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Test: FIR Filters Windows Design - 2


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10 Questions MCQ Test Signals and Systems | Test: FIR Filters Windows Design - 2

Test: FIR Filters Windows Design - 2 for Electrical Engineering (EE) 2022 is part of Signals and Systems preparation. The Test: FIR Filters Windows Design - 2 questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: FIR Filters Windows Design - 2 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 Windows Design - 2 below.
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Test: FIR Filters Windows Design - 2 - Question 1

What is the peak side lobe(in dB) for a rectangular window?

Detailed Solution for Test: FIR Filters Windows Design - 2 - Question 1

Explanation: The peak side lobe in the case of rectangular window has a value of -13dB.

Test: FIR Filters Windows Design - 2 - Question 2

 What is the peak side lobe(in dB) for a Hanning window?

Detailed Solution for Test: FIR Filters Windows Design - 2 - Question 2

Explanation: The peak side lobe in the case of Hanning window has a value of -32dB.

Test: FIR Filters Windows Design - 2 - Question 3

How does the frequency of oscillations in the pass band of a low pass filter varies with the value of M?

Detailed Solution for Test: FIR Filters Windows Design - 2 - Question 3

Explanation: The frequency of oscillations in the pass band of a low pass filter increases with an increase in the value of M, but they do not diminish in amplitude.

Test: FIR Filters Windows Design - 2 - Question 4

The oscillatory behavior near the band edge of the low pass filter is known as Gibbs phenomenon.

Detailed Solution for Test: FIR Filters Windows Design - 2 - Question 4

Explanation: The multiplication of hd(n) with a rectangular window is identical to truncating the Fourier series representation of the desired filter characteristic Hd(ω). The truncation of Fourier series is known to introduce ripples in the frequency response characteristic H(ω) due to the non-uniform convergence of the Fourier series at a discontinuity. The oscillatory behavior near the band edge of the low pass filter is known as Gibbs phenomenon.

Test: FIR Filters Windows Design - 2 - Question 5

Which of the following window is used in the design of a low pass filter to have a frequency response as shown in the figure?

Detailed Solution for Test: FIR Filters Windows Design - 2 - Question 5

Explanation: The frequency response shown in the figure is the frequency response of a low pass filter designed using a Blackman window of length M=61.

Test: FIR Filters Windows Design - 2 - Question 6

 Which of the following window is used in the design of a low pass filter to have a frequency response as shown in the figure?

Detailed Solution for Test: FIR Filters Windows Design - 2 - Question 6

Explanation: The frequency response shown in the figure is the frequency response of a low pass filter designed using a Kaiser window of length M=61 and α=4.

Test: FIR Filters Windows Design - 2 - Question 7

What is the approximate transition width of main lobe of a Blackman window?

Detailed Solution for Test: FIR Filters Windows Design - 2 - Question 7

Explanation: The transition width of the main lobe in the case of Blackman window is equal to 12π/M where M is the length of the window.

Test: FIR Filters Windows Design - 2 - Question 8

Which of the following windows has a time domain sequence 

Detailed Solution for Test: FIR Filters Windows Design - 2 - Question 8

Explanation: The Hanning window has a time domain sequence as
 , 0≤n≤M-1.

Test: FIR Filters Windows Design - 2 - Question 9

 If the value of M increases then the main lobe in the frequency response of the rectangular window becomes broader.

Detailed Solution for Test: FIR Filters Windows Design - 2 - Question 9

Explanation: Since the width of the main lobe is inversely proportional to the value of M, if the value of M increases then the main lobe becomes narrower.

Test: FIR Filters Windows Design - 2 - Question 10

 The large side lobes of W(ω) results in which of the following undesirable effects?

Detailed Solution for Test: FIR Filters Windows Design - 2 - Question 10

Explanation: The larger side lobes of W(ω) results in the undesirable ringing effects in the FIR filter frequency response H(ω), and also in relatively large side lobes in H(ω).

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