Ambiguity function display using a single 1-D input

The ambiguity function, first introduced by Woodward,' is a measure of the capability of a signal to measure the range and velocity of a target. The range is determined by time delay 7 and the velocity by Doppler shift v. The ambiguity function is defined as where we have assumed u ( t) is real. A coherent processor capable of displaying the ambiguity function over the entire (v,7) plane has been pre~ented.~.3 This Letter outlines an alternate scheme for ambiguity function display with the advantage that only a single 1-D input is required. This eliminates the problem of maintaining identical generation and strict alignment of two versions of the same input. There are other bilinear coherent processors that require two identical 1-D inputs4 The technique de-scribed herein can also be straightforwardly applied to these processors, so that only a single 1-D input is needed