Group-Complementary Array Coding for Radar Clutter Rejection

A radar waveform design technique which utilizes Lagrange's method of multipliers to control temporal sidelobes and to reduce Doppler sidelobes is described. This classical method of constrained optimization is applied to the problem of synthesizing a radar wave-form where mismatch loss is the objective function to be minimized. The associated constraints are taken from expressions for the composite temporal sidelobes of the cross-correlation response and the peak correlation response where sets of code words are used to modulate a series of radar pulses. The resulting code sets and receiver reference sets are called group-complementary and produce a trench parallel to or on the range axis of the cross-ambiguity surface.     

Group-Complementary Temporal Sidelobe Cancellation in Systems with Window-Weighting

Group-complementary coded pulses have the algebraic property of temporal sidelobe cancellation, when a set of equally weighted pulses are added. When the summation is extended to multiple repetitions of the code set, then the temporal sidelobe cancellation property holds for certain nonuniform pulse weights.