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. What is the equation for the frequency ωk in the frequency response of an FIR filter?

A. \(\frac{π}{M}\)(k+α)

B. \(\frac{4π}{M}\)(k+α)

C. \(\frac{8π}{M}\)(k+α)

D. \(\frac{2π}{M}\)(k+α)

13. 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

14. Which of the following filter design is used in the formulation of the design of optimum equi ripple linear phase FIR filter?

A. Butterworth approximation

B. Chebyshev approximation

C. Hamming approximation

D. None of the mentioned

15. If δ2 represents the ripple in the stop band for a chebyshev filter, then which of the following conditions is true?

A. 1-δ2 ≤ Hr(ω) ≤ 1+δ2;|ω|≤ωs

B. 1+δ2 ≤ Hr(ω) ≤ 1-δ2;|ω|≥ωs

C. δ2 ≤ Hr(ω) ≤ δ2;|ω|≤ωs

D. -δ2 ≤ Hr(ω) ≤ δ2;|ω|≥ωs

16. If the filter has an anti-symmetric unit sample response with M even, then what is the value of Q(ω)?

A. cos(ω/2)

B. sin(ω/2)

C. 1

D. sinω

17. It is convenient to normalize W(ω) to unity in the stopband and set W(ω)=δ2/ δ1 in the passband.

A. True

B. False

18. Which of the following defines the weighted approximation error?

A. W(ω)[Hdr(ω)+Hr(ω)]

B. W(ω)[Hdr(ω)-Hr(ω)]

C. W(ω)[Hr(ω)-Hdr(ω)]

D. None of the mentioned

19. The error function E(ω) does not alternate in sign between two successive extremal frequencies.

A. True

B. False

20. At most how many extremal frequencies can be there in the error function of the ideal low pass filter?

A. L+1

B. L+2

C. L+3

D. L

21. The filter designs that contain more than L+2 alternations are called as ______________

A. Extra ripple filters

B. Maximal ripple filters

C. Equi ripple filters

D. None of the mentioned

22. If M is the length of the filter, then at how many the number of points, the error function is computed?

A. 2M

B. 4M

C. 8M

D. 16M

23. If |E(ω)|<δ for some frequencies on the dense set, then a new set of frequencies corresponding to the L+2 largest peaks of |E(ω)| are selected and computation is repeated.

A. True

B. False

24. What is the value of JTYPE in the Parks-McClellan program for a Hilbert transformer?

A. 1

B. 2

C. 3

D. 4

25. In the Parks-McClellan program, the grid density for interpolating the error function is denoted by which of the following functions?

A. NFILT

B. NBANDS

C. EDGE

D. LGRID

26. In the Parks-McClellan program, an array of maximum size 10 that specifies the desired frequency response in each band is denoted by?

A. WTX

B. FX

C. EDGE

D. None of the mentioned