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Test: Optimum Equiripple Filter Design - 1


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10 Questions MCQ Test Signals and Systems | Test: Optimum Equiripple Filter Design - 1

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

Which of the following filter design is used in the formulation of design of optimum equi ripple linear phase FIR filter?

Detailed Solution for Test: Optimum Equiripple Filter Design - 1 - Question 1

Explanation: The filter design method described in the design of optimum equi ripple linear phase FIR filters is formulated as a chebyshev approximation problem.

Test: Optimum Equiripple Filter Design - 1 - Question 2

If the filter has anti-symmetric unit sample response with M even, then what is the value of Q(ω)?

Detailed Solution for Test: Optimum Equiripple Filter Design - 1 - Question 2

If the filter has anti-symmetric unit sample response with M even, then what is the value of Q(ω)?
a) cos(ω/2)
b) sin(ω/2)
c) 1
d) sinω

Test: Optimum Equiripple Filter Design - 1 - Question 3

 It is convenient to normalize W(ω) to unity in the stop band and set W(ω)=δ2/ δ1 in the pass band.

Detailed Solution for Test: Optimum Equiripple Filter Design - 1 - Question 3

Explanation: The weighting function on the approximation error allows to choose the relative size of the errors in the different frequency bands. In particular, it is convenient to normalize W(ω) to unity in the stop band and set W(ω)=δ2/ δ1 in the pass band.

Test: Optimum Equiripple Filter Design - 1 - Question 4

Which of the following defines the weighted approximation error?

Detailed Solution for Test: Optimum Equiripple Filter Design - 1 - Question 4

Explanation: The weighted approximation error is defined as E(ω) which is given as
E(ω)= W(ω)[Hdr(ω)- Hr(ω)].

Test: Optimum Equiripple Filter Design - 1 - Question 5

The error function E(ω) does not alternate in sign between two successive extremal frequencies.

Detailed Solution for Test: Optimum Equiripple Filter Design - 1 - Question 5

Explanation: The error function E(ω) alternates in sign between two successive extremal frequency, Hence the theorem is called as Alternative theorem.

Test: Optimum Equiripple Filter Design - 1 - Question 6

At most how many extremal frequencies can be there in the error function of ideal low pass filter?

Detailed Solution for Test: Optimum Equiripple Filter Design - 1 - Question 6

Explanation: We know that we can have at most L-1 local maxima and minima in the open interval 0<ω<π. In addition, ω=0 and π are also usually extrema. It is also maximum at ω for pass band and stop band frequencies. Thus the error function of a low pass filter has at most L+3 extremal frequencies.

Test: Optimum Equiripple Filter Design - 1 - Question 7

 The filter designs that contain more than L+2 alternations are called as:

Detailed Solution for Test: Optimum Equiripple Filter Design - 1 - Question 7

Explanation: In general, the filter designs that contain more than L+2 alternations or ripples are called as Extra ripple filters.

Test: Optimum Equiripple Filter Design - 1 - Question 8

 If M is the length of the filter, then at how many number of points, the error function is computed?

Detailed Solution for Test: Optimum Equiripple Filter Design - 1 - Question 8

Explanation: Having the solution for P(ω), we can now compute the error function E(ω) from
E(ω)= W(ω)[Hdr(ω)- Hr(ω)] on a dense set of frequency points. Usually, a number of points equal to 16M, where M is the length of the filter.

Test: Optimum Equiripple Filter Design - 1 - Question 9

What is the value of JTYPE in the Parks-McClellan program for a Hilbert transformer?

Detailed Solution for Test: Optimum Equiripple Filter Design - 1 - Question 9

Explanation: The value of JTYPE=3 in the Parks-McClellan program to select a filter that performs Hilbert transformer.

Test: Optimum Equiripple Filter Design - 1 - Question 10

In Parks-McClellan program, the grid density for interpolating the error function is denoted by which of the following functions?

Detailed Solution for Test: Optimum Equiripple Filter Design - 1 - Question 10

Explanation: In Parks-McClellan program, LGRID represents the grid density for interpolating the error function. The default value is 16 if left unspecified.

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