We introduce the signals found in radar systems, and how the information they contain about targets can be used for fuzing. We then describe a new wavelet-based model for the random radar reflections from the ocean surface, which are a major source of noise in naval operations. Next we show ways of improving the performance of wavelet denoising when the corrupting noise is fractal. We then describe a new method of pulse radar target detection using a recently developed complex-valued Hermitian wavelet. Finally, we examine a new wavelet video method of processing signals for continuous-wave radar fuzes.