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) H_{d}(z), H(z)

b) 1/H_{d}(z), 1/H(z)

c) 1/H_{d}(z), H(z)

d) H_{d}(z), 1/H(z)

3. If δ(n) is the input, then what is the ideal output of y_{d}(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) {b_{k}}**b) {a _{k}}**

c) {b

_{k}} & {a

_{k}}

d) None of the mentioned

7. By integrating the error equation with respect to the parameters {a_{k}}, 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 H_{d}(z).**a) True**

b) False

10. In which of the following condition we can use the desired response h_{d}(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) {b _{k}}**

b) {a

_{k}}

c) {b

_{k}} & {a

_{k}}

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