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Test: Frequency Sampling Method FOR Design


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10 Questions MCQ Test Signals and Systems | Test: Frequency Sampling Method FOR Design

Test: Frequency Sampling Method FOR Design for Electrical Engineering (EE) 2022 is part of Signals and Systems preparation. The Test: Frequency Sampling Method FOR Design questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Frequency Sampling Method FOR Design MCQs are made for Electrical Engineering (EE) 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Frequency Sampling Method FOR Design below.
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Test: Frequency Sampling Method FOR Design - Question 1

In the frequency sampling method for FIR filter design, we specify the desired frequency response Hd(ω) at a set of equally spaced frequencies.

Detailed Solution for Test: Frequency Sampling Method FOR Design - Question 1

Explanation: In the frequency sampling method, we specify the frequency response Hd(ω) at a set of equally spaced frequencies, namely

Test: Frequency Sampling Method FOR Design - Question 2

To reduce side lobes, in which region of the filter the frequency specifications has to be optimized?

Detailed Solution for Test: Frequency Sampling Method FOR Design - Question 2

Explanation: To reduce the side lobes, it is desirable to optimize the frequency specification in the transition band of the filter. This optimization can be accomplished numerically on a digital computer by means of linear programming techniques.

Test: Frequency Sampling Method FOR Design - Question 3

What is the frequency response of a system with input h(n) and window length of M?

Detailed Solution for Test: Frequency Sampling Method FOR Design - Question 3

Explanation: The desired output of an FIR filter with an input h(n) and using a window of length M is given as

Test: Frequency Sampling Method FOR Design - Question 4

Which of the following is equal to the value of H(k+α)?

Detailed Solution for Test: Frequency Sampling Method FOR Design - Question 4

Explanation: Since {h(n)} is real, we can easily show that the frequency samples {H(k+α)} satisfy the symmetry condition
H(k+α)= H*(M-k-α).

Test: Frequency Sampling Method FOR Design - Question 5

The linear equations for determining {h(n)} from {H(k+α)} are not simplified.

Detailed Solution for Test: Frequency Sampling Method FOR Design - Question 5

Explanation: The symmetry condition, along with the symmetry conditions for {h(n)}, can be used to reduce the frequency specifications from M points to (M+1)/2 points for M odd and M/2 for M even. Thus the linear equations for determining {h(n)} from {H(k+α)} are considerably simplified.

Test: Frequency Sampling Method FOR Design - Question 6

The major advantage of designing linear phase FIR filter using frequency sampling method lies in the efficient frequency sampling structure.

Detailed Solution for Test: Frequency Sampling Method FOR Design - Question 6

Explanation: Although the frequency sampling method provides us with another means for designing linear phase FIR filters, its major advantage lies in the efficient frequency sampling structure, which is obtained when most of the frequency samples are zero.

Test: Frequency Sampling Method FOR Design - Question 7

 Which of the following is introduced in the frequency sampling realization of the FIR filter?

Detailed Solution for Test: Frequency Sampling Method FOR Design - Question 7

Explanation: There is a potential problem for frequency sampling realization of the FIR linear phase filter. The frequency sampling realization of the FIR filter introduces poles and zeros at equally spaced points on the unit circle.

Test: Frequency Sampling Method FOR Design - Question 8

In a practical implementation of the frequency sampling realization, quantization effects preclude a perfect cancellation of the poles and zeros.

Detailed Solution for Test: Frequency Sampling Method FOR Design - Question 8

Explanation: In the ideal situation, the zeros cancel the poles and, consequently, the actual zeros of the H(z) are determined by the selection of the frequency samples H(k+α). In a practical implementation of the frequency sampling realization, however, quantization effects preclude a perfect cancellation of the poles and zeros.

Test: Frequency Sampling Method FOR Design - Question 9

 In the frequency sampling method for FIR filter design, we specify the desired frequency response Hd(ω) at a set of equally spaced frequencies.

Detailed Solution for Test: Frequency Sampling Method FOR Design - Question 9

Explanation: According to the frequency sampling method for FIR filter design, the desired frequency response is specified at a set of equally spaced frequencies.

Test: Frequency Sampling Method FOR Design - Question 10

 Why is it desirable to optimize frequency response in the transition band of the filter?

Detailed Solution for Test: Frequency Sampling Method FOR Design - Question 10

Explanation: To reduce side lobes, it is desirable to optimize the frequency specification in the transition band of the filter.

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