06000EE307122002

11 Find the zero state response for a system with transfer function
_ 542] ⋅ ६ ‏ع‎
‎H(s) = ‏ہچ‎ if the input is e~*u(t).
PART C
Answer any two full questions, each carries10 marks.
12 Find the complex exponential Fourier series representation of the following

signal. Also plot the magnitude spectrum.
x(t) = 4cos2wot
Here wois the fundamental frequency in rad/sec.

13 Find the frequency response of the RC circuit shown below. Plot the magnitude

and phase response for RC=1?

14 a) Determine the step response of a system with impulse response given by
h[n] = a"u[n].
b) Consider the analog signal x,(t) = 200420007೭ + 5947140001 + 12605120007.
Determine the Nyquist sampling rate.

PARTD
Answer any two full questions, each carries 10 marks.
15 Solve difference equation using z-transform

1 [71] + 2y[n - 1] = x[n]
with x[n] = 6 u[n],and the initial condition y(—1) = 1?

16 ஐ Find the inverse z-transform of

X(c) = 321
@ = त्‌ - पत - प
if ROC isi) |z| > 2, ii) |zl > 1, iii) 1 < |2| > 2

b) Write ೩ short note on random signals and random processes.
17 a) Determine the expression for magnitude and phase response of the following
system y[n] = x[n] - 2x[n - 1] + x[n —2].

RK RR

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