The joint optimization method of the graph filter design: the vertex sampling and the integration method

Bin Cui; Lingfei Cheng

doi:10.1117/12.3022987

28 March 2024 The joint optimization method of the graph filter design: the vertex sampling and the integration method

Bin Cui, Lingfei Cheng

Proceedings Volume 13091, Fifteenth International Conference on Signal Processing Systems (ICSPS 2023); 130910E (2024) https://doi.org/10.1117/12.3022987
Event: Fifteenth International Conference on Signal Processing Systems (ICSPS 2023), 2023, Xi’an, China

Abstract

This article proposes and designs a new type of joint graph filter, which is based on the design of two commonly used general filters, that is, the vertex sampling method and the sum-of-squares integration method. A joint optimization of the graph filter is proposed to organically combine the two methods, and redesign the graph filter coefficients. This method can reflect the advantages of both design methods, thereby obtaining a more stable and smoother graph filter. The obtained filter can effectively control the noise amplitude and the ripple amplitude of the cutoff band of the graph filter in the initial phase of the response. This article demonstrates through theoretical analysis and numerical experiments that this method outperforms the basic method in designing the desired graph filter in terms of frequency response.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Bin Cui and Lingfei Cheng "The joint optimization method of the graph filter design: the vertex sampling and the integration method", Proc. SPIE 13091, Fifteenth International Conference on Signal Processing Systems (ICSPS 2023), 130910E (28 March 2024); https://doi.org/10.1117/12.3022987

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