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b/matlab/myfft4.m @@ -0,0 +1,119 @@ +%% FFT algoritm +clear; % clears all previus values from memory +clc; % clear command window +fs = 44100; % samplinf freq. +fftLength=512; % windowlength +stage_num = log2(fftLength); +% 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); +% calculatin vector values for step function +d1 = ones(1, 24); +d2 = 0.*ones(1, 1000 ); + +%data = [ d1 , d2]; % creates vector with step function +data = comp1 + comp2 + comp3; % creates vector from 3 sin functions +%data = comp3; + +% Grafika nobiides +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, '-'), grid minor,; +%xlim([1 50]) +title('Separete SIN functions') +ylabel('magnitude'), xlabel('time') +hold off; + +figure(2) % plots signal for fft +plot ( data), grid minor,; +xlim([1 50]) +title('Signal for FFT analysis FFT') +ylabel('magnitude'), xlabel('time') +%xlim([1 100]) + +figure(3) % plots resultinf fft from Matlab functions +ft =fft(data,fftLength); +ft1 = fftshift(ft); +ftMag = abs(ft1); +plot (fax_kHz,ftMag), grid minor, +title('Linear Magnitude FFT') +ylabel('magnitude'), xlabel('kHz') + +figure(4) % plots resultinf fft(in dB) from Matlab functions +ft = fft(data,fftLength+1); +ftMag = abs(ft(1:fftLength+1)); +plot (freq3,20*log10(ftMag)), grid minor, +title('dB Magnitude') +ylabel('dB'), xlabel('kHz') + +%% Data preparation for FFT + +% reverse bit calulation +bits = length(dec2bin( fftLength - 1 )); % how many bits in binary number +rev_bit_dec = zeros(1,fftLength); % create vektor size of fftlength + +stage = 1; %Do it here for stage #1 +c = 0:fftLength-1; +c_bin = de2bi(c); % create binary table +rev_bit_dec = bi2de(fliplr(circshift(c_bin',stage-1)')); %Rotate binary table and convert to dec + +% creating array +% create empty array to store values in reverse bit order +stage = zeros(bits + 1,fftLength); + +%% New stages + +for st = 0 : stage_num; + if st == 0 + for tmp=1:fftLength; + stage(st+1,tmp) = data(rev_bit_dec(tmp)+1); + end + else st > 0; + for n = 1 : fftLength/2; + Wn(n) = exp(-j * (n-1) * 2 * pi/ 2^(st) ); + 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)); + % Odd + stage(st+1,i+k+2^(st-1)) = stage(st,i+k) - Wn(k+1)*stage(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( stage(i,:) ) ) ), grid minor,; + pause(1); +end + +title('Linear Magnitude FFT') +ylabel('magnitude'), xlabel('kHz')