function [ freq,psdx,Hz,f_max] = spect_peak(x,dt,max_f)
% computes the power spectrum of the signal x
% sampling rate is calculated by dt in s
% max_f determines the maximal frequency in Hz to show
% output Hz - frequency location of the max peak
% f_max - frequency value of the peak
%%
N = length(x); % length of the signal
Fs=1/dt; % sampling frequency
xdft = fft(x);
xdft = xdft(1:N/2+1);
psdx = (1/(Fs*N)) * abs(xdft).^2;
psdx(2:end-1) = 2*psdx(2:end-1);
freq = 0:Fs/length(x):Fs/2;
max(find(freq<=0.5)); % index of the frequency that correspond to 0.5 Hz
shift=max(find(freq<=0.5)); % 100 to get rid of the nonsense peak for low freq
f_max=max(psdx(shift:end)); % maximum peak value on the spectrum
f_max_hz=find(psdx==max(psdx(shift:end))); % maximal peak freq location
Hz=freq(f_max_hz); % peak frequency
% plot the spectrum
%
figure;
plot(freq,psdx); % /f_max, normalization
axis([1 max_f 0 f_max]);
grid on
title('Spectrum using FFT')
xlabel('Frequency (Hz)')
ylabel('Power')
%}
%%
end