Patent ID: 7720132

Claim:
A method comprising providing a transmitter and a receiver; selecting a desired bandwidth B 1 for a transmit signal f(t); outputting the transmit signal f(t) from the transmitter towards a target and towards interference, wherein the target produces a target signal; and further comprising receiving a combination signal at an input of the receiver, wherein the combination signal includes noise and the transmit signal f(t) modified by interacting with the target and the interference, wherein the receiver acts on the combination signal to form a receiver output signal, wherein the transmit signal f(t) is selected so that the total interference at the input of the receiver is whitened, and the receiver is configured so that the ratio of the receiver output signal to interference plus noise power is maximized while maintaining the desired bandwidth B 1 for the receiver output signal, and wherein the Fourier transform F(ω) of the transmit signal f(t) is given by:  F ⁡ ( ω )  2 = { ( max ω ∈ B 1 ⁢ G n ⁡ ( ω ) ) G c ⁡ ( ω ) , ω ∈ Ω + ⁡ ( B 1 ) 0 , ω ∈ Ω o wherein B 1 is the desired bandwidth of the transmit signal f(t); G c (ω) is the interference spectrum; G n (ω) is the noise spectrum; Ω 0 is complementary region in the frequency to Ω + (B 1 ) and Ω + (B 1 ) represents the frequency region where the following inequality is satisfied: for ωεΩ + (B 1 ) we have G n ⁡ ( ω ) ≤ max ω ∈ B 1 ⁢ G n ⁡ ( ω ) .