Digital Filters in terms of Frequency and impulse response of ideal low-pass, ideal high-pass, band-pass and band-stop filters using inverse (DTFT) Definition

Abstract

The basic principles of this paper about the four types of digital filters are studied in terms of frequencies and how to find the impulse response of ideal low-pass, ideal high-pass, band-pass, and band-stop filters using the inverse DTFT definition. Moreover, the Matlab program displays the impulse response of the four filter types by plotting the amplitude-frequency response and determining the absolute values of the fast Fourier transform for each filter impulse response. A random signal will be generated as an input to the four filter types, and the amplitude-frequency response of the output will be plotted. A segment was applied as an input to the four filter types, and the output frequency response was plotted.