1. 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 the frequency domain

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

A. Parallel form

B. Cascade 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 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

6. 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

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

A. True

B. False

8. If the error in the 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 stopband

B. Filter delay at nominal frequency in the transition band

C. Filter delay at nominal frequency

D. Filter delay at the nominal frequency in passband

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

16. What is the region between origin and the passband frequency in the magnitude frequency response of a low pass filter?

A. Stopband

B. Passband

C. Transition band

D. None of the mentioned

17. What is the region between stopband and the passband frequencies in the magnitude frequency response of a low pass filter?

A. Stopband

B. Passband

C. Transition band

D. None of the mentioned

18. What is the region after the stopband frequency in the magnitude frequency response of a low pass filter?

A. Stopband

B. Passband

C. Transition band

D. None of the mentioned

19. If δP is the forbidden magnitude value in the passband and δS is the forbidden magnitude value in the stopband, then which of the following is true in the passband region?

A. 1-δS≤|H(jΩ)|≤1

B. δP≤|H(jΩ)|≤1

C. 0≤|H(jΩ)|≤ δS

D. 1-δP≤|H(jΩ)|≤1

20. If δP is the forbidden magnitude value in the passband and δS is the forbidden magnitude value in the stopband, then which of the following is true in the stopband region?

A. 1- δP≤|H(jΩ)|≤1

B. δP≤|H(jΩ)|≤1

C. 0≤|H(jΩ)|≤ δS

D. 1- δP≤|H(jΩ)|≤1

21. What is the value of passband ripple in dB?

A. -20log(1- δP)

B. -20log(δP)

C. 20log(1- δP)

D. None of the mentioned

22. What is the value of stopband ripple in dB?

A. -20log(1-δS)

B. -20log(δS)

C. 20log(1-δS)

D. None of the mentioned

23. What is the passband gain of a low pass filter with 1- δP as the passband attenuation?

A. -20log(1- δP)

B. -20log(δP)

C. 20log(δP)

D. 20log(1- δP)

24. What is the stopband gain of a low pass filter with δS as the passband attenuation?

A. -20log(1- δS)

B. -20log(δS)

C. 20log(δS)

D. 20log(1- δS)

25. What is the cutoff frequency of a normalized filter?

A. 2 rad/sec

B. 1 rad/sec

C. 0.5 rad/sec

D. None of the mentioned