# FIR System Structures 2 MCQ’s

This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on “FIR System Structures 2″.

1. What is the value of the coefficient α_{2}(1) in the case of the FIR filter represented indirect form structure with m=2 in terms of K_{1} and K_{2}?

a) K_{1}(K_{2})

b) K_{1}(1-K_{2})

c) K_{1}(1+K_{2})

d) None of the mentioned

2. The FIR filter whose direct form structure is as shown below is a prediction error filter.

a) True

b) False

3. What are the lattice coefficients corresponding to the FIR filter with system function H(z)= 1+(13/24)z^{-1}+(5/8)z^{-2}+(1/3)z^{-3}?

a) (1/2,1/4,1/3)

b) (1,1/2,1/3)

c) (1/4,1/2,1/3)

d) None of the mentioned

4. If we consider a sequence of FIR filer with system function H_{m}(z)=A_{m}(z), then what is the definition of the polynomial A_{m}(z)?

a) 1+∑mk=0αm(k)z−k

b) 1+∑mk=1αm(k)z−k

c) 1+∑mk=1αm(k)zk

d) ∑mk=0αm(k)z−k

5. What is the output of the single stage lattice filter if x(n) is the input?

a) x(n)+Kx(n+1)

b) x(n)+Kx(n-1)

c) x(n)+Kx(n-1)+Kx(n+1)

d) Kx(n-1)

6. What is the output from the second stage lattice filter when two single stage lattice filers are cascaded with an input of x(n)?

a) K_{1}K_{2}x(n-1)+K_{2}x(n-2)

b) x(n)+K_{1}x(n-1)

c) x(n)+K_{1}K_{2}x(n-1)+K_{2}x(n-2)

d) x(n)+K_{1}(1+K_{2})x(n-1)+K_{2}x(n-2)

7. If a three stage lattice filter with coefficients K_{1}=1/4, K_{2}=1/2 K_{3}=1/3, then what are the FIR filter coefficients for the direct form structure?

a) (1,8/24,5/8,1/3)

b) (1,5/8,13/24,1/3)

c) (1/4,13/24,5/8,1/3)

d) (1,13/24,5/8,1/3)

8. Which of the following is the application of lattice filter?

a) Digital speech processing

b) Adaptive filter

c) Electroencephalogram

d) All of the mentioned

9. What is the unit sample response of the m^{th} filter?

a) h_{m}(0)=0 and h_{m}(k)=αm(k), k=1,2…m

b) h_{m}(k)=αm(k), k=0,1,2…m(αm(0)≠1)

c) h_{m}(0)=1 and h_{m}(k)=αm(k), k=1,2…m

d) none of the mentioned

10. The constants K_{1} and K_{2} of the lattice structure are called as reflection coefficients.

a) True

b) False