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(Solved): Q3. FOURIER TRANSFORM (a) Suppose that a signal x(t) is given by x(t) = te-t. Using MATLAB, gene ...
Q3. FOURIER TRANSFORM (a) Suppose that a signal x(t) is given by x(t) = te-³t. Using MATLAB, generate the Fourier transform of the signal and plot the magnitude, the angle, the real part, and the imaginary part for the range of -20 ? ? 20 rad/s. (b) Compute and plot the Fourier transform of the signal x(t) that is depicted in Figure Q3 using MATLAB. 1 x(t) 0.8 0.6 0.4 0.2 0 0 Figure Q3 [20 marks] -3 N i IN 2 3
Expert Answer
%matlab code: %exp_trg Ts=0.1; t=-5:Ts:5; x_t=t.*exp(-3*t); lfft=length(x_t); lfft=2^ceil(log2(lfft)); x_f=fftshift(fft(x_t,lfft)); freq=(-lfft/2:1:lfft/2-1)/(lfft*Ts); w_freq=2*pi*freq; figure(1); subplot(4,1,1); plot(w_freq,abs(x_f)); xlabel("