Discrete-Time Fourier Transform of a non-absolutely-summable sequence

Asked Jun 07 '23 at 11:26

Active Jun 07 '23 at 15:42

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The absolute summability of a sequence $x(n)$ is a sufficient---but not necessary---condition for the existence of its Discrete-Time Fourier Transform . Without using distributions, could anybody provide an example of a non-absolutely-summable sequence $x(n)$ for which the DTFT exists?

Thanks in advance!

edited Jun 07 '23 at 15:42

asked Jun 07 '23 at 11:26

CZa

What is the meaning of DTFT ? – LL 3.14 Jun 07 '23 at 15:18
1

DTFT: Discrete-Time Fourier Transform. have edited the post to expand the acronym. – CZa Jun 07 '23 at 15:43

Discrete-Time Fourier Transform of a non-absolutely-summable sequence

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