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 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
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Which of the following is introduced in the frequency sampling realiza...
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.
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Which of the following is introduced in the frequency sampling realiza...
Frequency Sampling Realization of FIR Filter

The frequency sampling realization of the FIR filter is a method to design a linear phase FIR filter using desired frequency response. This method is based on sampling the desired frequency response and finding the coefficients of the FIR filter that match these samples.

Introduction in Frequency Sampling Realization

In the frequency sampling realization of the FIR filter, both poles and zeros are at equally spaced points on the unit circle.

Explanation

The frequency sampling method involves sampling the desired frequency response at equally spaced points on the unit circle. The sampled values represent the magnitude of the frequency response at these points. These samples are then used to determine the coefficients of the FIR filter.

To determine the coefficients, the inverse discrete Fourier transform (IDFT) of the sampled frequency response is calculated. The resulting time-domain sequence represents the coefficients of the FIR filter.

Since the frequency response is sampled at equally spaced points on the unit circle, the poles and zeros of the FIR filter are also at these points. Therefore, both poles and zeros are at equally spaced points on the unit circle in the frequency sampling realization of the FIR filter.

Conclusion

In conclusion, the frequency sampling realization of the FIR filter introduces both poles and zeros at equally spaced points on the unit circle. This method is useful for designing linear phase FIR filters to meet specific frequency response requirements.
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Which of the following is introduced in the frequency sampling realization of the FIR filter?a)Poles are more in number on unit circleb)Zeros are more in number on the unit circlec)Poles and zeros at equally spaced points on the unit circled)None of the mentionedCorrect answer is option 'C'. Can you explain this answer?
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Which of the following is introduced in the frequency sampling realization of the FIR filter?a)Poles are more in number on unit circleb)Zeros are more in number on the unit circlec)Poles and zeros at equally spaced points on the unit circled)None of the mentionedCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Which of the following is introduced in the frequency sampling realization of the FIR filter?a)Poles are more in number on unit circleb)Zeros are more in number on the unit circlec)Poles and zeros at equally spaced points on the unit circled)None of the mentionedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is introduced in the frequency sampling realization of the FIR filter?a)Poles are more in number on unit circleb)Zeros are more in number on the unit circlec)Poles and zeros at equally spaced points on the unit circled)None of the mentionedCorrect answer is option 'C'. Can you explain this answer?.
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