New Lower Bounds on Aperiodic Ambiguity Function of Unimodular Sequences
CoRR(2024)
摘要
This paper presents new aperiodic ambiguity function (AF) lower bounds of
unimodular sequences under certain low ambiguity zone. Our key idea, motivated
by the Levenshtein correlation bound, is to introduce two weight vectors
associated to the delay and Doppler shifts, respectively, and then exploit the
upper and lower bounds on the Frobenius norm of the weighted auto- and cross-AF
matrices to derive these bounds. Furthermore, the inherent structure properties
of aperiodic AF are also utilized in our derivation. The derived bounds are
useful design guidelines for optimal AF shaping in modern communication and
radar systems.
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