A R5913 Pages: 2
5 a) Convert the analog filter H(s) given below in to a second order Butterworth (6)

digital filter using impulse invariance technique.

1
(s) = ‏ہے ہے‎
52 + \/25 + 1
0) Why can’t we use impulse invariance technique for implementing digital (4)

highpass filter?

c) Describe the steps involved in the design of digital Butterworth bandpass filter? (5) 6 a) Derive
the equation for cutoff frequency in Butterworth filter? (5) b) Apply bilinear transformation to
Q=- with T = 1 sec and find (5)

()( )
H(z)?
c) What is warping effect in bilinear transformation method and how can we (5) eliminate it?
PARTC
Answer any two full questions, each carries 20 marks.
7 a) Draw the block diagram of TMS320C67XX and explain functions of each (10) block?
b) Realize the system function using minimum number of multipliers (5)
H(z) = (1 + 21) (1 + 0.521 + 0,522 + 23)
c) Obtain the transposed directform 11 structure for the system (5) y(n) = 0.5y(n - 1) -
0.25y(n - 2) + x(n) + x(n - 1)
8 a) Realize the system given by difference equation y(n ) = -0.ly(n - 1) + 0.2y(n - (6) 2) + 3x(n)
+ 3.6x(n - 1) + 0.6x(n - 2) in cascade form?
b) Obtain the parallel form realization for above system (6)
€) Find the lattice structure implementation of FIR filter h(n) = {1, 13/24, 5/8, 1/3} (8) 9
a) Explain the effect of coefficient quantization in IIR and FIR filters? (10) b) If
quantization noise has uniform distribution with zero mean, find the (5) quantization
noise in ADC with step size A?

c) A signal x(n) is obtained by sampling analog signal x(t) at twice the Nyquist (5) rate. If we

wish to down sample x(n) by a factor 4, obtain the bandwidth of the decimation filter

required for supressing aliasing distortion.

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