| _version_ | 1866901666735849472 |
|---|---|
| author | Alex Shvets |
| author_facet | Alex Shvets |
| contents | <p>Rigorous analytical proofs for Jensen-Shannon divergence contraction under additive white Gaussian noise channels. Two main results: (1) delta-function inputs maximize output JSD under power constraints, proved via Entropy Power Inequality and Fisher information convexity; (2) high-SNR asymptotic 1 − Φ(t) = (A/t)exp(−t²/2) with closed-form constant A = √(π/2)/ln2, proved via Dominated Convergence Theorem and Leibniz series.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18101562 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Analytical Proofs for JSD Contraction Coefficients of AWGN Channels Alex Shvets Jensen-Shannon divergence AWGN channel contraction coefficient Entropy Power Inequality Fisher information de Bruijn identity high-SNR asymptotic information theory <p>Rigorous analytical proofs for Jensen-Shannon divergence contraction under additive white Gaussian noise channels. Two main results: (1) delta-function inputs maximize output JSD under power constraints, proved via Entropy Power Inequality and Fisher information convexity; (2) high-SNR asymptotic 1 − Φ(t) = (A/t)exp(−t²/2) with closed-form constant A = √(π/2)/ln2, proved via Dominated Convergence Theorem and Leibniz series.</p> |
| title | Analytical Proofs for JSD Contraction Coefficients of AWGN Channels |
| topic | Jensen-Shannon divergence AWGN channel contraction coefficient Entropy Power Inequality Fisher information de Bruijn identity high-SNR asymptotic information theory |
| url | https://doi.org/10.5281/zenodo.18101562 |