Robust predictive deconvolution system and method

A radar receiver system comprising;

• a receiver;
• a processor including a Reiterative Minimum Mean-Square Error estimation (RMMSE) radar pulse compression algorithm, wherein the RMSSE radar pulse compression algorithm comprises:
• (a) obtaining L+(2M−1)(N−1) samples y of a radar return signal, where y(l)={circumflex over (x)}T(l) s+v(l);
• (b) applying RMMSE pulse compression to each set of N contiguous samples to obtain initial radar impulse response estimates [{circumflex over (x)}1{−(M−1)(N−1)}, . . . , {circumflex over (x)}1{−1},{circumflex over (x)}1{0}, . . . , {circumflex over (x)}1{L−1},{circumflex over (x)}1{L}, . . . , {circumflex over (x)}1{L−1+(M−1)(N−1)}];
• (c) computing power estimates {circumflex over (ρ)}1(l)=|{circumflex over (x)}1(l)|αfor (l)=−(M−1)(N−1), . . . , L−1+(M−1)(N−1) and 0<α≦2;
• (d) computing range-dependent filters according to w(l)=ρ(l) (C(l) R)−1s, where ρ(l)=E[|x(l)|α] is the power of x(l), for 0<α≦2, and R=E[v(l) vH(l)] is the noise covariance matrix;
• (e) applying the range-dependent filters to y to obtain [{circumflex over (x)}2{−(M−2)(N−1)}, . . . , {circumflex over (x)}2{−1}, {circumflex over (x)}2{0}, . . . , {circumflex over (x)}2{L−1}, {circumflex over (x)}2{L}, . . . ,{circumflex over (x)}2{L−1+(M−2)(N−1)}];
• and
• (f) repeating (c)–(e) for subsequent reiterative stages until a desired length-L range window is reached;
• and
• a target detector.

A method for processing a received, modulated radar pulse to resolve a radar target from noise or other targets, comprising:

• a) receiving a radar return signal;
• b) obtaining L+(2M−1)(N−2) samples y of the radar return signal, where y(l)={circumflex over (x)}T(l) s+v(l);
• c) applying RMMSE pulse compression to each successive N samples to obtain initial radar impulse response estimates [{circumflex over (x)}1{−(M−1)(N−1)}, . . . , {circumflex over (x)}1{−1}{circumflex over (x)}1{0}, . . . , {circumflex over (x)}1{L−1}, {circumflex over (x)}1{L}, . . . , {circumflex over (x)}1{L−1+(M−1)(N−1)}];
• d) computing power estimates {circumflex over (ρ)}1(l)=|{circumflex over (x)}1(l)|α for l=−(M−1)(N−l), . . . , L−1(M−1) and 0<α≦2;
• (e) computing range-dependent filters according to w(l)=ρ(l) (C(l)+R)−1s, where ρ(l)=E[|x(l)|α] is the power of x(l), for 021 α≦2, and R=E[v(l)vH(l)] is the noise covariance matrix;
• (f) applying the range-dependent filters to y to obtain [{circumflex over (x)}2{−(M−2)(N−1)}, . . . , {circumflex over (x)}2{−1}, . . . , {circumflex over (x)}2{0}, . . . , {circumflex over (x)}2{L−1}, {circumflex over (x)}2{L}, . . . , {circumflex over (x)}2{L−1+(M−2)(N−1)}];
• and
• (g) repeating (d)–(f) for subsequent reiterative stages until a desired length-L range window is reached, thereby resolving the radar target from noise or other targets.