Digital Signal Processing

Structures for FIR Systems

Question 1
Marks : +2 | -2
Pass Ratio : 100%
What is the condition of M, if the structure according to the direct form is as follows?
M even
M odd
All values of M
Doesn’t depend on value of M
Explanation:
When the FIR system has linear phase, the unit sample response of the system satisfies either the symmetry or asymmetry condition, h(n)=±h(M-1-n)
Question 2
Marks : +2 | -2
Pass Ratio : 100%
The desired frequency response is specified at a set of equally spaced frequencies defined by the equation?
\\(\\frac{\\pi}{2M}\\)(k+α)
\\(\\frac{\\pi}{M}\\)(k+α)
\\(\\frac{2\\pi}{M}\\)(k+α)
None of the mentioned
Explanation:
To derive the frequency sampling structure, we specify the desired frequency response at a set of equally spaced frequencies, namely ωk=\\(\\frac{2\\pi}{M}\\)(k+α), k=0,1…(M-1)/2 for M odd
Question 3
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 4
Marks : +2 | -2
Pass Ratio : 100%
In general, an FIR system is described by the difference equation y(n)=\\(\\sum_{k=0}^{M-1}b_k x(n-k)\\).
True
False
Explanation:
The difference equation y(n)=\\(\\sum_{k=0}^{M-1}b_k x(n-k)\\) describes the FIR system.
Question 5
Marks : +2 | -2
Pass Ratio : 100%
If we consider a sequence of FIR filer with system function Hm(z)=Am(z), then what is the definition of the polynomial Am(z)?
\\(1+\\sum_{k=0}^m α_m (k)z^{-k}\\)
\\(1+\\sum_{k=1}^m α_m (k)z^{-k}\\)
\\(1+\\sum_{k=1}^m α_m (k)z^k \\)
\\(\\sum_{k=0}^m α_m (k)z^{-k}\\)
Explanation:
Consider a sequence of FIR filer with system function Hm(z)=Am(z), m=0,1,2…M-1
Question 6
Marks : +2 | -2
Pass Ratio : 100%
The constants K1 and K2 of the lattice structure are called as reflection coefficients.
True
False
Explanation:
The equation of the output from the second stage lattice filter is given by
Question 7
Marks : +2 | -2
Pass Ratio : 100%
What is the general system function of an FIR system?
\\(\\sum_{k=0}^{M-1}b_k x(n-k)\\)
\\(\\sum_{k=0}^M b_k z^{-k}\\)
\\(\\sum_{k=0}^{M-1}b_k z^{-k}\\)
None of the mentioned
Explanation:
We know that the difference equation of an FIR system is given by y(n)=\\(\\sum_{k=0}^{M-1}b_k x(n-k)\\).
Question 8
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 9
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 10
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)\\).