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03000EE307092001

PART ட்‌
Answer any two full questions, each carries 10 marks.

Obtain the trigonometric Fourier series representation of the waveform shown

below.

Briefly explain sampling theorem and signal reconstruction.
Find the output signal y(7) if the input sequence is x(n) = {1,4,3,2} and
A(n) = {1,3,2,1}.

The input and output of a causal LTI system is related by the differential

dy(t)

2 + 8y(t) = 2x(t). Find the impulse response of the

कम dott)
equation ‏ص‎ +6

system and also find the unit step response if x(t) = te~**u(t).

PART 0
Answer any two full questions, each carries 10 marks.
State and prove properties of Z transform.

Find the DTFS representation for x(n) = 5 + sin + cos न्त
2
{7 1
Evaluate the integral ‏عوك‎ 1 ۳٣ت‎ das using Fourier transform
a

2
Find the inverse Z transform 4(2] 7 (z-1)(z-2)(z-3) USing partial fraction method.

Find the Z transform and ROC of the signal கர்ப்‌ = a”u(n).

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