1. Wiener filter is an FIR least-squares inverse filter.

A. True

B. False

2. If h(n) is the impulse response of an LTI system and h_{I}(n) is the impulse response of the inverse LTI system, then which of the following is true?

A. h(n).h_{I}(n)=1

B. h(n).h_{I}(n)=δ(n)

C. h(n)*h_{I}(n)=1

D. h(n)*h_{I}(n)=δ(n)

3. If H(z) is the system function of an LTI system and H_{I}(z) is the system function of the inverse LTI system, then which of the following is true?

A. H(z)*H_{I}(z)=1

B. H(z)*H_{I}(z)=δ(n)

C. H(z).H_{I}(z)=1

D. H(z).H_{I}(z)=δ(n)

4. It is not desirable to restrict the inverse filter to FIR.

A. True

B. False

5. Which of the following method is used to restrict the inverse filter to be FIR?

A. Truncating h_{I}(n)

B. Expanding h_{I}(n)

C. Truncating H_{I}(z)

D. None of the mentioned

6. What should be the length of the truncated filter?

A. M

B. M-1

C. M+1

D. Infinite

7. Which of the following criterion can be used to optimize the M+1 filter coefficients?

A. Pade approximation method

B. Least squares error criterion

C. Least squares error criterion & Pade approximation method

D. None of the mentioned

8. Which of the following filters have a block diagram as shown in the figure?

A. Pade wiener filter

B. Pade FIR filter

C. Least squares FIR filter

D. Least squares wiener filter

9. The autocorrelation of the sequence is required to minimize ε.

A. True

B. False

10. Which of the following are required to minimize the value of ε?

A. r_{hh}(l)

B. r_{dh}(l)

C. d(n)

D. all of the mentioned

11. FIR filter that satisfies \(\sum_{k=0}^M b_k r_{hh} (k-l)=r_{dh} (l)\), l=0,1,…M is known as wiener filter.

A. True

B. False

12. What should be the desired response for an optimum wiener filter to be an approximate inverse filter?

A. u(n)

B. δ(n)

C. u(-n)

D. none of the mentioned

13. If the set of linear equations from the equation \(\sum_{k=0}^M b_k r_{hh} (k-l)=r_{dh} (l)\), l=0,1,…M are expressed in matrix form, then what is the type of matrix obtained?

A. Symmetric matrix

B. Skew symmetric matrix

C. Toeplitz matrix

D. Triangular matrix

14. What is the number of computations proportional to, in the Levinson-Durbin algorithm?

A. M

B. M^{2}

C. M^{3}

D. M^{1/2}

15. 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

16. 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

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

A. True

B. False

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

A. dϴ(ω)/dω

B. ϴ(ω)

C. -dϴ(ω)/dω

D. -ϴ(ω)

19. 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

20. 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

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

A. True

B. False

22. 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

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

A. True

B. False

24. 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

25. 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

26. 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

27. 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

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

A. True

B. False

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

A. True

B. False