and the inverse Fourier transform is f (x) = 1 2π ∫ ∞ −∞ F(ω)e dω Recall that i = √−1 and eiθ = cos θ+ i sin θ. Think of it as a transformation into a different set of basis functions. The Fourier transform uses complex exponentials (sinusoids) of various frequencies as its basis functions. (Other transforms, such as Z, Laplace, Cosine, Wavelet, and Hartley, use different basis functions). A Fo...

The names Cissus frutescens and Cissus arborea have a long history of confusion. Cissus frutescens Blanco belongs to the genus Melicope (Rutaceae) and we herein correct a nomenclatural mistake made by T.G. Hartley in the revision of Melicope. The name Melicope confusa (Merr.) P.S. Liu was accepted for this taxon by Hartley. However, Cissus frutescens Blanco represents the earliest name for this...

Generalizations of Pareto optimality have been studied by a number of authors. In finite dimensions such work is exemplified by Corley [ 5 ], DaCunha and Polak [10], Goeffrion [131, Hartley [151, Lin [171, Tanino and Sawaragi [211, Wendell and Lee [221, and Yu [231. The optimization of functions into possibly infinite dimensions has been considered by Borwein [21, Cesari and Suryanarayana [31, ...

More accurate dynamic load models get better description of the dynamic load characteristic and its relation to voltage stability. In this paper, a second order Taylor series expansion model is presented as the simplification of the popular used exponential recovery dynamic load model. Then, a frequency weighted least-squares based Hartley modulating functions (HMF) method is developed to estim...

Abstract— A new fast algorithm for computing the discrete Hartley transform (DHT) is presented, which is based on the expansion of the transform matrix. The algorithm presents a better performance, in terms of multiplicative complexity, than previously known fast Hartley transform algorithms and same performance, in terms of additive complexity, than Split-Radix algorithm. A detailed descriptio...

<span lang="EN-US">This paper presents an efficient fast Walsh–Hadamard–Hartley transform (FWHT) algorithm that incorporates the computation of Walsh-Hadamard (WHT) with discrete Hartley (DHT) into orthogonal, unitary single possesses block diagonal structure. The proposed is implemented in integrated butterfly structure utilizing sparse matrices factorization approach and Kronecker (tens...