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Fast Computation Algorithm for Mapping Method of Multicomponent Linear-FM Signal Based on Fractional Fourier Transform

Zhou Gang-yi

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Abstract

By using Radon transform, the estimation method is introduced to process multicomponent linear-FM (LFM) signals based on fractional Fourier transform (FRFT) and the corresponding fast computation algorithm is established. The LFM with the same chirp constant and same Doppler center frequency with different initial phases can be mapped into a point (energy concentration); the computation load of the proposed fast computation algorithm depends on that of the FRFT and the accuracy is determined by results of two consecutive FRFT operations.

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What this paper is about

By using Radon transform, the estimation method is introduced to process multicomponent linear-FM (LFM) signals based on fractional Fourier transform (FRFT) and the corresponding fast computation algorithm is established. The LFM with the same chirp constant and same Doppler center frequency with different initial phases can be mapped into a point (energy concentration); the computation load of the proposed fast computation algorithm depends on that of the FRFT and the accuracy is determined by results of two consecutive FRFT operations.

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Available abstract

By using Radon transform, the estimation method is introduced to process multicomponent linear-FM (LFM) signals based on fractional Fourier transform (FRFT) and the corresponding fast computation algorithm is established. The LFM with the same chirp constant and same Doppler center frequency with different initial phases can be mapped into a point (energy concentration); the computation load of the proposed fast computation algorithm depends on that of the FRFT and the accuracy is determined by results of two consecutive FRFT operations.

Key concepts: Fractional Fourier transform, Algorithm, Computation, Chirp, Fourier transform, Computer science, Doppler effect, Energy (signal processing)

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Fast Computation Algorithm for Mapping Method of Multicomponent Linear-FM Signal Based on Fractional Fourier Transform — Research Paper | ScholarLens