Ambiguity Function for Wide- and Narrow-Band Signals with the Effect of the Acclerating Point Target

Abstract

Conventional ambiguity-function theory is applied when estimates of range and Doppler for moving targets are desired. Unfortunately, previously available literature has not considered the effects of an accelerating target. This paper is extended herein for both linear FM and pulsed CW signals to account for these effects, and the resulting half-power contours are plotted. For the linear FM pulse, the matched contours lengthen with acceleration, if mismatched in both Doppler and acceleration, the ambiguity function assumes the form of an Airy function, and representative contours for these conditions are also given. For the pulsed CW, the ambiguity function assumes a form that includes Fresnel integral; the resulting half-power contours are rotated when accleration is allowed in matched situations. When there is mismatch, the contours are both translated and rotated.