Topic
Hadamard transform
About: Hadamard transform is a research topic. Over the lifetime, 7262 publications have been published within this topic receiving 94328 citations.
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TL;DR: In this paper, the exact penalty functions for nonsmooth constrained optimization problems are analyzed using the notion of (Dini) Hadamard directional derivative with respect to the constraint set.
Abstract: Exact penalty functions for nonsmooth constrained optimization problems are analyzed tfy using the notion of (Dini) Hadamard directional derivative with respect to the constraint set. Weak conditions are given guaranteeing equivalence of the sets of stationary, global minimum, local minimum points of the constrained problem and of the penalty function
44 citations
TL;DR: A fast fault diagnosis method based on Walsh transform and rough sets is proposed, where fault signals are fast transformed by Walsh matrix, and the Walsh spectrums are obtained, whose statistical characteristics constitute feature vectors.
44 citations
03 Feb 2006
TL;DR: Using reversible Hadamard difference sets, this article constructed a symmetric Bush-type hadamard matrices of order 4m 4 for all odd integers m, where m is the number of odd integers.
Abstract: Using reversible Hadamard difference sets, we construct symmetric Bush-type Hadamard matrices of order 4m 4 for all odd integers m.
44 citations
TL;DR: The application of a Hadamard transform technique to microchip electrophoresis is described and the S/N ratio of the signal in the electropherogram can be improved by a factor of 5 in comparison with that obtained by a conventional single-injection method.
Abstract: The application of a Hadamard transform technique to microchip electrophoresis is described. The sample is electrokinetically injected into a separation channel and is then detected by diode laser-induced fluorometry. The sample and buffer solutions are introduced into the channel by controlling the high voltages applied to the solutions, according to a code determined by a Hadamard matrix. The S/N ratio of the signal in the electropherogram can be improved by a factor of 5 in comparison with that obtained by a conventional single-injection method, although an 8-fold improvement is theoretically predicted when a 255-order matrix is used.
43 citations
TL;DR: In this paper, the existence of nonnegative multiple solutions for nonlinear fractional differential equations of Hadamard type, with nonlocal fractional integral boundary conditions on an unbounded domain by means of Leggett-Williams and Guo-Krasnoselskii's fixed point theorems was investigated.
Abstract: This paper investigates the existence of nonnegative multiple solutions for nonlinear fractional differential equations of Hadamard type, with nonlocal fractional integral boundary conditions on an unbounded domain by means of Leggett-Williams and Guo-Krasnoselskii’s fixed point theorems. Two examples are discussed for illustration of the main work.
43 citations