# IIR Frequency Domain Filter Analysis

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

1. Filter parameter optimization technique is used for designing of which of the following?
a) FIR in time domain
b) FIR in frequency domain
c) IIR in time domain
d) IIR in frequency domain

2. In this type of designing, the system function of IIR filter is expressed in which form?
a) Parallel form
c) Mixed form
d) Any of the mentioned

3. It is more convenient to deal with the envelope delay as a function of frequency.
a) True
b) False

4. Which of the following gives the equation for envelope delay?
a) dϴ(ω)/dω
b) ϴ(ω)
c) -dϴ(ω)/dω
d) -ϴ(ω)

5. What is the error in magnitude at the frequency ωk?
c) G.A(ωk) – A(ωk)
d) None of the mentioned

6. What is the error in delay at the frequency ωk?
a) Tgk)-Tdk)
b) Tgk)+Tdk)
c) Tdk)
d) None of the mentioned

7. The choice of Tdk) for error in delay is complicated.
a) True
b) False

8. If the error in delay is defined as Tgk) – Tg0) – Td(ωkk), then what is Tg0)?
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

9. We cannot choose any arbitrary function for the errors in magnitude and delay.
a) True
b) False

10. 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

11. 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

12. 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

13. 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

14. Minimization of the error function over the remaining 4K parameters is performed by an iterative method.
a) True
b) False

15. The iterative process may converge to a global minimum.
a) True
b) False