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Discrete-time Fourier Transform
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Discrete-time Fourier Transform. Prof. Siripong Potisuk. Derivation of the Discrete-time Fourier Transform. Recall DTFS pair. where. Thus,. Periodic in w with period 2 p. The limit of integration is over any interval of 2 p in w. DTFT Pair. Conditions for Convergence . Examples. IDTFT.
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Discrete-time Fourier Transform
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Discrete-time Fourier Transform Prof. Siripong Potisuk
Recall DTFS pair where
Thus, Periodic inw with period 2p The limit of integration is over any interval of2p inw
DTFT of Periodic Signals Recall the following DTFT pair: Represent periodic signal x[n]in terms of DTFS:
Example: A discrete-time Periodic Impulse Train The DTFS coefficients for this signal are: ck
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