Patent ID: 7038616

Claim:
A method comprising optimally selecting a transmit signal and a bank of receivers to maximize correct classification of any subject target of a given pool of targets; wherein a following first equation defines the transmit signal: f ⁡ ( t ) = ∑ k = 1 m ⁢ λ k ⁢ f k ⁡ ( t ) , wherein f(t) is the transmit signal, wherein m is a fixed number depending upon the number of targets; wherein λ k is the k-th maximum eigenvalue of a following second equation: ∫ 0 T Ω M (τ 1 ,τ 2 ) f k (τ 2 ) dτ 2 =λ k f k (τ 1 ), 0<τ 1 <T, k =1,2, wherein f k (t) is an eigenvector associated with the k-th largest eigenvalue λ k of the second equation; wherein Ω M ⁡ ( τ 1 , τ 2 ) = ∑ t = 1 M ⁢ ∑ k = 1 M ⁢ ∫ 0 t 0 ⁢ Δ ⁢ ⁢ S ik ⁡ ( t - τ 1 ) ⁢ Δ ⁢ ⁢ S ik * ⁡ ( t - τ 2 ) ⁢ ⁢ ⅆ t ︸ W ik ⁡ ( τ 1 , τ 2 ) , wherein Δs tk (t)=s i (t)−s k (t); wherein t is time M=the number of targets, k is an index that ranges from 1 to M, wherein τ 1 is a variable from 0 to t 0 , τ 2 is a variable from 0 to t 0 , W ik ( τ1, τ2 )is a kernal function, t 0 is the decision instant; and a Fourier transform S i (ω) of s i (t) satisfies: S i (ω)= L −1 ( j ω) Q i (ω) P (ω), i =1,2 , . . . , M wherein L(jω) is the minimum phase whitening filter who's Fourier transform magnitude |L(jω)| satisfies: | L ( j ω)| 2 =G c (ω)| P (ω)| 2 |F (ω)| 2 +G n (ω) wherein G c (ω): is a clutter spectrum; wherein G n (ω): is a noise spectrum; wherein P(ω): is a fourier transform of the transmitter output filter; wherein F(ω): is a fourier transform of f(t) in first equation; wherein Q(ω): is a fourier transform of the target waveform q i (t),i=1,2, . . . , M. and wherein the first and second equations are implemented iteratively.