The Discrete-Time Fourier Transform (DTFT) maps a discrete time sequence into a continuous function of frequency, represented by the complex exponential sequence [e-jωn] where ω is the real frequency variable. The DTFT and z-transform can be applied to arbitrary sequences, unlike the discrete Fourier transform (DFT) which can only be used on finite length sequences. The DTFT is useful for transforming a signal from the time domain to the frequency domain.

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.

9. Thank You