Sinc

Sinc cutoff frequency

Sinc cutoff frequency
  1. What is the Fourier transform of sinc?
  2. Is sinc a low-pass filter?
  3. What is cutoff frequency in signal processing?

What is the Fourier transform of sinc?

The Fourier transform of the sinc function is a rectangle centered on ω = 0. This gives sinc(x) a special place in the realm of signal processing, because a rectangular shape in the frequency domain is the idealized “brick-wall” filter response.

Is sinc a low-pass filter?

A sinc filter is essentially a low-pass filter that converts the input SD modulated bitstream into high resolution digital data by digital filtering and decimation. In this slide, I've shown the z transform of n-th order sinc filter and its simplified block diagram.

What is cutoff frequency in signal processing?

The cutoff frequency, or cutoff, determines where the signal is cut off. Simpler synthesizers have only lowpass filters. If a signal contains frequencies that range from 20 to 4000 Hz and the cutoff frequency is set at 2500 Hz, frequencies above 2500 Hz are filtered.

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