Robust predictive deconvolution system and method

摘要

A method for processing a received, modulated pulse (i.e. waveform) that requires predictive deconvolution to resolve a scatterer from noise and other scatterers includes receiving a return signal; obtaining L+(2M-1)(N-1) samples y of the return signal, where y(l)=x^T(l)s+v(l); applying RMMSE estimation to each successive N samples to obtain initial impulse response estimates [x₁{-(M-1)(N-1)}, . . . , x₁{-1}, x₁{0}, . . . , x₁{L-1}, x₁{L}, . . . , x₁{L-1+(M-1)(N-1)}]; computing power estimates {circumflex over (rho)}₁(l)=|x₁(l)|² for l=-(M-1)(N-1), . . . , L-1+(M-1)(N-1); computing MMSE filters according to w(l)=rho(l)(C(l)+R)^-1s, where rho(l)=|x(l)|² is the power of x(l), and R=E[v(l)v^H(l)] is the noise covariance matrix; applying the MMSE filters to y to obtain [x₂{-(M-2)(N-1)}, . . . , x₂{-1}, x₂{0}, . . . , x₂{L-1}, x₂{L}, . . . , x₂{L-1+(M-2)(N-1)}]; and repeating (d)-(f) for subsequent reiterative stages until a desired length-L range window is reached, thereby resolving the scatterer from noise and other scatterers. The RMMSE predictive deconvolution approach provides high-fidelity impulse response estimation. The RMMSE estimator can reiteratively estimate the MMSE filter for each specific impulse response coefficient by mitigating the interference from neighboring coefficients that is a result of the temporal (i.e. spatial) extent of the transmitted waveform. The result is a robust estimator that adaptively eliminates the spatial ambiguities that occur when a fixed receiver filter is used.