Why is $y(n)=x(n)-x(n−1)+x(n-2)$ a low-pass filter?

1. What is low-pass filter in Matlab?
2. What is low-pass signal?
3. How to set cut off frequency of low-pass filter in matlab?

What is low-pass filter in Matlab?

A low-pass filter is a filter that allows signals below a cutoff frequency (known as the passband) and attenuates signals above the cutoff frequency (known as the stopband).

What is low-pass signal?

A low-pass filter (LPF) is a circuit that only passes signals below its cutoff frequency while attenuating all signals above it. It is the complement of a high-pass filter, which only passes signals above its cutoff frequency and attenuates all signals below it.

How to set cut off frequency of low-pass filter in matlab?

Lowpass Filtering of Tones

fs = 1e3; t = 0:1/fs:1; x = [1 2]*sin(2*pi*[50 250]'. *t) + randn(size(t))/10; Lowpass-filter the signal to remove the high-frequency tone. Specify a passband frequency of 150 Hz.