Digital Signal Processing

Structures for FIR Systems

Question 1
Marks : +2 | -2
Pass Ratio : 100%
Which of the following is an method for implementing an FIR system?
Direct form
Cascade form
Lattice structure
All of the mentioned
Explanation:
There are several structures for implementing an FIR system, beginning with the simplest structure, called the direct form. There are several other methods like cascade form realization, frequency sampling realization and lattice realization which are used for implementing and FIR system.
Question 2
Marks : +2 | -2
Pass Ratio : 100%
How many memory locations are used for storage of the output point of a sequence of length M in direct form realization?
M+1
M
M-1
None of the mentioned
Explanation:
The direct form realization follows immediately from the non-recursive difference equation given by y(n)=\\(\\sum_{k=0}^{M-1}b_k x(n-k)\\).
Question 3
Marks : +2 | -2
Pass Ratio : 100%
Which of the following is the application of lattice filter?
Digital speech processing
Adaptive filter
Electroencephalogram
All of the mentioned
Explanation:
Lattice filters are used extensively in digital signal processing and in the implementation of adaptive filters.
Question 4
Marks : +2 | -2
Pass Ratio : 100%
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?
(1,8/24,5/8,1/3)
(1,5/8,13/24,1/3)
(1/4,13/24,5/8,1/3)
(1,13/24,5/8,1/3)
Explanation:
We get the output from the third stage lattice filter as
Question 5
Marks : +2 | -2
Pass Ratio : 100%
What is the system function of all-zero filter or comb filter?
\\(\\frac{1}{M}(1+z^{-M} e^{j2πα})\\)
\\(\\frac{1}{M}(1+z^M e^{j2πα})\\)
\\(\\frac{1}{M}(1-z^M e^{j2πα})\\)
\\(\\frac{1}{M}(1-z^{-M} e^{j2πα})\\)
Explanation:
The system function H(z) which is characterized by the set of frequency samples is obtained as
Question 6
Marks : +2 | -2
Pass Ratio : 100%
What is the output from the second stage lattice filter when two single stage lattice filers are cascaded with an input of x(n)?
K1K2x(n-1)+K2x(n-2)
x(n)+K1x(n-1)
x(n)+K1K2x(n-1)+K2x(n-2)
x(n)+K1(1+K2)x(n-1)+K2x(n-2)
Explanation:
When two single stage lattice filters are cascaded, then the output from the first filter is given by the equation
Question 7
Marks : +2 | -2
Pass Ratio : 100%
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?
K1(K2)
K1(1-K2)
K1(1+K2)
None of the mentioned
Explanation:
The equation for the output of an FIR filter represented in the direct form structure is given as
Question 8
Marks : +2 | -2
Pass Ratio : 100%
The direct form realization is often called a transversal or tapped-delay-line filter.
True
False
Explanation:
The structure of the direct form realization, resembles a tapped delay line or a transversal system.
Question 9
Marks : +2 | -2
Pass Ratio : 100%
What is the output of the single stage lattice filter if x(n) is the input?
x(n)+Kx(n+1)
x(n)+Kx(n-1)
x(n)+Kx(n-1)+Kx(n+1)
Kx(n-1)
Explanation:
The single stage lattice filter is as shown below.
Question 10
Marks : +2 | -2
Pass Ratio : 100%
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?
(1/2,1/4,1/3)
(1,1/2,1/3)
(1/4,1/2,1/3)
None of the mentioned
Explanation:
Given the system function of the FIR filter is