Least Squares Design Methods

Digital Communications Systems

This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “Least Squares Design Methods”.

1. Which of the following filter we use in least square design methods?
a) All zero
b) All pole
c) Pole-zero
d) Any of the mentioned

2. Which of the following are cascaded in this method?
a) Hd(z), H(z)
b) 1/Hd(z), 1/H(z)
c) 1/Hd(z), H(z)
d) Hd(z), 1/H(z)

3. If δ(n) is the input, then what is the ideal output of yd(n)?
a) δ(n)
b) 0
c) u(n)
d) None of the mentioned
.

4. What should be the value of y(n) at n=0?
a) 0
b) -1
c) 1
d) None of the mentioned

5. The error between the desired output and actual output is represented by y(n).
a) True
b) False

6. Which of the following parameters are selected to minimize the sum of squares of the error sequence?
a) {bk}
b) {ak}
c) {bk} & {ak}
d) None of the mentioned

7. By integrating the error equation with respect to the parameters {ak}, we obtain set of linear equations.
a) True
b) False

8. Which of the following operation is done on the sequence in least square design method?
a) Convolution
b) DFT
c) Circular convolution
d) Correlation

9. The least squares method can also be used in a pole-zero approximation for Hd(z).
a) True
b) False

10. In which of the following condition we can use the desired response hd(n)?
a) n < M
b) n=M
c) n > M
d) none of the mentioned
.

11. Which of the following parameters are used to determine zeros of the filter?
a) {bk}
b) {ak}
c) {bk} & {ak}
d) None of the mentioned

12. The foregoing approach for determining the poles and zeros of H(z) is sometimes called Prony’s method.
a) True
b) False

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