Topic
Discrete-time Fourier transform
About: Discrete-time Fourier transform is a research topic. Over the lifetime, 5072 publications have been published within this topic receiving 144643 citations. The topic is also known as: DTFT.
Papers published on a yearly basis
Papers
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TL;DR: A new algorithm for the tensor representation of the QDFT that is structurally simpler and uses less multiplications than its predecessors is presented, expected to improve upon existing image processing and recognition systems.
21 citations
TL;DR: First, the digital spectra (the discrete time Fourier transform) of nonuniformly sampled two-dimensional signals are derived analytically, and a technique to estimate the sampling offsets is developed.
Abstract: Theory and applications of nonuniformly sampled one-dimensional signals have been well studied and published . In this paper, we extend that theory to the two-dimensional case. First, the digital spectra (the discrete time Fourier transform) of nonuniformly sampled two-dimensional signals are derived analytically. Based on the result of the analysis, we develop a technique to estimate the sampling offsets. Then we present an algorithm to reconstruct the original spectrum from the nonuniformly sampled data. Examples are presented to show that these algorithms are accurate and effective.
21 citations
Book•
01 Jul 1998TL;DR: This book discusses the Steady State Response of Analogue Networks to Sinusoids and to the complex exponential EJWT, and an Introduction to Digital Networks and the Z-Transform.
Abstract: 1. Getting Started in Matlab and an Introduction to Systems and Signal Processing. 2. Impulse Functions, Impulse Responses, and Convolution. 3. The Steady State Response of Analogue Networks to Sinusoids and to the complex exponential EJWT. 4. Phasors. 5. Line Spectra and the Fourier Series. 6. Spectral Density Functions and the Fourier Transform. 7 The Sampling and Digitization of Signals. 8. The Discrete Fourier Transform. 9. The Fast Fourier Transform and Some Applications. 10. The Steady State Response of Analogue Systems By Consideration of the 11. Natural Responses, Transients and Stability. 12. The Laplace Transform. 13. Synthesis of Analogue Filters. 14. An Introduction to Digital Networks and the Z-Transform. 15. Synthesis of Digital Filters. 16. Correlation. 17. Processing Techniques for Bandpass Signals. Index.
21 citations
TL;DR: In this article, the authors introduced quaternionic fractional Fourier transform of integrable functions on ℝ and proved that it is satisfying all the expected properties like linearity, inversion formula, Parseval's formula, convolution theorem and product theorem.
21 citations