A generalized relationship for calculating the ambiguity function of the radar signals is derived

which can be used to calculate any complex signal by layer-by-layer repetition and multiple modulations. A linear FM rectangular envelope sub-pulse is taken as an example of the component signal. The relationship derived is widely applicable in many cases

such as a single pulse and the coherent pulse trains

linear FM in the pulse duration

frequency and phase shift coding of the contiguous sub-pulses

staggering the repetition period and interpulse frequency shift

complex weighting of the pulse trains and so on.An ALGOL program and its practical application was given by author in another paper.