Error Feedback Approach for Quantization Noise Reduction of Distributed Graph Filters

Fuente: arXiv
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Autores principales: Zheng, Xue Xian, Al-Naffouri, Tareq
Formato: Preprint
Publicado: 2024
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author Zheng, Xue Xian
Al-Naffouri, Tareq
author_facet Zheng, Xue Xian
Al-Naffouri, Tareq
contents This work introduces an error feedback approach for reducing quantization noise of distributed graph filters. It comes from error spectrum shaping techniques from state-space digital filters, and therefore establishes connections between quantized filtering processes over different domains. Quantization noise expression incorporating error feedback for finite impulse response (FIR) and autoregressive moving average (ARMA) graph filters are both derived with regard to time-invariant and time-varying graph topologies. Theoretical analysis is provided, and closed-form error weight coefficients are found. Numerical experiments demonstrate the effectiveness of the proposed method in noise reduction for the graph filters regardless of the deterministic and random graph topologies.
format Preprint
id arxiv_https___arxiv_org_abs_2412_05651
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Error Feedback Approach for Quantization Noise Reduction of Distributed Graph Filters
Zheng, Xue Xian
Al-Naffouri, Tareq
Systems and Control
This work introduces an error feedback approach for reducing quantization noise of distributed graph filters. It comes from error spectrum shaping techniques from state-space digital filters, and therefore establishes connections between quantized filtering processes over different domains. Quantization noise expression incorporating error feedback for finite impulse response (FIR) and autoregressive moving average (ARMA) graph filters are both derived with regard to time-invariant and time-varying graph topologies. Theoretical analysis is provided, and closed-form error weight coefficients are found. Numerical experiments demonstrate the effectiveness of the proposed method in noise reduction for the graph filters regardless of the deterministic and random graph topologies.
title Error Feedback Approach for Quantization Noise Reduction of Distributed Graph Filters
topic Systems and Control
url https://arxiv.org/abs/2412.05651