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Multi-LFM Signal Separation and Parameter Estimation based on FRFT

Canyan Zhu

Open publisher page 1 citations

Abstract

Taking advantage of the energy concentration property of LFM signal in the fractional Fourier transform domain,the multi-component LFM signal separation technology based on the fractional Fourier transform is proposed in this paper.It detects the LFM signal by searching the peak in FRFT domain and separates this signal from the domain quickly.The separation effect is evaluated by the correlation coefficient.For the complexity of the 2D peak searching algorithm,the curve-fitting optimization technique is also proposed to implement FRFT modulus detection,thus reducing the 2D peak searching to a problem of 1D curve fitting.In addition,a Gaussian mixture model to approximate the distribution of FRFT modulus is described.Computer simulations show that this proposed method could greatly reduce the computational complexity,separate the LFM signal effectively and estimate the parameters correctly.

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What this paper is about

Taking advantage of the energy concentration property of LFM signal in the fractional Fourier transform domain,the multi-component LFM signal separation technology based on the fractional Fourier transform is proposed in this paper.It detects the LFM signal by searching the peak in FRFT domain and separates this signal from the domain quickly.The separation effect is evaluated by the correlation coefficient.For the complexity of the 2D peak searching algorithm,the curve-fitting optimization technique is also proposed to implement FRFT modulus detection,thus reducing the 2D peak searching to a problem of 1D curve fitting.In addition,a Gaussian mixture model to approximate the distribution of FRFT modulus is described.Computer simulations show that this proposed method could greatly reduce the computational complexity,separate the LFM signal effectively and estimate the parameters correctly.

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Available abstract

Taking advantage of the energy concentration property of LFM signal in the fractional Fourier transform domain,the multi-component LFM signal separation technology based on the fractional Fourier transform is proposed in this paper.It detects the LFM signal by searching the peak in FRFT domain and separates this signal from the domain quickly.The separation effect is evaluated by the correlation coefficient.For the complexity of the 2D peak searching algorithm,the curve-fitting optimization technique is also proposed to implement FRFT modulus detection,thus reducing the 2D peak searching to a problem of 1D curve fitting.In addition,a Gaussian mixture model to approximate the distribution of FRFT modulus is described.Computer simulations show that this proposed method could greatly reduce the computational complexity,separate the LFM signal effectively and estimate the parameters correctly.

Key concepts: Fractional Fourier transform, Computer science, SIGNAL (programming language), Algorithm, Fourier transform, Computational complexity theory, Gaussian, Domain (mathematical analysis)

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