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Questions
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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