Abstract: Doppler insensitive waveforms, such as portions of hyperbolas having the same asymptotes, may be used to modulate pulses or sub-pulses of energy for probing a determined environment so that when the modulated energy is transmitted and received, the received energy may be processed, such as by correlation with the transmitted energy without regard to any Doppler frequency shift between the transmitted energy and the received energy. The Doppler frequency shift may have been imparted by reflection of the transmitted energy from an object having a relative radial velocity with respect to a sensor of the received energy. Also included are apparatus for processing received energy by correlation with transmitted energy, a method for modulating energy that may be transmitted and a method for detecting an object without regard to Doppler frequency shift or relative radial velocity.