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1000 Digital Signal Processing Processi ng Questions Questions

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Digital Signal Process Processing ing Questions and Answers –  Design of Linear Phase FIR Filters by Frequency Sampling Method

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This set of Digital Signal Processing Multiple Choice Questions & Answers focuses on “Design of Linear Phase FIR Filters by Frequ Fre quency ency Sampling Sampling Method”. 1. In the frequency sampling method for FIR filter design, we we specify the desired frequency response Hd(ω) at a set of equally spaced

frequencies. a) True b) False View Answer 

DTS - Imp lementation lementation

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 Answer:  Answer: a Explanation: In the frequency sampling method,

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processing-questions-

we specify the frequency response Hd(ω) at a

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answers-

set of equally equally spaced spac ed frequencies frequencies,, namely namely

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2. To reduce side lobes, in which region of the filter filter the the frequen frequency cy specification specifications s has to be optimized? a) Stop band b) Pass band c) Transition band d) None of the mentioned View Answer   Answer:  Answer: c

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Digital Signal Processing Multiple Choice Questions and Answers - Sanf...

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reduce the side lobes, it is Best Training Want to Become LinuxExplanation: Developer   To Read More (http://www.sanfoundry.com/salary-50l/ ) desirable to optimize the frequency systems/) specification in the transition band of the filter. DSP - Discrete Time SAN I - Technology Signals This optimization can be accomplished (http://www.sanfoundry.c numerically on a digital computer by means of  (http://www.sanfoundry.c om/san-storagelinear programming techniques. om/digital-signalarea-networks-training/) discrete-time-lti-

processing-questions-

SAN II - Admin

answers-discrete-

3. W hat is the frequency response of a

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time-signals/)

system with input h(n) and window length of M?

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Systems

Linux Fundamentals

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View Answer 

Linux-C Debugging

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

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(http://www.sanfoundry.com /?attachment_id=113454)

internals-systems/) Network Programming

converters/)

4. What is the relation between H(k+α) and

DSP - Signal

h(n)?

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(http://www.sanfoundry.com /?attachment_id=113455)d)

multithreaded-parallel/)

None

of

the

mentioned View Answer   Answer: b Explanation: We know that

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5. Which of the following is the correct

processing-questions-

expression for h(n) in terms of H(k+α)?

Z Transform -

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 Answer: a Explanation: We know that

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z-transform/)

m=0,1,2….M-1 and sum over k=0,1,….M-1, we get the equation

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6. Which of the following is equal to the value of  H(k+α)? a) H*(M-k+α) b) H*(M+k+α) c) H*(M+k-α) d) H*(M-k-α)

View Answer   Answer: d Explanation: Since {h(n)} is real, we can easily show that the frequency samples {H(k+α)}

satisfy the symmetry condition

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7. The linear equations for determining {h(n)}

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from {H(k+α)} are not simplified.

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 Answer: b 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 

answers-properties-

determining

fourier-transform-

considerably simplified.

{h(n)}

from

{H(k+α)}

are

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8. The major advantage of designing linear  phase FIR filter using frequency sampling method lies in the efficient frequency sampling structure. a) True b) False View Answer 

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 Answer: a 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.

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9. Which of the following is introduced in the frequency sampling realization of the FIR filter? a) Poles are more in number on unit circle b) Zeros are more in number on the unit circle c) Poles and zeros at equally spaced points on the unit circle d) None of the mentioned View Answer 

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 Answer: c 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

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a) True b) False View Answer   Answer: a 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.

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

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

12. What is the equation for the frequency ωk

in the frequency response of an FIR filter?

course

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(http://www.sanfoundry.com /?attachment_id=113460) View Answer   Answer: d Explanation: In the frequency sampling method for FIR filter design, we specify the desired frequency response Hd(ω) at a set of equally

spaced frequencies, namely

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13. Why is it desirable to optimize frequency response in the transition band of the filter? a) Increase side lobe b) Reduce side lobe c) Increase main lobe d) None of the mentioned View Answer 

processing-questionsanswers-state-spacesystem-analysisstructures/) Number Representation

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

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(https://www.linkedin.com/company Want to Become Linux Developer    Read More (http://www.sanfoundry.com/salary-50l/ /sanfoundry)  Analog Filter  z-transformation/) Characteristics (http://www.sanfoundry.c om/digital-signalprocessing-aptitudetest/)  Analog Frequency Transforms (http://www.sanfoundry.c om/digital-signalprocessing-problems/) Digital Frequency Transforms (http://www.sanfoundry.c om/basic-digital-signalprocessing-questionsanswers/) Pade A pproximation Method (http://www.sanfoundry.c om/digital-signalprocessing-questionsanswerspade-approximationmethod/) Least Squares Design Methods (http://www.sanfoundry.c om/digital-signalprocessing-questionsanswers-least-squaresdesign-methods/) FIR Least Squares Filters (http://www.sanfoundry.c om/digital-signalprocessing-questionsanswers-fir-leastsquares-inverse-filters/) IIR F requency Filter   Analysis (http://www.sanfoundry.c om/digital-signalprocessing-questionsanswers-designiir-filters-frequencydomain/)  Analog Filters Classification (http://www.sanfoundry.c

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