Digital Twin--Driven Adaptive Wavelet Strategy for Efficient 6G Backbone Network Telemetry

Fuente: arXiv
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Autori principali: de Lima, Alexandre Barbosa, Hesselbach, Xavier, Amazonas, José Roberto de Almeida
Natura: Preprint
Pubblicazione: 2026
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author de Lima, Alexandre Barbosa
Hesselbach, Xavier
Amazonas, José Roberto de Almeida
author_facet de Lima, Alexandre Barbosa
Hesselbach, Xavier
Amazonas, José Roberto de Almeida
contents Classical orthogonal wavelets guarantee perfect reconstruction but rely on fixed bases optimized for polynomial smoothness, achieving suboptimal compression on signals with fractal spectral signatures. Conversely, learned methods offer adaptivity but typically enforce orthogonality via soft penalties, sacrificing structural guarantees. This work establishes a rigorous equivalence between Multiscale Entanglement Renormalization Ansatz (MERA) tensor networks and paraunitary filter banks. The resulting framework learns adaptive wavelets while enforcing exact orthogonality through manifold-constrained optimization, guaranteeing perfect reconstruction and energy conservation throughout training. Validation on Long-Range Dependent (LRD) network traffic demonstrates that learned filters outperform classical wavelets by 0.5--3.8~dB PSNR on six MAWI backbone traces (2020--2025, 314~Mbps--1.75~Gbps) while preserving the Hurst exponent within estimation uncertainty ($|ΔH| \le 0.03$). These results establish MERA-inspired wavelets as a principled approach for telemetry compression in 6G digital twin synchronization.
format Preprint
id arxiv_https___arxiv_org_abs_2602_20034
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Digital Twin--Driven Adaptive Wavelet Strategy for Efficient 6G Backbone Network Telemetry
de Lima, Alexandre Barbosa
Hesselbach, Xavier
Amazonas, José Roberto de Almeida
Signal Processing
Networking and Internet Architecture
Classical orthogonal wavelets guarantee perfect reconstruction but rely on fixed bases optimized for polynomial smoothness, achieving suboptimal compression on signals with fractal spectral signatures. Conversely, learned methods offer adaptivity but typically enforce orthogonality via soft penalties, sacrificing structural guarantees. This work establishes a rigorous equivalence between Multiscale Entanglement Renormalization Ansatz (MERA) tensor networks and paraunitary filter banks. The resulting framework learns adaptive wavelets while enforcing exact orthogonality through manifold-constrained optimization, guaranteeing perfect reconstruction and energy conservation throughout training. Validation on Long-Range Dependent (LRD) network traffic demonstrates that learned filters outperform classical wavelets by 0.5--3.8~dB PSNR on six MAWI backbone traces (2020--2025, 314~Mbps--1.75~Gbps) while preserving the Hurst exponent within estimation uncertainty ($|ΔH| \le 0.03$). These results establish MERA-inspired wavelets as a principled approach for telemetry compression in 6G digital twin synchronization.
title Digital Twin--Driven Adaptive Wavelet Strategy for Efficient 6G Backbone Network Telemetry
topic Signal Processing
Networking and Internet Architecture
url https://arxiv.org/abs/2602.20034