What is the system function for a two pole band pass filter that has the centre of its pass band at ω=π/2, zero its frequency response characteristic at ω=0 and at ω=π, and its magnitude response is 1/√2 at ω=4π/9?

\(0.15\frac{1-z^{-2}}{1+0.7z^{-2}}\)

\(0.15\frac{1+z^{-2}}{1-0.7z^{-2}}\)

\(0.15\frac{1-z^{-2}}{1-0.7z^{-2}}\)

\(0.15\frac{1+z^{-2}}{1+0.7z^{-2}}\)

If the phase ϴ(ω) of the system is linear, then the group delay of the system?

Increases with frequency of signal

Decreases with frequency of signal

Independent of frequency of signal

Explore topic-wise MCQs in Digital Signal Processing Questions and Answers.

This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Digital Signal Processing Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.

1.	The filter with the system function H(z)=z-k is a ____________
A.	Notch filter
B.	Band pass filter
C.	All pass filter
D.	None of the mentioned
Answer» D. None of the mentioned

Discussion

2.	Which of the following filters have a frequency response as shown below?
A.	Band pass filter
B.	Band stop filter
C.	All pass filter
D.	Notch filter
Answer» E.

Discussion

3.	If hlp(n) denotes the impulse response of a low pass filter with frequency response Hlp(ω), then what is the frequency response of the high pass filter in terms of Hlp(ω)?
A.	Hlp(ω-π/2)
B.	Hlp(ω+π/2)
C.	Hlp(ω-π)
D.	Hlp(ω+π)
Answer» D. Hlp(ω+π)

Discussion

4.	What is the system function for a two pole band pass filter that has the centre of its pass band at ω=π/2, zero its frequency response characteristic at ω=0 and at ω=π, and its magnitude response is 1/√2 at ω=4π/9?
A.	\(0.15\frac{1-z^{-2}}{1+0.7z^{-2}}\)
B.	\(0.15\frac{1+z^{-2}}{1-0.7z^{-2}}\)
C.	\(0.15\frac{1-z^{-2}}{1-0.7z^{-2}}\)
D.	\(0.15\frac{1+z^{-2}}{1+0.7z^{-2}}\)
Answer» B. \(0.15\frac{1+z^{-2}}{1-0.7z^{-2}}\)

Discussion

5.	A two pole low pass filter has a system function H(z)=\(\frac{b_0}{(1-pz^{-1})^2}\), What is the value of ‘b0‘ such that the frequency response H(ω) satisfies the condition \|H(π/4)\|2=1/2 and H(0)=1?
A.	0.36
B.	0.38
C.	0.32
D.	0.46
Answer» E.

Discussion

6.	A two pole low pass filter has a system function H(z)=\(\frac{b_0}{(1-pz^{-1})^2}\), What is the value of ‘p’ such that the frequency response H(ω) satisfies the condition \|H(π/4)\|2=1/2 and H(0)=1?
A.	0.46
B.	0.38
C.	0.32
D.	0.36
Answer» D. 0.36

Discussion

7.	If the phase ϴ(ω) of the system is linear, then the group delay of the system?
A.	Increases with frequency of signal
B.	Constant
C.	Decreases with frequency of signal
D.	Independent of frequency of signal
Answer» C. Decreases with frequency of signal

Discussion

8.	The ‘Envelope delay’ or ‘Group delay’ is the time delay that the signal component of frequency ω undergoes as it passes from the input to the output of the system.
A.	True
B.	False
Answer» B. False

Discussion

Explore topic-wise MCQs in Digital Signal Processing Questions and Answers.

The filter with the system function H(z)=z-k is a ____________

Which of the following filters have a frequency response as shown below?

If hlp(n) denotes the impulse response of a low pass filter with frequency response Hlp(ω), then what is the frequency response of the high pass filter in terms of Hlp(ω)?

What is the system function for a two pole band pass filter that has the centre of its pass band at ω=π/2, zero its frequency response characteristic at ω=0 and at ω=π, and its magnitude response is 1/√2 at ω=4π/9?

A two pole low pass filter has a system function H(z)=\(\frac{b_0}{(1-pz^{-1})^2}\), What is the value of ‘b0‘ such that the frequency response H(ω) satisfies the condition |H(π/4)|2=1/2 and H(0)=1?

A two pole low pass filter has a system function H(z)=\(\frac{b_0}{(1-pz^{-1})^2}\), What is the value of ‘p’ such that the frequency response H(ω) satisfies the condition |H(π/4)|2=1/2 and H(0)=1?

If the phase ϴ(ω) of the system is linear, then the group delay of the system?

The ‘Envelope delay’ or ‘Group delay’ is the time delay that the signal component of frequency ω undergoes as it passes from the input to the output of the system.