Multiple-Parameter Discrete Fractional Transform and its Applications

Kang, Xuejing; Tao, Ran; Zhang, Feng

doi:10.1109/tsp.2016.2544740

Cited by 41 publications

(20 citation statements)

References 48 publications

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“…Seguindo uma abordagem semelhante à apresentada noutros trabalhos [5], [17], o que se propõe é cifrar uma imagem Im aplicando uma versão bidimensional da DHT fracionária multiordem. A respectiva imagem cifrada é obtida por…”

Section: A Dht Fracionária Multiordemunclassified

“…Apenas para mencionar alguns exemplos, transformadas fracionárias podem ser empregadas em cifragem e extração de características de imagens, reconstrução e filtragem de sinais, comunicação subaquática, classificação de distúrbios em sistemas de potência etc. [5]- [10]. Se T for a matriz da transformada discreta de Fourier (DFT, do inglês discrete Fourier transform), propriedades específicas relacionadas aos autovetores usados em sua diagonalização podem ser desejáveis.…”

Section: Introductionunclassified

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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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Section: A Dht Fracionária Multiordemunclassified

Section: Introductionunclassified

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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“…Since the fractional Fourier transform (FRFT) spectrum of a LFM signal has a greater energy concentration characteristic, the FRFT, as a new time–frequency tool, has attracted more attention, and has been widely applied to the parameter estimation of LFM signal [ 10 , 11 , 12 , 13 , 14 , 15 , 16 ]. Zhao et al propose a method for estimating the LFM signal by utilizing the pulse compression in both the time domain and the FRFT domain [ 10 ].…”

Section: Introductionmentioning

confidence: 99%

“…Zhao et al propose a method for estimating the LFM signal by utilizing the pulse compression in both the time domain and the FRFT domain [ 10 ]. The parameters of the LFM signal can be estimated by a fractional Fourier transform [ 11 , 12 ], a fractional correlation [ 13 ], and a fractional power spectrum [ 14 , 15 , 16 ].…”

Section: Introductionmentioning

confidence: 99%

A Novel Parameter Estimation Method Based on a Tuneable Sigmoid in Alpha-Stable Distribution Noise Environments

Younan

Shi

2018

Sensors

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In this paper, a novel method, that employs a fractional Fourier transform and a tuneable Sigmoid transform, is proposed, in order to estimate the Doppler stretch and time delay of wideband echoes for a linear frequency modulation (LFM) pulse radar in an alpha-stable distribution noise environment. Two novel functions, a tuneable Sigmoid fractional correlation function (TS-FC) and a tuneable Sigmoid fractional power spectrum density (TS-FPSD), are presented in this paper. The novel algorithm based on the TS-FPSD is then proposed to estimate the Doppler stretch and the time delay. Then, the derivation of unbiasedness and consistency is presented. Furthermore, the boundness of the TS-FPSD to the symmetric alpha stable (SαS) noise, the parameter selection of the TS-FPSD, and the feasibility analysis of the TS-FPSD, are presented to evaluate the performance of the proposed method. In addition, the Cramér–Rao bound for parameter estimation is derived and computed in closed form, which shows that better performance has been achieved. Simulation results and theoretical analysis are presented, to demonstrate the applicability of the forgoing method. It is shown that the proposed method can not only effectively suppress impulsive noise interference, but it also does not need a priori knowledge of the noise with higher estimation accuracy in alpha-stable distribution noise environments.

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“…On the contrary, an authorized party, however, is able to decode the message or information using a decryption algorithm. Some modern techniques to accelerate communication speed and improve the bandwidth facilities are studied and referred to enhance the overall quality of the communication security [1][2][3][4][5][6][7][8]. In this course, Spread Spectrum (SS), the strategy primitively developed for the non-civil-military purposes, is an art to provide consistently the secure communication by spreading out the signal over a large frequency band.…”

Section: Introductionmentioning

confidence: 99%

SNR Improvement and Bandwidth Optimization Technique Using PCM-DSSS Encryption Scheme

Sakib

Hira

Mollah

et al. 2016

International Journal on Advanced Science, Engineering and Information Technology

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Cryptography, the scheme of information stashing and verification, entirely deals with protocols, algorithms and strategies to ensure the precise security facility of the signal consistently by hindering unauthorized access to the confidential information. Albeit in most of the encryption schemes, certain impediments are faced by the service providers such as the expansion of required bandwidth, the fragile encryption technique, the consumption of maximum bandwidth in security purpose, less priority to improvement of SNR of the system, the complexity in decryption and so forth. This paper illustrates the SNR enhancement & bandwidth optimization technique in security purpose using PCM-DSSS sample by sample encryption scheme. For this purpose, after sampling of a signal, simple mathematical operation is performed in each sample with a time varying arbitrary weights. This arbitrary weight can be obtained from D/A conversion of pseudo noise sequence. Since the bandwidth consumption in security purpose can be minimized in this scheme, a significant portion of unused bandwidth can be used to improve the SNR of the system by reducing quantization noise of encrypted samples. By the same token, the possibility of SNR improvement is demonstrated by reckoning the quantization noise while introducing additional quantization step.

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Multiple-Parameter Discrete Fractional Transform and its Applications

Cited by 41 publications

References 48 publications

Matrizes Geradoras de Autovetores para Construção de Transformadas de Hartley Fracionárias

Matrizes Geradoras de Autovetores para Construção de Transformadas de Hartley Fracionárias

A Novel Parameter Estimation Method Based on a Tuneable Sigmoid in Alpha-Stable Distribution Noise Environments

SNR Improvement and Bandwidth Optimization Technique Using PCM-DSSS Encryption Scheme

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