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Digital Signal Processing
Digital Signal Processing
Least Squares Design Methods
Question 1
Marks :
+2
|
-2
Pass Ratio :
100%
The least squares method can also be used in a pole-zero approximation for Hd(z).
True
False
Explanation:
We know that we can perform pole-zero approximation for Hd(z) by using the least squares method.
Question 2
Marks :
+2
|
-2
Pass Ratio :
100%
By integrating the error equation with respect to the parameters {ak}, we obtain set of linear equations.
True
False
Explanation:
By differentiating the square of the error sequence with respect to the parameters {ak}, it is easily established that we obtain the set of linear equations.
Question 3
Marks :
+2
|
-2
Pass Ratio :
100%
If δ(n) is the input, then what is the ideal output of yd(n)?
δ(n)
0
u(n)
None of the mentioned
Explanation:
We excite the cascade configuration by the unit sample sequence δ(n). Thus the input to the inverse system 1/H(z) is hd(n) and the output is y(n). Ideally, yd(n)= δ(n).
Question 4
Marks :
+2
|
-2
Pass Ratio :
100%
Which of the following are cascaded in this method?
Hd(z), H(z)
1/Hd(z), 1/H(z)
1/Hd(z), H(z)
Hd(z), 1/H(z)
Explanation:
In this method, we consider the cascade connection of the desired filter Hd(z) with the reciprocal, all zero filter 1/H(z).
Question 5
Marks :
+2
|
-2
Pass Ratio :
100%
What should be the value of y(n) at n=0?
0
-1
1
None of the mentioned
Explanation:
The condition that yd(0)=y(0)=1 is satisfied by selecting b0=hd(0).
Question 6
Marks :
+2
|
-2
Pass Ratio :
100%
In which of the following condition we can use the desired response hd(n)?
n < M
n=M
n > M
none of the mentioned
Explanation:
Nevertheless, we can use the desired response hd(n) for n < M to construct an estimate of hd(n).
Question 7
Marks :
+2
|
-2
Pass Ratio :
100%
Which of the following parameters are selected to minimize the sum of squares of the error sequence?
{bk}
{ak}
{bk} & {ak}
None of the mentioned
Explanation:
The parameters {ak} are selected to minimize the sum of squares of the error sequence.
Question 8
Marks :
+2
|
-2
Pass Ratio :
100%
Which of the following filter we use in least square design methods?
All zero
All pole
Pole-zero
Any of the mentioned
Explanation:
Let us assume that hd(n) is specified for n > 0, and the digital filter is an all-pole filter.
Question 9
Marks :
+2
|
-2
Pass Ratio :
100%
Which of the following operation is done on the sequence in least square design method?
Convolution
DFT
Circular convolution
Correlation
Explanation:
In a practical design problem, the desired impulse response hd(n) is specified for a finite set of points, say 0 < n <L where L ≫ N. In such a case, the correlation sequence can be computed from the finite sequence hd(n).
Question 10
Marks :
+2
|
-2
Pass Ratio :
100%
The error between the desired output and actual output is represented by y(n).
True
False
Explanation:
For n > 0, y(n) represents the error between the desired output yd(n)=0 and the actual output.
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