7 a)

b)

c)

8 a)

b)

9 a)

b)

02000EC202052005

PART C
Answer any two full questions, each carries20 marks.

Compute the z-Transform of the following sequences.
(¢) മിട ഗ്മ]

(ii) x[n] =a" [241]

State the properties of the Region of Convergence (ROC) of z-transform.

Find the inverse z-transform of 2 3423

श

2 2 [711], for [11] = 242].

The output ൮2) of a discrete LTI system is Find

(i) impulse response ॥[#] of the system

3172] = இ [11]
(11) output of the system for

[22] = இ [11]

Consider a discrete time LTI system with . Use DTFT to determine

208] = | : | uli]

the response of the system when excited with an input

Find the DTFT of x[n]=u[n]-u[n-N]

vl] - 26 -1] = मृष न -1[

Consider the discrete LTI system . Determine

jo
(i) The frequency response of the system ( )
(ii) Impulse response of the system 1111]
೫
2127] = ८०५ | —n
[ण] | ்‌ |

(111) | Response of the system 10 the input

मैप KK ‏بد‎

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