A cross-ambiguity function (CAF) is a generalization of cross-correlation. Calculating a cross-ambiguity function between two versions of the same signal received on separated moving platforms (like aircraft) is a means for estimating simultaneously the differences in both the time of arrival of the two versions at the two platforms and the frequency difference between them caused by different Doppler shifts that result from the platform motions. In the simplest scenarios, both these parameters remain essentially constant over an observation interval and when the signal emitter is stationary, each of these parameters defines a locus on the earth’s surface whose intersection identifies the geolocation of that emitter. In more complex signal scenarios, modified versions of a CAF calculation provide equivalent estimates. Importantly, the estimates derived via a CAF or modified CAF are generally independent of the nature of a signal’s (usually unknown) modulation.
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Dr. Stein’s career spanned more than a half-century, from 1954 to retirement in 2012. His early work was centered on advanced communication systems, especially operation over fading radio channels. In the 1970s, his work segued into digital signal processing, including invention in 1971 of the technique of calculating a cross-ambiguity function to provide a joint estimate of time delay and frequency offset. The last two decades of this career was devoted almost exclusively to algorithmic design for improved or expanded applications of CAF processing.
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