Uncertainty Relations for MIMO Ambiguity Functions
Eren Berk Kama, Mustafa Kuzuo\u{g}lu
TL;DR
This paper establishes uncertainty relations for MIMO ambiguity functions, providing bounds and inequalities that relate signal properties, support, and covariance matrices, advancing understanding in MIMO signal analysis.
Contribution
It introduces new uncertainty relations and bounds for MIMO ambiguity functions, connecting them with covariance matrices and local uncertainty principles.
Findings
Derived norm inequalities for MIMO ambiguity functions
Established a signal-dependent lower bound on support
Linked uncertainty of Lieb and MIMO ambiguity functions
Abstract
In this paper, uncertainty relations for MIMO ambiguity functions are given. Norm inequalities on the MIMO ambiguity functions in terms of signals of concern are studied. A signal dependent lower bound on the support of MIMO ambiguity functions is given via application of a local uncertainty relation. The uncertainty of Lieb and MIMO ambiguity functions are related. Uncertainty relations on MIMO covariance matrix are given in terms of matrix norms.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Radar Systems and Signal Processing · Underwater Acoustics Research