Mutual Information Approximation
Chongjun Ouyang, Sheng Wu, and Hongwen Yang
TL;DR
This paper introduces a new, accurate, and low-complexity approximation formula for mutual information in AWGN channels with M-QAM signals, aiding performance analysis of practical communication systems.
Contribution
It develops a multi-exponential decay curve fitting method to approximate MI, providing a compact and precise formula for discrete input channels.
Findings
High-precision MI approximation formula
Low complexity compared to exact calculations
Facilitates performance analysis in practical systems
Abstract
To provide an efficient approach to characterize the input-output mutual information (MI) under additive white Gaussian noise (AWGN) channel, this short report fits the curves of exact MI under multilevel quadrature amplitude modulation (M-QAM) signal inputs via multi-exponential decay curve fitting (M-EDCF). Even though the definition expression for instanious MI versus Signal to Noise Ratio (SNR) is complex and the containing integral is intractable, our new developed fitting formula holds a neat and compact form, which possesses high precision as well as low complexity. Generally speaking, this approximation formula of MI can promote the research of performance analysis in practical communication system under discrete inputs.
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Taxonomy
TopicsWireless Communication Security Techniques · Chaos-based Image/Signal Encryption · Computability, Logic, AI Algorithms