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Test: FIR Filters Design


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10 Questions MCQ Test Signals and Systems | Test: FIR Filters Design

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

The lower and upper limits on the convolution sum reflect the causality and finite duration characteristics of the filter.

Detailed Solution for Test: FIR Filters Design - Question 1

Explanation: We can express the output sequence as the convolution of the unit sample response h(n) of the system with the input signal. The lower and upper limits on the convolution sum reflect the causality and finite duration characteristics of the filter.

Test: FIR Filters Design - Question 2

Which of the following condition should the unit sample response of a FIR filter satisfy to have a linear phase?

Detailed Solution for Test: FIR Filters Design - Question 2

Explanation: An FIR filter has an linear phase if its unit sample response satisfies the condition
h(n)= ±h(M-1-n) n=0,1,2…M-1.

Test: FIR Filters Design - Question 3

The roots of the equation H(z) must occur in:

Detailed Solution for Test: FIR Filters Design - Question 3

Explanation: We know that the roots of the polynomial H(z) are identical to the roots of the polynomial H(z -1). Consequently, the roots of H(z) must occur in reciprocal pairs.

Test: FIR Filters Design - Question 4

 If the unit sample response h(n) of the filter is real, complex valued roots need not occur in complex conjugate pairs.

Detailed Solution for Test: FIR Filters Design - Question 4

Explanation: We know that the roots of the polynomial H(z) are identical to the roots of the polynomial H(z -1). This implies that if the unit sample response h(n) of the filter is real, complex valued roots must occur in complex conjugate pairs.

Test: FIR Filters Design - Question 5

What is the value of h(M-1/2) if the unit sample response is anti-symmetric?

Detailed Solution for Test: FIR Filters Design - Question 5

Explanation: When h(n)=-h(M-1-n), the unit sample response is anti-symmetric. For M odd, the center point of the anti-symmetric is n=M-1/2. Consequently, h(M-1/2)=0.

Test: FIR Filters Design - Question 6

What is the number of filter coefficients that specify the frequency response for h(n) symmetric?

Detailed Solution for Test: FIR Filters Design - Question 6

Explanation: We know that, for a symmetric h(n), the number of filter coefficients that specify the frequency response is (M+1)/2 when M is odd and M/2 when M is even.

Test: FIR Filters Design - Question 7

 What is the number of filter coefficients that specify the frequency response for h(n) anti-symmetric?

Detailed Solution for Test: FIR Filters Design - Question 7

Explanation: We know that, for a anti-symmetric h(n) h(M-1/2)=0 and thus the number of filter coefficients that specify the frequency response is (M-1)/2 when M is odd and M/2 when M is even.

Test: FIR Filters Design - Question 8

 Which of the following is not suitable either as low pass or a high pass filter?

Detailed Solution for Test: FIR Filters Design - Question 8

Explanation: If h(n)=-h(M-1-n) and M is odd, we get H(0)=0 and H(π)=0. Consequently, this is not suitable as either a low pass filter or a high pass filter.

Test: FIR Filters Design - Question 9

The anti-symmetric condition with M even is not used in the design of which of the following linear-phase FIR filter?

Detailed Solution for Test: FIR Filters Design - Question 9

Explanation: When h(n)=-h(M-1-n) and M is even, we know that H(0)=0. Thus it is not used in the design of a low pass linear phase FIR filter.

Test: FIR Filters Design - Question 10

 The anti-symmetric condition is not used in the design of low pass linear phase FIR filter.

Detailed Solution for Test: FIR Filters Design - Question 10

Explanation: We know that if h(n)=-h(M-1-n) and M is odd, we get H(0)=0 and H(π)=0. Consequently, this is not suitable as either a low pass filter or a high pass filter and when h(n)=-h(M-1-n) and M is even, we know that H(0)=0. Thus it is not used in the design of a low pass linear phase FIR filter. Thus the anti-symmetric condition is not used in the design of low pass linear phase FIR filter.

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