Topic
Z-transform
About: Z-transform is a research topic. Over the lifetime, 484 publications have been published within this topic receiving 9163 citations. The topic is also known as: unilateral Z transform & Z transform.
Papers published on a yearly basis
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Papers
TL;DR: This paper extends to signals on graphs DSP and its basic tenets, including filters, convolution, z-transform, impulse response, spectral representation, Fourier transform, frequency response, and illustrates DSP on graphs by classifying blogs, linear predicting and compressing data from irregularly located weather stations, or predicting behavior of customers of a mobile service provider.
Abstract: In social settings, individuals interact through webs of relationships. Each individual is a node in a complex network (or graph) of interdependencies and generates data, lots of data. We label the data by its source, or formally stated, we index the data by the nodes of the graph. The resulting signals (data indexed by the nodes) are far removed from time or image signals indexed by well ordered time samples or pixels. DSP, discrete signal processing, provides a comprehensive, elegant, and efficient methodology to describe, represent, transform, analyze, process, or synthesize these well ordered time or image signals. This paper extends to signals on graphs DSP and its basic tenets, including filters, convolution, z-transform, impulse response, spectral representation, Fourier transform, frequency response, and illustrates DSP on graphs by classifying blogs, linear predicting and compressing data from irregularly located weather stations, or predicting behavior of customers of a mobile service provider.
1,714 citations
Book•
27 Mar 1996
TL;DR: In this paper, the authors introduce the Fourier Transform Power Series Solutions of Ordinary Differential Equations (PSSOS) and Power Series Solution of ODEs (PSE) for the Z Transform.
Abstract: Hints on Using the Book Useful Background Information Numerical Solutions of Equations and Interpolation Laplace Transforms Part 1 Laplace Transforms Part 2 Laplace Transforms Part 3 Difference equations and the Z Transform Introduction to invariant linear systems Fourier Series 1 Fourier Series 2 Introduction to the Fourier Transform Power Series Solutions of Ordinary Differential Equations 1 Power Series Solutions of Ordinary Differential Equations 2 Power Series Solutions of Ordinary Differential Equations 3 Numerical Solutions of Ordinary Differential Equations Partial Differentiation Partial Differential Equations Matrix Algebra Systems of ordinary differential equations Numerical Solutions of Partial Differential Equations Multiple Integration Part 1 Multiple Integration Part 2 Integral Functions Vector Analysis Part 1 Vector Analysis Part 2 Vector Analysis Part 3 Complex Analysis Part 1 Complex Analysis Part 2 Complex Analysis Part 3 Optimization and Linear Programming
926 citations
780 citations
1 Jan 1979
TL;DR: A tutorial-review paper on discrete orthogonal transforms and their applications in digital signal and image (both monochrome and color) processing is presented.
774 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2024 | 1 |
| 2023 | 4 |
| 2022 | 2 |
| 2021 | 9 |
| 2020 | 6 |
| 2019 | 4 |