Delay-Doppler deconvolution image formation for multiple targets in waveguide environment
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摘要:
The ranges and radial velocities of targets are interesting parameters in the active sonar,which can't be observed directly but can only be estimated.Firstly,by making use of the delay-Doppler model of multi-targets in waveguide multipath environment,one finds that sample cross-ambiguity function is a two-dimensional (2D) convolution of the auto-ambiguity function of the transmitted signal with the generalized target reflectivity density,which is a 2D convolution of the spread function of channel with the reflectivity density as well.Secondly,from the perspective of information theory,an iterative deconvolution algorithm named R-L (Richardson-Lucy) is derived based on minimum Csiszar discrimination criterion.Finally,the blurs caused by both of the transmitted signal and channel are removed by 2D deconvolution of the expectation of sample cross-ambiguity function,2D image and then parameters of time-delay and Doppler is estimated sequentially.Results of both numerical simulation and sea experimental data processing verify the feasibility and effectiveness of R-L deconvolution algorithm,which effectively improves the resolution and precision of the time delay and Doppler estimation,when compared to the classical match filtering and Wiener filtering.