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06000EC301122001

SB region: 2.1 - 4 kHz

PB ripple:2dB

SB attenuation:20dB
Sampling frequency: 10kHz

Obtain the transfer function of the digital filter.
தாம
An FIR filter function given by H(z) = ~~ Determine whether the filter

function represents a low pass filter, high pass filter, bandpass filter or a band
reject filter.

The transfer function of an analog low pass filter is given by H(s) =

0.2 ⋅ ⋅ ⋅ ⋅⋅ ⋅ ⋅
−⋖⋝⋝≁⋅⊙↾⊃↥∂⋯⋔⊜↧⊏∂∏⊰∱⊖↥⋅∱∐∏∁⊔∘∏⊙∏↾↧⊖ equivalent digital filter using
(s?+0.45+9.04)
impulse invariant method. (Use T=1sec)

Explain the characteristics of a Butterworth filter

Design an FIR filter that realizes the frequency response given by
H(w) =e", 0<|wl< 7
0, 3 ട്‌ |०|< 7
Using frequency sampling method, determine the filter coefficients.
Design a normalized linear phase FIR filter with a phase delay of t=4, and atleast
50dB attenuation in the stopband. Also obtain its magnitude response.

Compare IIR filters and FIR filters.

PART C
Answer any two full questions, each carries 20 marks.

Obtain parallel form realization of an IIR filter defined by the transfer function

0.7-0.2522-2
140.12-1-0.722-2

12) =

. . 0.14-0.15312 1 -0.2522 2
Obtain the direct form 11 structure for H(z) = ——————————_ Redraw th
6 dire பூ (2) 1+0.215271-0.662272 ९0 ப

structure if the filter is realized on a fixed point processor using 8 bit word length
in Q7 format. (Use truncation for quantization of the coefficients).

Briefly explain the working of a MAC unit in a DSP processor with a neat
diagram.

Elaborate the possible errors that may arise when an FIR filter is realized on a
finite word length processor.

i.) Given an input sequence x(n)={1 3 2 5 2 8 5 1 9}, which is fed to an

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