# IIR Frequency Domain Filter Analysis MCQ’s

This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “IIR Frequency Domain Filter Analysis”.

1. If the error in delay is defined as T_{g}(ω_{k}) – T_{g}(ω_{0}) – T_{d}(ωk_{k}), then what is T_{g}(ω_{0})?

a) Filter delay at nominal frequency in stop band

b) Filter delay at nominal frequency in transition band

c) Filter delay at nominal frequency

d) Filter delay at nominal frequency in pass band

2. Which of the following is true about the squared-error function E(p,G)?

a) Linear function of 4K parameters

b) Linear function of 4K+1 parameters

c) Non-Linear function of 4K parameters

d) Non-Linear function of 4K+1 parameters

3. What should be the value of λ for the error to be placed equally on magnitude and delay?

a) 1

b) 1/2

c) 0

d) None of the mentioned

4. What is the error in magnitude at the frequency ω_{k}?

a) G.A(ω_{k}) + A_{d}(ω_{k})

b) G.A(ω_{k}) – A_{d}(ω_{k})

c) G.A(ω_{k}) – A(ω_{k})

d) None of the mentioned

5. What is the error in delay at the frequency ω_{k}?

a) T_{g}(ω_{k})-T_{d}(ω_{k})

b) T_{g}(ω_{k})+T_{d}(ω_{k})

c) T_{d}(ω_{k})

d) None of the mentioned

6. Minimization of the error function over the remaining 4K parameters is performed by an iterative method.

a) True

b) False

7. It is more convenient to deal with the envelope delay as a function of frequency.

a) True

b) False

8. The choice of T_{d}(ω_{k}) for error in delay is complicated.

a) True

b) False

9. What does ‘p’ represents in the arbitrary function of error?

a) 2K-dimension vector

b) 3K-dimension vector

c) 4K-dimension vector

d) None of the mentioned

10. Filter parameter optimization technique is used for designing which of the following?

a) FIR in time domain

b) FIR in frequency domain

c) IIR in time domain

d) IIR in frequency domain

11. We cannot choose any arbitrary function for the errors in magnitude and delay.

a) True

b) False

12. What should be the value of λ for the error to be placed entirely on delay?

a) 1

b) 1/2

c) 0

d) None of the mentioned

13. Which of the following gives the equation for envelope delay?

a) dϴ(ω)/dω

b) ϴ(ω)

c) -dϴ(ω)/dω

d) -ϴ(ω)

14. The iterative process may converge to a global minimum.

a) True

b) False

15. In this type of designing, the system function of IIR filter is expressed in which form?

a) Parallel form

b) Cascade form

c) Mixed form

d) Any of the mentioned