Dtft

Discrete Fourier Series - Time Index

Discrete Fourier Series - Time Index
  1. What is the difference between DFT and IDFT?
  2. What is CTFT and DTFT?
  3. Why is DTFT used?

What is the difference between DFT and IDFT?

The DFT allows one to convert a set of digital time samples to its frequency domain representation. In contrast, the IDFT can be used to invert the DFT samples, allowing one to reconstruct the signal samples x(k) directly from its frequency domain form, X(m).

What is CTFT and DTFT?

• CTFT (Continuous-Time Fourier Transform): x(t) → X(jΩ) • DTFT (Discrete-Time Fourier Transform): x[n] → X(ejω) • DFT a.k.a. FFT (Discrete Fourier Transform): x[n] → X[k] Forward Transform.

Why is DTFT used?

The DTFT is often used to analyze samples of a continuous function. The term discrete-time refers to the fact that the transform operates on discrete data, often samples whose interval has units of time.

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