Description
Programming Problems (10 points)
[CO4] Q1. Let X(jω) be the Fourier transform of the signal x(t) given in Fig.2.
(a) Determine and Plot the frequency domain signal X(jω). [1 Point]
Figure 2: Q1
(b) Plot the magnitude spectrum of the frequency domain signal X(jω).[1 Point]
(c) Plot the phase spectrum of the frequency domain signal X(jω). [1 Point]
(d) Plot the inverse Fourier transform of real part of {X(jω)}. [1 Point]
[CO4] Q2. Let x[n] be a discrete-time signal with Fourier Transform X(e
jω), which is the given Fig.3. Plot the
frequency response, magnitude spectrum and phase spectrum of w[n] = x[n]p[n], for these p[n]
Figure 3: Q2
(a) p[n] = cos(πn) [2 Points]
(b) p[n] = sin(πn/2) [2 Points]
(c) p[n] = ∑ 𝛿(𝑛 − 2𝑘)
∞
𝑘=−∞
[2 Points]
