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The magnitude and phase function’s for a Distortionless filter should respectively be
(Magnitude) (Phase)
(A) Linear Constant
(B) Constant Constant
(C) Constant Linear
(D) Linear Linear
  • a)
    (A)
  • b)
    (B)
  • c)
    (C)
  • d)
    (D)
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The magnitude and phase function’s for a Distortionless filter should...
For distortionless transform
Magnitude of H (f) = constant
And angle of H (f) = -kf, where k is a constant
H (f) is the transfer function.
So the magnitude function of a distortionless filter should be constant
The phase function of a distortionless filter should be linear.
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Community Answer
The magnitude and phase function’s for a Distortionless filter should...
Distortionless Filter Characteristics:
Distortionless filters are designed to have a linear magnitude response and a linear phase response.

Magnitude Function:
- The magnitude response of a distortionless filter should be linear, meaning that the output amplitude is directly proportional to the input amplitude over a wide range of frequencies.
- A linear magnitude response ensures that all frequency components of the input signal are passed through the filter without distortion.

Phase Function:
- The phase response of a distortionless filter should be linear as well, meaning that the phase shift introduced by the filter is constant across all frequencies.
- A constant phase shift ensures that the temporal relationship between different frequency components of the input signal is preserved, without introducing any distortions in the time domain.
Therefore, for a distortionless filter, the magnitude and phase functions should be linear, which corresponds to option D.
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