# Frequency Sampling Method FIR Design MCQ’s

This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “Frequency Sampling Method FIR Design”.

1. What is the relation between H(k+α) and h(n)?

a) H(k+α)=∑M+1n=0h(n)e−j2π(k+α)n/M; k=0,1,2…M+1

b) H(k+α)=∑M−1n=0h(n)e−j2π(k+α)n/M; k=0,1,2…M-1

c) H(k+α)=∑Mn=0h(n)e−j2π(k+α)n/M; k=0,1,2…M

d) None of the mentioned

2. What is the frequency response of a system with input h(n) and window length of M?

a) ∑M−1n=0h(n)ejωn

b) ∑Mn=0h(n)ejωn

c) ∑Mn=0h(n)e−jωn

d) ∑M−1n=0h(n)e−jωn

3. The major advantage of designing linear phase FIR filter using frequency sampling method lies in the efficient frequency sampling structure.

a) True

b) False

4. What is the equation for the frequency ω_{k} in the frequency response of an FIR filter?

a) πM(k+α)

b) 4πM(k+α)

c) 8πM(k+α)

d) 2πM(k+α)

5. Which of the following is the correct expression for h(n) in terms of H(k+α)?

a) 1M∑M−1k=0H(k+α)ej2π(k+α)n/M; n=0,1,2…M-1

b) ∑M−1k=0H(k+α)ej2π(k+α)n/M; n=0,1,2…M-1

c) 1M∑M+1k=0H(k+α)ej2π(k+α)n/M; n=0,1,2…M+1

d) ∑M+1k=0H(k+α)ej2π(k+α)n/M; n=0,1,2…M+1

6. Which of the following is equal to the value of H(k+α)?

a) H*(M-k+α)

b) H*(M+k+α)

c) H*(M+k-α)

d) H*(M-k-α)

7. In a practical implementation of the frequency sampling realization, quantization effects preclude a perfect cancellation of the poles and zeros.

a) True

b) False

8. In the frequency sampling method for FIR filter design, we specify the desired frequency response H_{d}(ω) at a set of equally spaced frequencies.

a) True

b) False

9. Why is it desirable to optimize frequency response in the transition band of the filter?

a) Increase side lobe

b) Reduce side lobe

c) Increase main lobe

d) None of the mentioned

10. Which of the following is introduced in the frequency sampling realization of the FIR filter?

a) Poles are more in number on unit circle

b) Zeros are more in number on the unit circle

c) Poles and zeros at equally spaced points on the unit circle

d) None of the mentioned

11. In the frequency sampling method for FIR filter design, we specify the desired frequency response Hd(ω) at a set of equally spaced frequencies.

a) True

b) False

12. To reduce side lobes, in which region of the filter the frequency specifications have to be optimized?

a) Stop band

b) Pass band

c) Transition band

d) None of the mentioned

13. The linear equations for determining {h(n)} from {H(k+α)} are not simplified.

a) True

b) False

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