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D7095

PART C
Answer any twofull questions, each carries10 marks.
Find the exponential Fourier series of the given signal. Plot the magnitude and
phase spectrum.
/ x(t) = 67
ee
ತಕ -5 -4 33 -2 -1 0 1 2 3 456

t
Find the Fourier transform of the signal x(t) = e~“*u(t)
Obtain the trigonometric Fourier series of the following signal
1) []
A
नशा “IT ப்‌ ரா 27

State and prove Sampling Theorem
Using matrixmethod find the convolution ofx[n] = (1, 4, 3, 1}and h[n] =
{1,2,3,2}
PART D
Answer any twofull questions, each carries 10 marks.
Find the z-transform and ROC of x(n) = 60 u(n)

31

Find the inverse Z-transform of X(z) = ವಾನ್‌
1) ROC is |2| > 211) ROC is |2| ಆ 1

An LTI system is described by the difference equation

9 1
y(n) - qa - 1) + 20 - 2) =x(n) - 3x(n - 1)
Specify the ROC of H(z), and determine h(n) for the following conditions
i) The system is stable ii) The system is causal
Determine the Fourier series representation of the following discrete time signal

and sketch the frequency spectrum
x(n)={.....1,2,-1,1,2,-1,1,2,-1. }

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