A wavelet packet basis optimization approach to radar waveform design

We describe the process of convolving a transmitted wide bandwidth chirp signal with a simulated target and then show how the result of this convolution can be decomposed using a basis optimization approach algorithm. We then show how the wavelet packet basis set can prioritize the bandwidth in the chirp signal to those frequencies that represent the target while removing other frequencies that might contain clutter and noise. Finally we compare the resulting radar signal to the signal not prioritized by the basis optimization and show improvements in the detection performance of the target at the reduced bandwidth.