Hyperbolic frequency modulated signal analysis using Mellin transform

Liang Zhang

doi:10.1016/j.sigpro.2025.110007

Hyperbolic frequency modulated signal analysis using Mellin transform

2025-03-01

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AI

DOI：10.1016/j.sigpro.2025.110007

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Hyperbolic frequency modulated (HFM) signal, an optimal Doppler tolerant waveform, has widespread application in radar and sonar. Interestingly, the theoretical waveform is very close to those actually used by bats. For the problems of detection and estimation of the HFM signal, an analysis method in the scale domain is proposed, firstly searching the peaks in a delay-scale matrix obtained by calculating Mellin transform (MT) of the signal with different artificial delays, and then estimating signal parameters, according to peak position. To find the peaks, a constant false alarm rate (CFAR) detector commonly used in radar signal processing is employed. Since MT is a linear transform, the multi-component HFM signal can be analyzed by the proposed method. In addition, the computational complexity is not very high, as MT can be numerically implemented by the fast Fourier transform. Using the simulated HFM signals and the bat echolocation call, the detection and estimation performance of the proposed method is fully verified.

Keyword:

Hyperbolic frequency modulated signal

Detection and estimation

Mellin transform

Fast Fourier transform

Zero-padding

Bat echolocation call

Hyperbolic frequency modulated signal analysis using Mellin transform

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