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E1110 Pages:

Prove that the zeros of FIR filter exists as reciprocals.

Design a digital Butterworth filter that has -1dB pass band attenuation at 200 Hz
and at least -15dB stop band attenuation at 540 Hz. Sampling frequency = 2000
Hz. Find the cut off frequency by matching pass band criterion. Use Bilinear
transformation (T = 1 sec)

PART C
Answer any two full questions, each carries 20 marks.
Explain the steps through which we obtained direct form II realization of recursive
LTI system described by difference equation.
y(n) = - ‏ہہ نة‎ 2701 —k) 3:൦2 x(n - k)
Draw the architecture block diagram of TMS320C67XX processor
Obtain the transposed direct form II structure for the system
y(n) =2y(n ~ 1) + 3y(n - 2) + x(n) + 2 x(n - 1) + 3x(n - 2)
Find the impulse response h(n) of a FIR filter, if the reflection coefficients are
Ki = 2/5, 102 = 4/21, K3 = 1/8.
What is transposition theorem and transposed structure?
Obtain direct form 11 and cascade structure for the transfer function given below.
1-227. 2-2

1 - 7 2- + ze
Explain the effect of coefficient quantization in वार and FIR filters?
What are the main features of DSP processor?
Explain the effect in the spectrum of a signal x(n) when it is

(i) Decimated by a factor 3

(11) Interpolated by a factor 2

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