Patent ID: 7538720

Claim:
A method comprising providing a transmitter and a receiver; outputting a transmit signal f o (t) from the transmitter towards a target and towards interference; wherein the target produces a target signal; wherein the transmit signal f o (t) has a transmit signal bandwidth B o , transmit signal energy, and a transmit signal waveform; and further comprising receiving a combination signal at the receiver, wherein the combination signal includes noise and the transmit signal f o (t) modified by interacting with the target and the interference; wherein the receiver has a filter having a transfer function of H o ⁡ ( ω ) = Q * ⁡ ( ω ) ⁢ F o * ⁡ ( ω ) G c ⁡ ( ω ) ⁢  F o ⁡ ( ω )  2 + G n ⁡ ( ω ) ⁢ ⅇ - jω ⁢ ⁢ t o and the filter acts on the combination signal to form a receiver output signal having a receiver output signal waveform; wherein F o (ω) represents the Fourier transform of the transmit signal f o (t); wherein Q(ω) is the target signal Fourier transform; G c (ω) is the interference spectrum; and G n (ω) is the noise spectrum; wherein the receiver output signal has a receiver output signal waveform that describes an output signal to interference to noise ratio (SINR) performance; and reducing both the transmit signal bandwidth and transmit signal energy simultaneously by modifying the transmit signal waveform and receiver output signal waveforms without sacrificing the output SINR performance level.