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G192079 Pages:2

y(n) = = yn— 1) + 37," - 2) + ain — 3) +x(n) + 31 - 1) + 2x(n—- 2)

PART ட
Answer any two full questions, each carries 10 marks.

Design a low pass Butterworth digital filter to give attenuation of 3dB or less for
frequencies up to 2kHz and attenuation of 20dB or more beyond 4kHz. Use
bilinear transformation and obtain H(z) of the desired filter. Given sampling
interval T=0.1 millisecond.

Write down the transfer function H(s) of a 3™ order Chebyshev low pass filter
and cut-off frequency of 1 rad/sec. Determine H(z) by using approximation of
derivative method with a sampling interval of 1 sec.

What is the need for windowing technique for FIR filter design?

Design a bandpass filter to pass the frequency in the range 1-2 rad/samples using
Hamming window. Also find frequency response of the filter. Take N=5.

PART D
Answer any two full questions, each carries 10 marks.
Obtain the limit cycle behaviour of the system described by
y(n) = Qlay(n-1)]+ x(n), where y(n)is the output of the filter and 2] is the
rounded operation. Assume a= -5 , x(0) =0.875& x=0, for 120 choose 4
bit including sign bit.
Draw the product quantization noise model of IIR system with two first order

sections in cascade.

The output of an ADC is applied to a digital filter with system function

H(z) ‏۔‎ Find the output noise power from digital filter when input
2-0.

signal is quantized to have 8 bits.
Define any 5 branching instructions in TMS 320 C24x processor.
Draw the internal architecture of Central Processing Unit of TMS 320 C24x

processor and define each block.

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