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(Lambda)=x<T>(Lambda)s+nu(Lambda); 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}, . . . , x1{L-1}, x1{l-1+(M-1)(N-1)}]; computing power estimates &rgr;1(Lambda)=|x1(Lambda)|<alpha> for Lambda=-(M-1)(N-1), . . . , L-1+(M-1)(N-1) and 0<alpha<=2; computing MMSE filters according to w(Lambda)=rho(Lambda) (C(Lambda)+R)<-1 >s, where rho(Lambda)=E[|x(Lambda)|<alpha>] is the power of x(Lambda), for 0<alpha<=2, and R=E[nu(Lambda) nu<H>(Lambda)] 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.
|