Tools for Analysis of Shannon-Kotel'nikov Mappings
P{\aa}l Anders Floor, Tor A. Ramsted
TL;DR
This paper introduces differential geometry tools to analyze Shannon-Kotel'nikov mappings, a specific class of joint source-channel codes, and presents new results derived from these mathematical concepts.
Contribution
It provides novel differential geometric methods for analyzing S-K mappings and offers new theoretical insights into their properties.
Findings
Development of differential geometric tools for S-K mappings
New theoretical results on Shannon-Kotel'nikov codes
Enhanced understanding of JSCC through geometric analysis
Abstract
This document introduces tools from differential geometry needed for the analysis of a subset of Joint Source-Channel Codes (JSCC) named Shannon-Kotel'nikov (S-K) mappings. New results based on these concepts are further provided.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Differential Equations and Dynamical Systems · advanced mathematical theories