabel('time') -hold off; + +% reading input audio file +% audio samples are from matlab examples +% load handel.mat +% filename = 'handel.wav'; +% load gong.mat; +filename = 'gong.wav'; +% audiowrite(filename,y,Fs); +[y,fs] = audioread(filename); +data = sfi(y, samp_word, samp_word-2); +m = 7; % alow select section of signal for FFT +data_cut = data(fftLength*m+1:fftLength*m+fftLength); +%sound(data.double,fs); figure(2) % plots signal for fft -plot (data), grid minor,; -xlim([1 50]) +plot (data_cut), grid minor, +% xlim([fftLength*m+1 fftLength*m+fftLength]) title('Signal for FFT analysis FFT') ylabel('magnitude'), xlabel('time') + +bin_vals = [0 : fftLength-1]; + figure(3) % plots resultinf fft from Matlab functions -ft = fft(data,fftLength); +ft = fft(data_cut.double,fftLength); ft1 = fftshift(ft); ftMag = abs(ft1); -plot (fax_kHz,ftMag), grid minor, +plot (bin_vals,ftMag), grid minor, title('Linear Magnitude FFT') -ylabel('magnitude'), xlabel('kHz') +ylabel('magnitude'), xlabel(' ') -figure(4) % plots resultinf fft(in dB) from Matlab functions -ft = fft(data,fftLength); -ft1 = fftshift(ft); -ftMag = abs(ft1(1:fftLength)); -plot (fax_kHz,20*log10(ftMag)), grid minor, -title('dB Magnitude') -ylabel('dB'), xlabel('kHz') +% figure(4) % plots resultinf fft(in dB) from Matlab functions +% ft = fft(data.double,fftLength); +% ft1 = fftshift(ft); +% ftMag = abs(ft1(1:fftLength)); +% plot (bin_vals,20*log10(ftMag)), grid minor, +% title('dB Magnitude') +% ylabel('dB'), xlabel(' ') %% Data preparation for FFT @@ -97,67 +73,64 @@ imag_n_sfi = zeros(bits+1,fftLength); %% Starting stages -for st = 0 : stage_num; +for st = 0 : stage_num if st == 0 - for tmp=1:fftLength; - stage(st+1,tmp) = data(rev_bit_dec(tmp)+1); - real_n(st+1,tmp) = data(rev_bit_dec(tmp)+1); + for tmp=1:fftLength + stage(st+1,tmp) = data_cut(rev_bit_dec(tmp)+1); + real_n(st+1,tmp) = data_cut(rev_bit_dec(tmp)+1); + real_n_sfi(st+1,tmp) = sfi(real_n(st+1,tmp),f_bits + w_bits ,f_bits); end else st > 0; - for n = 1 : fftLength/2; + for n = 1 : fftLength/2 Wn(n) = exp(-j * (n-1) * 2 * pi/ 2^(st) ); - Wr(n) = real(Wn(n)); - Wi(n) = imag(Wn(n)); +% Wr(n) = real(Wn(n)); +% Wi(n) = imag(Wn(n)); + Wr(n) = sfi(real(Wn(n)),Wn_word,Wn_word-2); + Wi(n) = sfi(imag(Wn(n)),Wn_word,Wn_word-2); end - for i = 1 : 2^st : fftLength; - for k = 0 : 2^(st-1)-1; + for i = 1 : 2^st : fftLength + for k = 0 : 2^(st-1)-1 % Even stage(st+1,i+k) = stage(st,i+k) + Wn(k+1)*stage(st,i+k+2^(st-1)); - real_n(st+1,i+k) = real_n(st,i+k) + Wr(k+1)*real_n(st,i+k+2^(st-1)) - Wi(k+1)*imag_n(st,i+k+2^(st-1)); - imag_n(st+1,i+k) = imag_n(st,i+k) + Wi(k+1)*real_n(st,i+k+2^(st-1)) + + Wr(k+1)*imag_n(st,i+k+2^(st-1)); + real_n(st+1,i+k) = real_n_sfi(st,i+k) + Wr(k+1)*real_n_sfi(st,i+k+2^(st-1)) - Wi(k+1)*imag_n_sfi(st,i+k+2^(st-1)); + imag_n(st+1,i+k) = imag_n_sfi(st,i+k) + Wi(k+1)*real_n_sfi(st,i+k+2^(st-1)) + Wr(k+1)*imag_n_sfi(st,i+k+2^(st-1)); + real_n_sfi(st+1,i+k) = sfi(real_n(st+1,i+k),f_bits + w_bits,f_bits); + imag_n_sfi(st+1,i+k) = sfi(imag_n(st+1,i+k),f_bits + w_bits,f_bits); % Odd stage(st+1,i+k+2^(st-1)) = stage(st,i+k) - Wn(k+1)*stage(st,i+k+2^(st-1)); - real_n(st+1,i+k+2^(st-1)) = real_n(st,i+k) - Wr(k+1)*real_n(st,i+k+2^(st-1)) + Wi(k+1)*imag_n(st,i+k+2^(st-1)); - imag_n(st+1,i+k+2^(st-1)) = imag_n(st,i+k) - Wi(k+1)*real_n(st,i+k+2^(st-1)) - Wr(k+1)*imag_n(st,i+k+2^(st-1)); + real_n(st+1,i+k+2^(st-1)) = real_n_sfi(st,i+k) - Wr(k+1)*real_n_sfi(st,i+k+2^(st-1)) + Wi(k+1)*imag_n_sfi(st,i+k+2^(st-1)); + imag_n(st+1,i+k+2^(st-1)) = imag_n_sfi(st,i+k) - Wi(k+1)*real_n_sfi(st,i+k+2^(st-1)) - Wr(k+1)*imag_n_sfi(st,i+k+2^(st-1)); + real_n_sfi(st+1,i+k+2^(st-1)) = sfi(real_n(st+1,i+k+2^(st-1)),f_bits + w_bits,f_bits); + imag_n_sfi(st+1,i+k+2^(st-1)) = sfi(imag_n(st+1,i+k+2^(st-1)),f_bits + w_bits,f_bits); end end end end -%% Constructing signed fixed-point numeric objects - - for n = 1 : fftLength/2; - Wr_sfi(n) = sfi(real(Wn(n)),16); - Wi_sfi(n) = sfi(imag(Wn(n)),16); - end - - for n = 1 : fftLength; - for k = 1 : st + 1 - real_n_sfi(k,n) = sfi(real_n(k,n),24); - imag_n_sfi(k,n) = sfi(imag_n(k,n),24); - end - end - %% Plotting out % for slowly result plotting uncomment pause figure(5) -for i = 1 : bits + 1; +%for i = 1 : bits + 1; +for i = bits+1 : bits + 1 %plot( fax_kHz, abs( fftshift( real_n(i, :) + j.*imag_n(i,:) ) ) ), - plot( fax_kHz, abs( fftshift( stage(i,:) ) ) ), - grid minor, title('Linear Magnitude FFT'), ylabel('magnitude'), xlabel('kHz'); + plot( bin_vals, abs( fftshift( stage(i,:) ) ) ), + grid minor, title('Linear Magnitude FFT'), ylabel('magnitude'), xlabel(' '); %pause(1); end figure(6) -for i = 1 : bits + 1; - plot( fax_kHz, abs( fftshift( real_n(i, :) + j.*imag_n(i,:) ) ) ), - grid minor, title('Linear Magnitude FFT, ploted from Real + Imag'), ylabel('magnitude'), xlabel('kHz'); +%for i = 1 : bits + 1; +for i = bits+1 : bits + 1 + plot( bin_vals, abs( fftshift( real_n_sfi(i, :) + j.*imag_n_sfi(i,:) ) ) ), + grid minor, title('Linear Magnitude FFT, ploted from Real + Imag'), ylabel('magnitude'), xlabel(' '); %plot( fax_kHz, abs( fftshift( stage(i,:) ) ) ), grid minor,; %pause(1); end -break -end -end +figure(7) +dif = abs( fftshift( stage(bits+1,:) ) ) - abs( fftshift( real_n_sfi(bits+1, :) + j.*imag_n_sfi(bits+1,:) ) ) ; +plot( bin_vals, dif ) +grid minor, title('Difference in plots'), ylabel('diff magnitude'), xlabel(' '); + diff --git a/top.v b/top.v index 897795a..5df75eb 100644 --- a/top.v +++ b/top.v @@ -111,7 +111,7 @@ io_module #( .sclk_ws_ratio(sclk_ws_ratio), //number of sclk periods per word select period .d_width(d_width) //data width ) io_module ( - //.reset_n(reset_n), //asynchronous active high reset + .reset(reset_n), //asynchronous active high reset .mclk(master_clk), //master clock .da_sclk(da_sclk), //serial clock (or bit clock) .da_ws(da_lrck), //word select (or left-right clock)