雑音からナノスケール信号を抽出(Finding Clarity in the Noise: A New Way to Recover Hidden Signals at the Nanoscale)

2025-08-07 ジョージア工科大学

ジョージア工科大学の研究チームは、ナノスケールでの計測においてノイズに埋もれた信号を高精度に復元する手法を開発した。ピエゾ応答力顕微鏡(PFM)の低SNR測定で、物理モデリングと統計的再構成を組み合わせ、Bayesian matrix completion(BayeSMG)により振幅・位相・周波数・減衰などの相関情報を保持したまま信号を再構築。従来法で生じるアーティファクトを排除し、不確実性の推定も可能にした。鉛酸化物-チタン酸化物材料での応用では、極性挙動の理解が向上し、センサーやアクチュエータなどへの展開が期待される。

<関連情報>

藁の中の針:低信号対雑音比ピエゾ応答力顕微鏡データからの情報回復 Needle in a Haystack: Information Recovery in Low Signal-to-Noise Piezoresponse Force Microscopy Data

Kerisha N. Williams, Henry Shaowu Yuchi, Gardy Kevin Ligonde, Mathew Repasky, Yao Xie, Nazanin Bassiri-Gharb
Small Methods  Published: 07 August 2025
DOI:https://doi.org/10.1002/smtd.202500318

Graphical Abstract

Reconstruction of low signal-to-noise ratio signals enables improved information recovery in piezoresponse force microscopy data, even in data with a substantial amount of noise. Incorporating signal processing errors to detect and Bayesian matrix completion methods to reconstruct low SNR signals substantially alters the apparent PFM switching responses in comparison to traditional interpolation methods in a relaxor-ferroelectric single crystal.

雑音からナノスケール信号を抽出(Finding Clarity in the Noise: A New Way to Recover Hidden Signals at the Nanoscale)

Abstract

Piezoresponse force microscopy (PFM) is a scanning probe microscopy (SPM)-based technique used to evaluate the nanoscale surface displacement developed in response to an applied electric voltage. PFM is routinely used to investigate the nanoscale functional response of ferroelectric materials: the piezoelectric response is dependent on the dielectric polarization and modification of the polarization state can result in measurable changes in the PFM signal. However, low signal-to-noise ratio (SNR) data is unavoidable, as both the response at domain walls, or at switching of the polarization, i.e., when polarization is extremely small or null, would result in limited or null piezoelectric strain. Given the importance of these features in understanding ferroelectric materials and their behavior, low SNR results can lead to unreliable information extraction, hampering the understanding of the material characteristics. Here, an information recovery framework is proposed, utilizing a Bayesian subspace-based matrix completion model, to improve the quality of extracted PFM parameters. The proposed framework enables efficient recovery and extraction of reliable information and provides valuable insights for characterization and experimentation practices. The recovery framework can also be applied to other functional SPM-based characterization techniques or any material characterization technique where low SNR data are expected within a series of correlated measurements.

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