Closed-Form Output Response of Discrete-Time Linear Time-Invariant Systems Using Intermediate Auxiliary Functions [Lecture Notes]
Journal
IEEE Signal Processing Magazine
Journal Volume
37
Journal Issue
5
Pages
140-145
Date Issued
2020
Author(s)
Abstract
Linear time-invariant (LTI) systems find ubiquitous applications in digital signal processing [1], image processing [2], communication [3], and array processing [4], to name a few. An LTI system can be characterized by its impulse response, which is defined as the output response to an impulse input. For an arbitrary input signal, the output signal of an LTI system is obtained by the convolution of the input signal with the impulse response. This property is closely related to transform-based methods in signal processing, such as discrete-time Fourier transforms, z-transforms, and discrete Fourier transforms. Interested readers are referred to [1] and the references therein. © 1991-2012 IEEE.
Other Subjects
Array processing; Digital signal processing; Image communication systems; Image processing; Impulse response; Invariance; Linear systems; Time varying control systems; Z transforms; Arbitrary inputs; Auxiliary functions; Discrete time Fourier transform; Discrete-time linear time-invariant systems; Linear time-invariant system; Output response; Transform-based methods; Ubiquitous application; Discrete Fourier transforms
Type
journal article