APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
SECOND SEMESTER M.TECH DEGREE EXAMINATION. MAY 2016
Electronics and Communication Engineering (Signal

Processing)

01806306 Multirate Systems and Wavelets
Max. Marks: 60 Duration: 3 Hours.

Answer any two questions from each PART
PART A

1a) Obtain the polyphase structure of the filter with Transfér function H(Z) = (1-27-1) / (1+3Z
1
).
(b) Determine the output sequence y(n) with sampling rate conversion with a rational
factor 3/4. f6r the input sequenceX(1)=[5.3.7,1,2,6,4,9,2]
(9 Marks)

2.(a) Explain two channel quadrature mirror filter bank (QMF) and obtain the condition for
alias free response.
(b) For the QMF bank. HO(Z) = 0 -FT ©). Find the transfer functions of synthesis filters
GO(Z) and GI(Z) for perfect reconstruction.
(9 Marks)

3. (a) Explain upsampler with time domain representation and derive the equation jor the
output spectrum. How the problem created by the upsampler is overcome?
(b) Obtain the polyphase efficient realization of two channel 00110117 DFT filter bank for
Analysis filter bank and Synthesis filter bank.
(9 Marks)

PART 8

4. Represent the given waveform in signal space V2 in terms of signal space VI. WO and
WI. (9 Marks)