An experimental method to directly measure DQE[Formula: see text] at k  =  0 for 2D x-ray imaging systems

一种直接测量二维X射线成像系统在k=0处DQE[公式:见正文]的实验方法

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Abstract

The zero-frequency detective quantum efficiency (DQE), viz., DQE(0), is defined as the ratio between output and input squared signal-to-noise ratio of an imaging system. In 1963, R. Shaw applied Fourier analysis to generalize DQE(0) to the frequency-dependent DQE, i.e. DQE[Formula: see text]. Under conditions specified by Shaw, DQE[Formula: see text] is the same as DQE(0) at k  =  0. The experimental measurement of DQE[Formula: see text] involves the measurement of system modulation transfer function (MTF) and noise power spectrum (NPS). Although the measurement of MTF is straightforward, the experimental measurements of NPS[Formula: see text] encountered several challenges. As a result, some experimental methods may yield a nonphysical NPS value at k  =  0, which makes the measured DQE(k)| (k=0) deviate from the true zero-frequency DQE. This work presents new results from three aspects: 1) system drift is a significant error source when a large number of independent image acquisitions are involved in measuring NPS and DQE; 2) a cascaded systems analysis shows that the drift induces a global positive offset to the measured autocovariance function, and the offset is quantitatively related to the NPS error at k  =  0; 3) based on the measured autocovariance data, drift-induced offset can be estimated, so that errors in the measured NPS(k)| (k=0) and DQE(k)| (k=0) can be corrected. Both numerical simulations with known ground truth for DQE(0) and experimental studies were performed to validate the proposed measurement method. The results demonstrated that the method mitigates the undesirable influence of system drift in DQE(k)| (k=0) and DQE(0), allowing the measured values consistent with the classical definition of zero-frequency DQE.

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