 WELCOME TO IP UNIVERSITY QUESTION PAPERS WEBSITE
Homepage : http://ippapers.tripod.com/    |     Back to VI semester papers

# Second-Term Examination

Sixth Semester [B.Tech] - April  2006

 Paper Code : ETEC – 306 Subject : Digital Signal Processing
 Time : 11/2 Hours Maximum Marks : 30
 Note : Attempt any 3 questions in all. Q1 is compulsory. Each question carries 10 marks.

 Q1 ( a ) State and prove the following properties of Discrete Fourier Transform (DFT). a) Circular Frequency Shift b) Circular Convolution c) Time reversal 2.5 x 3 ( b ) The FIR filter of length N=11 has linear phase. Show that the following condition is satisfied 5

 Q2 ( a ) For the given sequence calculate: a) Circular convolution b) Linear convolution h(n) = [ 1 2 3 4 ]          x(n) = [ 1 2 2 1 ] using circular shift. 5 ( b ) Consider the folowing sequences x1(n) = [ 0 1 2 3 4 ]          x2(n) = [ 0 1 0 0 0 ] and their 5-point DFTs. Determine the sequence y(n) so that Y(k) = X1(k) X2(k) ? 5

 Q3 ( a ) Find the 8-pt DFT of the sequence using SR-2 DIT FFT algorithm. x(n) = [ 1 2 3 4 4 3 2 1 ] and from the obtained result compute the sequence x(n) using SR-2 DIF IFFT algorithm. 5 + 5

 Q4 ( a ) Design an ideal band pass filter with a desired frequency response for N=11 10