AMBIGUITY FUNCTION AND FRAME THEORETIC PROPERTIES OF PERIODIC ZERO AUTOCORRELATION WAVEFORMS

Abstract

Constant Amplitude Zero Autocorrelation (CAZAC) waveforms u are analyzed in terms of the ambiguity function Au. Elementary number theoretic considerations illustrate that peaks in Au are not stable under small pertubations in its domain. Further, it is proved that the analysis of vector-valued CAZAC waveforms depends on methods from the theory of frames. Fi-nally, techniques are introduced to characterize the structure of Au, to compute u in terms of Au, and to evaluate MSE for CAZAC waveforms