Windowing

DTFT of window function applied to input signal

DTFT of window function applied to input signal
  1. What is DTFT in signal processing?
  2. What does windowing do to a signal?
  3. What is windowing in DFT?
  4. How does windowing affect FFT?

What is DTFT in signal processing?

Digital Signal Processing/Discrete-Time Fourier Transform

The Discrete-Time Fourier Transform (DTFT) is the cornerstone of all DSP, because it tells us that from a discrete set of samples of a continuous function, we can create a periodic summation of that function's Fourier transform.

What does windowing do to a signal?

Windowing changes the shape of the signal in the time domain, as well as affecting the spectrum that you see. The following figure shows convolving the original spectrum of a signal with the spectrum of a smoothing window. Even if you do not apply a smoothing window to a signal, a windowing effect still occurs.

What is windowing in DFT?

Lecture 5 - DFT & Windowing. Page 1. In this lecture, I will be examining the impact of extracting a portion of a signal and find the spectrum of this extracted portion instead of the signal. This process of taking a portion of signal is known as “windowing”.

How does windowing affect FFT?

You can minimize the effects of performing an FFT over a noninteger number of cycles by using a technique called windowing. Windowing reduces the amplitude of the discontinuities at the boundaries of each finite sequence acquired by the digitizer.

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