Amrita Vishwa Vidyapeetham 2009 B.Tech Electronics and Communications Engineering Digital Signal Processing 1st internal - Question Paper

Amrita Vishwa Vidyapeetham

Amrita School of Engineering, Amritapuri

First Periodical Examination, February 2009

EE 322 Digital Signal Processing

S4 ECE

 

Time: 2 hours Maximum Marks: 50 (Answer all the questions)

 

1. Compute the energy of the N-point sequence

(6)

2. Let be an analog signal with band width We wish to use an point DFT to compute the spectrum of the signal with resolution less than or equal to Determine

(a)    The minimum sampling rate

(b)   The minimum number of required samples and

(c)    The minimum length of the analog signal.

(6)

3. State and prove the Circular shift property of DFT

(6)

4. Find the circular convolution of and.

(6)

5.      Find the Z transform of the sequence and sample it at 6 points

on the unit circle using the relation using the relation ,where

. Find the sequence without computing.

(6)

5. Consider a finite length sequence

i. Find the 10 point DFT of.

ii.                  Find the sequence that has a DFT, , where is the 10 point DFT of.

(10)

6. For the sequences and Determine the N- point;

i.                    Circular Correlation of and.

ii.                  Auto Correlation of.

(10)