# Optimum Equi Ripple Filter Design 1 MCQ’s

This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “Optimum Equi Ripple Filter Design 1″.

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

a) True

b) False

2. 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

3. It is convenient to normalize W(ω) to unity in the stop band and set W(ω)=δ_{2}/ δ_{1} in the pass band.

a) True

b) False

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

a) L+1

b) L+2

c) L+3

d) L

5. In 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

6. If δ_{2} represents the ripple in the stop band for a chebyshev filter, then which of the following conditions is true?

a) 1-δ_{2} ≤ H_{r}(ω) ≤ 1+δ_{2};|ω|≤ω_{s}

b) 1+δ_{2} ≤ H_{r}(ω) ≤ 1-δ_{2};|ω|≥ω_{s}

c) δ_{2} ≤ H_{r}(ω) ≤ δ_{2};|ω|≤ω_{s}

d) -δ_{2} ≤ H_{r}(ω) ≤ δ_{2};|ω|≥ω_{s}

7. In 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

8. If the filter has 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

9. 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

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

a) 2M

b) 4M

c) 8M

d) 16M

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

a) Butterworth approximation

b) Chebyshev approximation

c) Hamming approximation

d) None of the mentioned

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

a) 1

b) 2

c) 3

d) 4

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

a) W(ω)[H_{dr}(ω)+H_{r}(ω)]b) W(ω)[H_{dr}(ω)-H_{r}(ω)]

c) W(ω)[H_{r}(ω)-H_{dr}(ω)]d) None of the mentioned