
The hartley transform
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In this paper, we introduce new polyconvolution related to the Hartley integral transforms and apply this polyconvolution to solve an integral equation of Toeplitz plus Hankel type and a system of two Toeplitz plus Hankel integral equations.
7p
vioregon2711
19-02-2021
8
1
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In this paper, we study four cases of the Toeplitz plus Hankel integro - differential equations and general integro - differential equation. These equations can be solved in closed form using new convolutions and well-known convolutions. The obtained results were the expansions of these equation types.
13p
tamynhan5
10-12-2020
4
0
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programmers who are interested in the treated algorithms and actually want to have/create working and reasonably optimized code. The printable full version will always stay online for free download. It is planned to also make parts of the TEXsources (plus the scripts used for automation) available. Right now a few files of the TEX sources and all extracted pseudo-code snippets1 are online. The C++-sources are online as part of FXT or hfloat (arithmetical algorithms).
212p
tailieuvip13
19-07-2012
75
10
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Examples of Discrete Transforms In this chapter we discuss the most important fixed discrete transforms. We start with the z-transform, whichis a fundamental tool for describing the input/output relationships in linear time-invariant (LTI) systems. Then we discuss several variants of Fourier series expansions, namely the discrete-time Fourier transform, thediscrete Fourier transform (DFT), and the Fourier fast transform (FFT).
26p
doroxon
12-08-2010
83
2
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Integral Signal Represent at ions The integral transform is one of the most important tools in signal theory. The best known example is the Fourier transform,buttherearemany other transforms of interest. In the following, W will first discuss the basic concepts of integral transforms. Then we will study the Fourier, Hartley, and Hilbert transforms. Finally, we will focus on real bandpass processes and their representation by means of their complex envelope.
25p
doroxon
12-08-2010
76
2
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