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具有谐波鲁棒性的广义最小二乘相移算法的频谱分析。

Spectral analysis for the generalized least squares phase-shifting algorithms with harmonic robustness.

作者信息

Ordones Sotero, Servin Manuel, Padilla Moises, Muñoz Antonio, Flores Jorge L, Choque Ivan

出版信息

Opt Lett. 2019 May 1;44(9):2358-2361. doi: 10.1364/OL.44.002358.

DOI:10.1364/OL.44.002358
PMID:31042223
Abstract

We introduce the frequency transfer function (FTF) formalism for generalized least squares phase-shifting algorithms (GLS-PSAs), whose phase shifts are nonuniformly spaced. The GLS-PSA's impulsive response is found by computing the Moore-Penrose pseudoinverse. FTF theory allows analyzing these GLS-PSAs spectrally, as well as easily finding figures of merit such as signal-to-noise ratio (SNR) and harmonic rejection capabilities. We show simulations depicting that the SNR slightly decreases as the harmonic rejection robustness improves.

摘要

我们介绍了用于广义最小二乘相移算法(GLS-PSAs)的频率传递函数(FTF)形式,该算法的相移是非均匀分布的。通过计算摩尔-彭罗斯伪逆来找到GLS-PSA的脉冲响应。FTF理论允许对这些GLS-PSAs进行频谱分析,并轻松找到诸如信噪比(SNR)和谐波抑制能力等品质因数。我们展示的仿真表明,随着谐波抑制鲁棒性的提高,SNR会略有下降。

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