Abstract :
When pulse compression having a bandwidth approximately equal to the desired short CW pulse is incorporated in an array to obtain longer pulses as well as good range resolution, the question of system response, gain, and resolution as a function of θ arises. An array´s response to an expanded or complex waveform can not always be visualized or calculated. The theorem stated and proven in this note has shown that an array´s response to an expanded or complex waveform is identical to the response obtained by the waveform´s compressed pulse shape. That is, the antenna´s response is dependent only upon the co-mpressed pulse shape and not on the expanded or complex wavefo:rm used to transmit the desired energy or information. If a given short pulse is to be extracted from a radar´s signal processing section, it is unimportant whether linear-FM. nonlinear FM, step frequency pulse coding, etc., is used.
