Abstract: Method and apparatus for developing high range resolution radar target profiles. An outgoing radar waveform is encoded with coefficients corresponding to a wavelet transformation and then transmitted in the direction of a radar target. Incoming waveforms, including return waveforms reflected from the radar target, are decoded using an inverse wavelet transform to produce a high range resolution profile of the target. In an exemplary embodiment, the outgoing waveform is phase-shifted to create finite-duration waveform pulses, each pulse having a phase-state pattern corresponding to a set of coefficients in a transposed wavelet transform matrix. Phase-state duration is adjusted to achieve a desired range resolution.