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Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

(1) 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)
Answer: x(n)+Kx(n-1)
(2) 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] K1K2x(n-1)+K2x(n-2)
[B] x(n)+K1x(n-1)
[C] x(n)+K1K2x(n-1)+K2x(n-2)
[D] x(n)+K1(1+K2)x(n-1)+K2x(n-2)
Answer: x(n)+K1(1+K2)x(n-1)+K2x(n-2)

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(3) What is the value of the coefficient α2(1) in the case of FIR filter represented in direct form structure with m=2 in terms of K1 and K2?
[A] K1(K2)
[B] K1(1-K2)
[C] K1(1+K2)
[D] None of the mentioned
Answer: K1(1+K2)
(4) The constants K1 and K2 of the lattice structure are called as reflection coefficients.
[A] True
[B] False
Answer: True
(5) If a three stage lattice filter with coefficients K1=1/4, K2=1/2 K3=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)
Answer: (1,13/24,5/8,1/3)
(6) 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
Answer: (1/4,1/2,1/3)
(7) If M and N are the orders of numerator and denominator of rational system function respectively, then how many multiplications are required in direct form-I realization of that IIR filter?
[A] M+N-1
[B] M+N
[C] M+N+1
[D] M+N+2
Answer: M+N+1
(8) If M and N are the orders of numerator and denominator of rational system function respectively, then how many additions are required in direct form-I realization of that IIR filter?
[A] M+N-1
[B] M+N
[C] M+N+1
[D] M+N+2
Answer: M+N
(9) If M and N are the orders of numerator and denominator of rational system function respectively, then how many memory locations are required in direct form-I realization of that IIR filter?
[A] M+N+1
[B] M+N
[C] M+N-1
[D] M+N-2
Answer: M+N+1
(10) In direct form-I realization, all-pole system is placed before the all-zero system.
[A] True
[B] False
Answer: False

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