MIMO-OFDM system based on fractional Fourier transform and selecting algorithm for optimal order

Yang, Qian; Tao, Ran; Wang, Yue; Chen, Enqing

doi:10.1007/s11432-008-0123-0

Cited by 9 publications

(13 citation statements)

References 24 publications

(25 reference statements)

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Order By: Relevance

“…F indicates the Frobenius norm, and E denotes expectation. Using the algorithm introduced in [20], an optimal order of FRFT can be found which maximizes the CIR value in (24). By choosing an optimal order, the ICIinversely proportional to CIR-is minimized.…”

Section: Simulation Results and Discussionmentioning

confidence: 99%

“…The chirp CP can remove the ISI and transform the linear convolution into fractional circular convolution. According to the FRFT sampling theorem, we have [ (14) and g N is the number of the CP samples [20].…”

Section: Fig 1 Block Diagram Of Frft-based Mimo-ofdm Transceivermentioning

confidence: 99%

“…A proper order is considered to make the channel transmission matrix approximately diagonal, and consequently the ICI would be suppressed effectively [21]. Since the complexity of the FRFT is approximately equal to FFT, this method can lead to a significant improvement in system performance without increasing the complexity [20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

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Comparative performance assessment between FFT‐based and FRFT‐based MIMO‐OFDM systems in underwater acoustic communications

Nassiri

Baghersalimi

2018

IET Communications

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In this paper, the performance of Multiple-Input Multiple-Output (MIMO) systems based on the fractional Fourier transform (FRFT) and the fast Fourier transform (FFT) in underwater acoustic (UWA) communication channels is evaluated and compared for various conditions including the number of subcarriers, modulation schemes, the number of paths between the transmitter and receiver, Doppler frequencies, and MIMO modes including diversity and multiplexing. The study demonstrates while the computational complexity of the FRFT is in the order of the FFT, the performance of the FRFT-based UWA system is superior than that of the FFT-based system for all multipath scenarios, and for the flat fading channel they achieve the same performance.

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Section: Simulation Results and Discussionmentioning

confidence: 99%

Section: Fig 1 Block Diagram Of Frft-based Mimo-ofdm Transceivermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Comparative performance assessment between FFT‐based and FRFT‐based MIMO‐OFDM systems in underwater acoustic communications

Nassiri

Baghersalimi

2018

IET Communications

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“…Fractional Fourier transform is a novel time-frequency processing tool, which has been well discussed in these years [9][10][11][12]. It is a generalization of the ordinary Fourier transform.…”

Section: Fractional Fourier Transformmentioning

confidence: 99%

Double-characters detection of nonlinear frequency modulated signals based on FRFT

Shui

Yang

2010

Sci. China Inf. Sci.

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In many practical applications, signals to be detected are unknown nonlinear frequency modulated (FM) and are corrupted by strong noise. The phase histories of the nonlinear FM signals are assumed to be unknown smooth functions of time, which are usually poorly modeled or cannot be modeled at all by a small number of parameters. Because of the lack of phase model, a nonparametric detection method is proposed based on successive fractional Fourier transform and double-characters detection. The detection process goes in three steps. First, an image is constructed by the fractional Fourier transforms of successive angles in one period. Then, the threshold procedure is utilized to transform the image into a binary image. After the multiple median filtering, the binary image is refined where the isolated noise pixels are removed. Finally, two complementary features are extracted from the refined image, and a double-characters detector is proposed to decide whether the target is present or not. The simulation experiments to three polynomial phase signals with different orders and a sinusoidal phase signal show that the proposed detection method is effective and robust.

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“…[1][2][3][4][5][6][7][8][9][10][11][12][13]. The FRFT can be interpreted as a rotation of the time-frequency plane and has been proven to relate to other time-varying signal analysis tools, such as Wigner distribution, short-time Fourier transform, wavelet transform, and so on.…”

Section: Introductionmentioning

confidence: 99%

The discrete multiple-parameter fractional Fourier transform

Lang

Tao

Wang

2010

Sci. China Inf. Sci.

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As a generalization of the Fourier transform (FT), the fractional Fourier transform (FRFT) has many applications in the areas of optics, signal processing, information security, etc. Therefore, the efficient discrete computational method is the vital fundament for the application of the fractional Fourier transform. The multiple-parameter fractional Fourier transform (MPFRFT) is a generalized fractional Fourier transform, which not only includes FRFT as special cases, but also provides a unified framework for the study of FRFT. In this paper, we present in detail the discretization method of the MPFRFT and define the discrete multiple-parameter fractional Fourier transform (DMPFRFT). Then, we utilize the tensor product to define two-dimensional multiple-parameter fractional Fourier transform (2D-MPFRFT) and the corresponding two-dimensional discrete multiple-parameter fractional Fourier transform (2D-DMPFRFT). Finally, as an application, a novel image encryption method based on 2D-DMPFRFT is proposed. Numerical simulations are performed to demonstrate that the proposed method is reliable and more robust to blind decryption than several existing methods.

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MIMO-OFDM system based on fractional Fourier transform and selecting algorithm for optimal order

Cited by 9 publications

References 24 publications

Comparative performance assessment between FFT‐based and FRFT‐based MIMO‐OFDM systems in underwater acoustic communications

Comparative performance assessment between FFT‐based and FRFT‐based MIMO‐OFDM systems in underwater acoustic communications

Double-characters detection of nonlinear frequency modulated signals based on FRFT

The discrete multiple-parameter fractional Fourier transform

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