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Which of the following conditions ensures no signal distortion in an LTI system?
Question

Which of the following conditions ensures no signal distortion in an LTI system?

A.

Linear phase response and constant group delay

B.

Non-linear phase response and variable group delay

C.

Linear phase response and variable group delay

D.

Non-linear magnitude response

Correct option is A

For an LTI system to transmit a signal without distortion (i.e., without altering the waveform shape): The magnitude response should be flat (or constant over the signal band), and The phase response should be linear with frequency.A linear phase response implies a constant group delay, meaning: All frequency components of the signal experience the same time delay. The signal is delayed in time but not distorted in shape.\text{For an LTI system to transmit a signal without distortion (i.e., without altering the waveform shape):} \\[8pt]\bullet \ \text{The magnitude response should be flat (or constant over the signal band), and} \\[4pt]\bullet \ \text{The phase response should be linear with frequency.} \\[10pt]\text{A linear phase response implies a constant group delay, meaning:} \\[8pt]\bullet \ \text{All frequency components of the signal experience the same time delay.} \\[4pt]\bullet \ \text{The signal is delayed in time but not distorted in shape.}​​

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