Real Discrete Fractional Fourier, Hartley, Generalized Fourier and Generalized Hartley Transforms With Many Parameters

Hsue, Wen-Liang; Chang, Wei-Ching

doi:10.1109/tcsi.2015.2468996

Cited by 37 publications

(8 citation statements)

References 18 publications

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“…In MATLAB, the reduced SVD can be obtained using the function (svds) that is shown in (8). The selection of the desired ℘ leads to obtain the sub-matrices (9)- (11). After the selection of p, the matrix Y cannot be reconstructed due to the unfit sizes of [U 1 ]…”

Section: Mp Methodsmentioning

confidence: 99%

“…Indeed, the dynamic behaviour and the accuracy of the SAPF highly depend on the performance of this part. Probably, the most widely used frequency-domain approach for generating the RCC is employing the discrete Fourier transform (DFT) [8,9], or the fast Fourier transform (FFT), which is a developed version of the DFT with a collection of algorithms to reduce its computational time [10][11][12][13]. Nevertheless, the FFT consumes extra power since all frequency bins have to be calculated during the process [14].…”

Section: Introductionmentioning

confidence: 99%

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Matrix pencil method‐based reference current generation for shunt active power filters

Terriche

Golestan

Guerrero

et al. 2018

IET Power Electronics

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In recent years, the shunt active power filters (SAPFs) have received much attention for compensating the harmonic pollution and also providing the reactive content. A crucial issue in controlling the SAPF is generating the reference compensating current (RCC). Typical approaches for this purpose are using the discrete Fourier transform (DFT) in the frequency domain, or the instantaneous p-q theory and the synchronous reference frame (SRF) in the time domain. The DFT, however, suffers from the picket-fence effect and spectral leakage. On the other hand, the DFT takes at least one cycle of the nominal frequency. The time domain methods show a weakness under voltage distortion, which require prior filtering techniques. The aim of this paper is to present a fast yet effective method for generating the RCC for SAPFs. The proposed method, which is based on the matrix pencil method (MPM), has a fast dynamic response and works well under distorted and unbalanced voltage. Moreover, the proposed method can estimate the voltage phase accurately, this property enables the algorithm to compensate for both power factor (PF) and current unbalance. The effectiveness of the proposed method is verified using simulation and experimental results, and compared with the standard methods.

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Section: Mp Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Matrix pencil method‐based reference current generation for shunt active power filters

Terriche

Golestan

Guerrero

et al. 2018

IET Power Electronics

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“…In real number operations, the amount of intermediate results of Hartley transform is less than half of complex number operations. Thus, compared with Fourier transform, Hartley transform facilitates processing and saves memory …”

Section: Fringe Image Processingmentioning

confidence: 99%

Parallelizing Hartley transform with Hadoop for fast detection of glass defects

Zhang

Jin

et al. 2018

Concurrency and Computation

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Summary Glass defect detection methods based on grating projection can effectively detect various glass defects. The Fourier transform in general can be used as an online processing method for detecting glass defects based on fringe images. Processing fringe images with Fourier transform needs a large amount of computation as Fourier transform is a complex computation method. In order to reduce the amount of computation, an improved fringe image processing method based on the Hartley transform is proposed in this paper. To further speed up the computation process, the Hartley transform is parallelized with Hadoop, which is a major computing technology in support of data intensive applications. Experimental results show that the parallel Hartley transform significantly reduces computation complexity in detection of glass defects.

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“…Estratégias para produzir matrizes reais de transformadas fracionárias têm sido investigadas [14]- [16]. Um dos métodos propostos em [16], por exemplo, que é restrito a N = 4m + 1, emprega, no lugar de Λ a em (10), a matriz bloco-diagonal…”

Section: A Dht Fracionária Multiordemunclassified

Matrizes Geradoras de Autovetores para Construção de Transformadas de Hartley Fracionárias

Figueiredo¹,

Lima²,

Neto³

2017

Anais De XXXV Simpósio Brasileiro De Telecomunicações E Processamento De Sinais

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Resumo-Neste artigo, propõe-se um método baseado em matrizes geradoras para construir autovetores da transformada discreta de Hartley (DHT). Os conjuntos de autovetores obtidos são caracterizados e empregados na definição de uma DHT fracionária (DFrHT). Uma versão real e multiordem da DFrHT é então apresentada; como o número de parâmetros livres dessa transformada é maior que o das transformadas de Fourier correspondentes, seu uso em cifragem de imagens pode prover vantagens relacionadas à robustez contra certos ataques criptográficos. Uma avaliação preliminar de tal possibilidade é realizada na parte final do trabalho. Palavras-Chave-transformada discreta de Hartley, matrizes geradoras, autovetores, transformadas fracionárias.

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Real Discrete Fractional Fourier, Hartley, Generalized Fourier and Generalized Hartley Transforms With Many Parameters

Cited by 37 publications

References 18 publications

Matrix pencil method‐based reference current generation for shunt active power filters

Matrix pencil method‐based reference current generation for shunt active power filters

Parallelizing Hartley transform with Hadoop for fast detection of glass defects

Matrizes Geradoras de Autovetores para Construção de Transformadas de Hartley Fracionárias

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