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DISCRETE-TIME FOURIER TRANSFORM
(DTFT)
Dr Anilkumar KM
MSM College
Kayamkulam
• The Discrete-Time Fourier Transform (DTFT) or, simply, the Fourier transform of a discrete time sequence
x(n) is represented by the complex exponential sequence [e-jωn] where ω is the real frequency variable.
• This transform is useful to map the time-domain sequence into a continuous function of a frequency
variable.
• The DTFT and the z-transform are applicable to any arbitrary sequences, whereas the DFT can be applied
only to finite length sequences.
DTFT
DTFT
DTFT
DTFT
DTFT
DTFT
Thank You

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DTFT

  • 1. DISCRETE-TIME FOURIER TRANSFORM (DTFT) Dr Anilkumar KM MSM College Kayamkulam
  • 2. • The Discrete-Time Fourier Transform (DTFT) or, simply, the Fourier transform of a discrete time sequence x(n) is represented by the complex exponential sequence [e-jωn] where ω is the real frequency variable. • This transform is useful to map the time-domain sequence into a continuous function of a frequency variable. • The DTFT and the z-transform are applicable to any arbitrary sequences, whereas the DFT can be applied only to finite length sequences.