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Signals and Systems
Digital Filter Design

Practice questions from Digital Filter Design.

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Q#1 Digital Filter Design GATE EC 2016 (Set 1) MCQ +2 marks -0.66 marks

The direct form structure of an FIR (finite impulse response) filter is shown in the figure.

23.jpg

The filter can be used to approximate a

low-pass filter

high-pass filter

band-pass filter

band-stop filter

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Q#2 Digital Filter Design GATE EC 2014 (Set 2) MCQ +1 mark -0.33 marks

An FIR system is described by the system function  . The system is

Maximum phase

Minimum phase

Mixed phase

zero phase

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Q#3 Digital Filter Design GATE EC 2009 (Set 1) MCQ +2 marks -0.66 marks

A system with transfer function H(z) has impulse response h[n] defined as h[2] = 1, h[3] = –1 and h[k] = 0 otherwise. Consider the following statements.

S1: H (z) is a low-pass filter.

S2: H (z) is an FIR filter.

Which of the following is correct?

Only S2 is true.

Both S1 and S2 are false.

Both S1 and S2 are true, and S2 is a reason for S1

Both S1 and S2 are true, but S2 is not reason for S1

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Q#4 Digital Filter Design GATE EC 2003 (Set 1) MCQ +2 marks -0.66 marks

The system under consideration is an RC low-pass filter (RC-LPF) with R = 1.0 kΩ and C = 1.0 μF.

Let H(f) denote the frequency response of the RC-LPF. Let  be the highest frequency such that . Then  (in Hz) is

327.8

163.9

52.2

104.4

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Q#5 Digital Filter Design GATE EC 2003 (Set 1) MCQ +2 marks -0.66 marks

The system under consideration is an RC low-pass filter (RC-LPF) with R = 1.0 kΩ and C = 1.0 μF.

Let  be the group delay function of the given RC-LPF and   Then  in ms, is

0.717

7.17

71.7

4.505

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