No. of Pages: 2

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
SECOND SEMESTER M.TECH DEGREE EXAMINATION, APRIL/MAY 2018

Branch: Electronics and Communication Engineering

Stream: Signal Processing

Course Code & Name: 01 EC6306 Multirate Systems and Wavelets

Answer any twofull questions from each part

Limit answers to the required points.

Max. Marks: 60 Duration: 3 hours
PARTA

1. Consider the multirate s&ucture of Fig. 1, where Ho(z), HL(z) and H2(z) are 9 respectively,
ideal zero phase real coefficient low pass, band pass and high pass filters with
frequency response as indicated in Fig. 2. If the input is a real sequence with a
Discrete-Time Fourier Transform as shown in Fig. 3, sketch the output waveforms yo
(൩) and h (೧).

x(n)

x/3 2/3 മ

Fig. 1 Fig. 3

7/3 മ 7/3 2/3 ೦ 22/3 ಸಲ

Fig. 2
2. 8. Determine the computational complexity of a single-stage decimator designed 3 to
reduce the sampling rate from 40KHz to 2KHz. The decimaHon filter is to be designed as
an equiripple FIR filter with a pass-band edge at 800Hz, stopband edge at 1000112, a pass-
band ripple of 0.02, and a stop-band ripple of
0.01. Use Kaiser's formula to estimate the order of the FIR filter.