This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “FIR System Structures 1″.

1. What is the system function of the second filter other than comb filter in the realization of FIR filter?

a) ∑Mk=0H(k+α)1−ej2π(k+α)Mz−1

b) ∑M−1k=0H(k+α)1+ej2π(k+α)Mz−1

c) ∑M−1k=0H(k+α)1−ej2π(k+α)Mz−1

d) None of the mentioned

2. The direct form realization is often called a transversal or tapped-delay-line filter.

a) True

b) False

3. What is the general system function of an FIR system?

a) ∑M−1k=0bkx(n−k)

b) ∑Mk=0bkz−k

c) ∑M−1k=0bkz−k

d) None of the mentioned

4. Which of the following is a method for implementing an FIR system?

a) Direct form

b) Cascade form

c) Lattice structure

d) All of the mentioned

5. By combining two pairs of poles to form a fourth order filter section, by what factor we have reduced the number of multiplications?

a) 25%

b) 30%

c) 40%

d) 50%

6. In general, an FIR system is described by the difference equation y(n)=∑M−1k=0bkx(n−k).

a) True

b) False

7. Which of the following filters have a cascade realization as shown below?

a) IIR filter

b) Comb filter

c) High pass filter

d) FIR filter

8. The realization of FIR filter by frequency sampling realization can be viewed as cascade of how many filters?

a) Two

b) Three

c) Four

d) None of the mentioned

9. The desired frequency response is specified at a set of equally spaced frequencies defined by the equation?

a) π2M(k+α)

b) πM(k+α)

c) 2πM(k+α)

d) None of the mentioned

10. How many memory locations are used for storage of the output point of a sequence of length M indirect form realization?

a) M+1

b) M

c) M-1

d) None of the mentioned

11. When the desired frequency response characteristic of the FIR filter is narrowband, most of the gain parameters {H(k+α)} are zero.

a) True

b) False

12. The zeros of the system function of comb filter are located at ______________

a) Inside unit circle

b) On unit circle

c) Outside unit circle

d) None of the mentioned

13. Where does the poles of the system function of the second filter locate?

a) e^{j2π(k+α)M}

b) e^{j2π(k+α)/M}

c) e^{j2π(k-α)/M}

d) e^{jπ(k+α)/M}

14. What is the system function of all-zero filter or comb filter?

a) 1M(1+z−Mej2πα)

b) 1M(1+zMej2πα)

c) 1M(1−zMej2πα)

d) 1M(1−z−Mej2πα)

15. What is the condition of M, if the structure according to the direct form is as follows?

a) M even

b) M odd

c) All values of M

d) Doesn’t depend on value of M