# Pade Approximation Method

This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “Pade Approximation Method”.

1. Which of the following techniques of designing IIR filters do not involve the conversion of an analog filter into digital filter?
a) Bilinear transformation
b) Impulse invariance
c) Approximation of derivatives
d) None of the mentioned

2. Using which of the following methods, a digital IIR filter can be directly designed?
a) Pade approximation
b) Least square design in time domain
c) Least square design in frequency domain
d) All of the mentioned

3. What is the number of parameters that a filter consists of?
a) M+N+1
b) M+N
c) M+N-1
d) M+N-2

4. The minimization of ε involves the solution of a set of non-linear equations.
a) True
b) False

5. What should be the upper limit of the solution to match h(n) perfectly to the desired response hd(n)?
a) L
b) L+1
c) L-1
d) L+2

6. For how many values of the impulse response, a perfect match is present between h(n) and hd(n)?
a) L
b) M+N+1
c) 2L-M-N-1
d) All of the mentioned

7. The degree to which the design technique produces acceptable filter designs depends in part on the number of filter coefficients selected.
a) True
b) False

8. According to this method of designing, the filter should have which of the following in large number?
a) Only poles
b) Both poles and zeros
c) Only zeros
d) None of the mentioned

9. Which of the following conditions are in the favor of Pade approximation method?
a) Desired system function is rational
b) Prior knowledge of the number of poles and zeros
c) Desired system function is rational & Prior knowledge of the number of poles and zeros
d) None of the mentioned

10. Which of the following filters will have an impulse response as shown in the below figure?

a) Butterworth filters
b) Type-I chebyshev filter
c) Type-II chebyshev filter
d) None of the mentioned

11. For what number of zeros, the approximation is poor?
a) 3
b) 4
c) 5
d) 6

12. Which of the following pairs of M and N will give a perfect match?
a) 3,6
b) 3,4
c) 3,5
d) 4,5

13. Which of the following filters will have an impulse response as shown in the below figure?

a) Butterworth filters
b) Type-I chebyshev filter
c) Type-II chebyshev filter
d) None of the mentioned