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Discrete-time Fourier transform

Discrete-time Fourier transform. Aperiodic signal. Periodic signal. continuous-time Fourier transform. Discrete-time Fourier transform. Aperiodic signal. Examples. Example #1. Example #2. Example #3. Example #4. Convergence of Fourier transform. Discrete-time.

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Discrete-time Fourier transform

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  1. Discrete-time Fourier transform Aperiodic signal Periodic signal • continuous-time Fourier transform

  2. Discrete-time Fourier transform Aperiodic signal

  3. Examples

  4. Example #1

  5. Example #2

  6. Example #3 Example #4

  7. Convergence of Fourier transform Discrete-time Continuous-time Dirichlet Conditions (1) x(t) absolutely integrable (2) x(t) has finite numbers of maxima and minima within any finite interval. (3) x(t) has finite discontinuities within any finite interval and each of the discontinuities is finite.

  8. Fourier transform of periodical signal Fourier series Fourier transform

  9. Fourier series Fourier transform

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