Appendix
In this appendix, we present some useful Matlab functions that are used by the Matlab codes given in the chapters of this book.
Matlab code A.1: Matlab file “stft.m”function [B,T,F]=stft(Y,f,BW,r,d)
%STFT Calculates the Short Time Fourier Transform of Vector Y
% Inputs:
% Y : signal in the frequency domain
% f : vector of frequencies [Hz]
% BW : bandwidth (same unit as F) of the sliding window
% f : desired dinamic range of the display
% d : additional delay [s] (if desired)
%
% Outputs:
% B : stft of vector Y
% F : frequency vector [GHz]
% T : frequency vector [ns]
% The window used is a Kaiser window with beta=6.0
df = f(2)-f(1); % frequency resolution
Ws = round(BW/df);
if (Ws<2),
Ws=2;
end;
W = kaiser(Ws,6); % window is a Kaiser with beta=6.0
N = max(size(Y)); % find length of Y
% Spectrogram
[B,T,F] = specgram((Y.*exp(-j*2*pi*f*d))′,N,1/df,W,Ws-1);
F = F+((Ws-1)/2)*df+f(1); % set frequency axis
T = T-d; % set time axis
% Treshold the image to the dynamic range
bmax = max(max(abs(B)));
ra = bmax/(10∧(r/20));
B = B.*(abs(B)>=ra)+ra*ones(size(B)).*(abs(B)<ra);
% Display the STFT
colormap(jet(256)); %set colormap
imagesc(T*10∧(9),F*10∧(-9),20*log10(abs(B′)/bmax))
axis xy; % change origin location
xlabel(′Time [ns]′),
ylabel(′Frequency [GHz]′);
Matlab code A.2: Matlab file “cevir2.m”function out=cevir2(a,nx,ny)
% This function converts a 1D vector to a 2D matrix
% Inputs:
% a : 1D vector of length (nx*ny)
% nx : column length of the output matrix
% ny : row length of the output matrix
% Output: ...
