B.E./B.Tech. DEGREE EXAMINATION,
NOVEMBER/DECEMBER 2010

Fifth Semester

Electrical and Electronics
Engineering

EC 2314 — DIGITAL SIGNAL PROCESSING

(Regulation 2008)

Time : Three hours Maximum : 100
Marks

Answer ALL questions:

PART A — (10 × 2 = 20 Marks)

1. What are
even and odd signals?

2. Define
aliasing effect.

3. Mention
the relation between, Z transform and Fourier transform.

4. Give any
two properties of linear convolution.

5. Calculate
DFT of x(n) = {1, 1, − 2, − 2}.

6.
Differentiate between DIF and DIT.

7. What are
the advantages of FIR filter?

8. Mention
the significance of Chebyshev’s approximation.

9. Define
warping.

10. What is
BSAR instruction? Give an example.

PART B — (5 × 16 = 80 Marks)

11. (a) (i)
What do you mean by Nyquist rate? Give its significance. (6)

(ii) Explain the classification of
discrete signal. (10)

Or

(b) (i) Explain in detail the Quantization
of digital signals. (8)

(ii) Describe the different types of
sampling methods used. (8)

12. (a) (i)
Explain the properties of Z-transform. (8)

(ii) Find the impulse response given
by difference equation.

y(n)− 3y(n −1)− 4y(n − 2) = x(n)
+ 2x(n −1) (8)

Or

(b) (i) Test the stability of given
systems. (8)

(1) y(n) = cos(x (n))

(2)
y(n) = x(− n − 2)

(3)
y(n) = n x(n)

(ii) Find the convolution. (8)

x(n) = { −1, 1, 2, −
2} h(n) = { 0.5, 1, −1, 2, 0.75↑
}

13. (a) An
8-point sequence is given by x(n)= {2, 2, 2, 2, 1,1,1,1,}. Compute

8-point DFT of x(n) by radix
DIT--FFT method also sketch the

magnitude and phase. (16)

Or

(b) Determine the response of LTI system
when the input sequence is

x(n) = {−1,1,2,1,−1} using radix 2
DIF FFT. The impulse response is

h(n) =
{−1,1,−1,1}. (16)14. (a) Design a low pass filter using rectangular window by
taking I samples of

ω(n) with cut off sequence of 1.2
radians/sec also draw the filter. (16)

Or

(b) The specification of defined low pass
filter is : ( )HH

Design Chebyshev’s digital filter using
bilinear transformation. (16)

15. (a) (i)
With a neat diagram explain Von-Neumann architecture. (8)

(ii) What is MAC unit? Explain its
functions. (8)

Or

(b) Explain the architecture of TMS320C50
with a neat diagram. (16)