EE252- Signals and Systems
HW#02
Submission instructions:
Weightage: 5% of the final grade
Due Date: Wednesday 27th April, 2022 during class timing
Problem#01: (20 marks)
Use partial fraction to determine the inverse CTFT or DTFT of the following
signals:
(a)
(b)
(c)
(d)
Problem#02: (10 marks)
Determine the frequency response and impulse response for the systems described
by the following equations:
(a)
(b)
Problem#03: (10 marks)
Determine the differential or difference equation described by the following
impulse response:
(a)
(b)
Problem#04: (20 marks)
Using the FT properties, find the inverse CTFT or DTFT of the following signals:
(a)
(b)
(c)
(d)
Problem#05: (20 marks)
Using the FT properties, find the CTFT or DTFT of the following signals:
(a)
(b)
(c)
(d)
Problem#06: (20 marks)
The continuous-time signal with FT X(jw) as depicted in Figure is sampled.
(a) Sketch the FT of the sampled signal for the following sampling intervals:
i.
Ts = 1/14
ii. Ts = 1/7
In each case, identify whether aliasing occurs.
(b) Let x[n] = x(nTs). Sketch the DTFT of x[n] for each sampling interval given in
part (a)