Multichannel Random Discrete Fractional Fourier Transform

Kang, Xuejing; Zhang, Feng; Tao, Ran

doi:10.1109/lsp.2015.2402395

Cited by 22 publications

(6 citation statements)

References 18 publications

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“…Hence the ECG data needs a proper compression technique, for data reduction [5][6][7][8][9][10][11][12][13]20]. Various compression methods used are: [18,19] etc.…”

Section: Lossy and Lossless Compressionmentioning

confidence: 99%

ECG Signal Compression Using the High Frequency Components of Wavelet Transform

K.S¹,

Patil²

2016

ijacsa

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Abstract-Electrocardiography (ECG) is the method of recording electrical activity of the heart by using electrodes. In ambulatory and continuous monitoring of ECG, the data that need to be handled is huge. Hence we require an efficient compression technique. The data also must retain the clinically important features after compression. For most of the signals, the low frequency component is considered as most important part of the signal.In wavelet analysis, the approximation coefficients are the low frequency components of the signal. The detail coefficients are the high frequency components of the signal. Most of the time the detail coefficients (high frequency components) are not considered. In this paper, we propose to use detail coefficients of Wavelet transform for ECG signal compression. The Compression Ratio (CR) of both the approximation and detail coefficients are compared. Threshold based technique is adopted. The Threshold value helps to remove the coefficients below the set threshold value of coefficients. Experiment is carried out using different types of Wavelet transforms.MIT BIH ECG data base is used for experimentation. MATLAB tool is used for simulation purpose. The novelty of the method is that the CR achieved by detail coefficients is better. CR of about 88% is achieved using Sym3 Wavelet. The performance measure of the reconstructed signal is carried out by PRD.

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“…Hence the ECG data needs a proper compression technique, for data reduction [5][6][7][8][9][10][11][12][13]20]. Various compression methods used are: [18,19] etc.…”

Section: Lossy and Lossless Compressionmentioning

confidence: 99%

ECG Signal Compression Using the High Frequency Components of Wavelet Transform

K.S¹,

Patil²

2016

ijacsa

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“…Thus, phase retrieval using the FRFT was introduced for image encryption and examination of sensitivities of the various encryption keys [16]. In addition, the methods of multiple-parameter FRFT [17][18] were proposed and applied to the image feature extraction and representation.…”

Section: Introductionmentioning

confidence: 99%

The Property of Frequency Shift in 2D-FRFT Domain with Application to Image Encryption

Gao,

Qi,

Guan

2021

Preprint

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The Fractional Fourier Transform (FRFT) has been playing a unique and increasingly important role in signal and image processing. In this paper, we investigate the property of frequency shift in two-dimensional FRFT (2D-FRFT) domain. It is shown that the magnitude of image reconstruction from phase information is frequency shift-invariant in 2D-FRFT domain, enhancing the robustness of image encryption, an important multimedia security task. Experiments are conducted to demonstrate the effectiveness of this property against the frequency shift attack, improving the robustness of image encryption.

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“…The cipher text may be received by discrete cosine remodel (DCT). Multichannel random discrete fractional Fourier remodel with arbitrary increment coefficients and fractional remodel kernel features has been proposed with the aid of Kang [8]. In [9], the novel model offered by implementing the chaotic Logistic map in embedded structures using the synchronization phenomenon of discrete fractional logistic maps have been proposed.…”

Section: Introductionmentioning

confidence: 99%

Secure Strategy for Optical Image Encryption System Based on Amplitude Modulation, Phase Modulation and Modified Logistic Map

Elshamy¹,

Hussein²,

Hamed³

et al. 2018

Computer Science &Amp; Information Technology (CS &Amp; IT)

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This paper presents an optical image encryption system based completely on amplitude modulation, phase modulation in the discrete Fourier transform and modified chaotic logistic map. Amplitude modulation and phase modulation are accomplished by the use of spatial light modulator (SLM). SLMs are normally used to control incident light in amplitude-best, phasebest or the mixture (amplitude-phase). The random amplitude modulation based on a chaotic Baker map is carried out in time domain, while the random phase modulation is accomplished in the frequency domain. In this paper, we proposed a technique to regulate and enhance protection in a chaotic logistic map method leading to increased variety of key space of the logistic map. This causes our encryption system to become exceptionally sturdy against brute pressure. An exhaustive analysis of the proposed encryption system is undergone and shows positive results in encryption metrics when compared to several different photo encryption techniques. The analysis demonstrates the highly valued security and immunity to noise of the photograph encryption. The proposed modified logistic map with amplitude and phase modulation is suitable for real-time application.

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Multichannel Random Discrete Fractional Fourier Transform

Cited by 22 publications

References 18 publications

ECG Signal Compression Using the High Frequency Components of Wavelet Transform

ECG Signal Compression Using the High Frequency Components of Wavelet Transform

The Property of Frequency Shift in 2D-FRFT Domain with Application to Image Encryption

Secure Strategy for Optical Image Encryption System Based on Amplitude Modulation, Phase Modulation and Modified Logistic Map

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