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Analytical expressions of the task\u2010based DQE and task\u2010independent DQE of SXDs have been presented in the literature, but standardizable experimental methods for measuring them have not. The task\u2010based DQE quantifies the efficiency with which an SXD uses the x\u2010ray quanta incident upon it to either quantify or detect a basis material (e.g., soft tissue or bone) of interest. The task\u2010independent DQE is akin to the conventional DQE in that it is independent of the basis material to be detected or\u00a0quantified.<\/jats:p><\/jats:sec><jats:sec><jats:title>Purpose<\/jats:title><jats:p>The purpose of this paper is to develop an experimental framework to present a method for experimental analysis of the DQE of SXDs, including the task\u2010based DQE and task\u2010independent\u00a0DQE.<\/jats:p><\/jats:sec><jats:sec><jats:title>Methods<\/jats:title><jats:p>We develop methods to measure the frequency\u2010dependent DQE for task of quantifying or detecting a perturbation in a known basis material. We also develop methods for measuring a task\u2010independent DQE. We show that the task\u2010based DQEs and the task\u2010independent DQE can be measured using a modest extension of the methods prescribed by International Electrotechnical Commission (IEC). Specifically, measuring the task\u2010independent DQE requires measuring the modulation transfer function (MTF) and noise power spectrum (NPS) of each energy\u2010bin image, in addition to the cross NPS between energy\u2010bin images. Measuring the task\u2010based DQEs requires an additional measurement of the transmission fraction through a thin basis\u2010material absorber. We implemented the developed methods using standardized IEC x\u2010ray spectra, aluminum (Al) and polymethyl methacrylyte (PMMA) basis materials, and a cadmium telluride (CdTe) SXD equipped with two energy bins and analog charge summing (ACS) for charge\u2010sharing suppression. We also performed a regression analysis to determine whether or not the task\u2010independent DQE is predictive of the task\u2010based\u00a0DQEs.<\/jats:p><\/jats:sec><jats:sec><jats:title>Results<\/jats:title><jats:p>Experimental results of the task\u2010based DQEs were consistent with simulation results presented in the literature. In general, and as expected, ACS increased the task\u2010based DQEs and task\u2010independent DQE. This effect was most pronounced for quantification tasks, in some instances yielding a five\u2010fold increase in the DQE. For both spectra, with and without ACS for charge sharing correction, the task\u2010based DQEs were linearly related to the task\u2010independent DQE, as demonstrated by <jats:italic>R<\/jats:italic><jats:sup>2<\/jats:sup>\u2010values ranging from 0.89 to 1.00.<\/jats:p><\/jats:sec><jats:sec><jats:title>Conclusions<\/jats:title><jats:p>We have extended experimental DQE analysis to SXDs that count photons in multiple energy bins in a single x\u2010ray exposure. The developed framework is an extension of existing IEC methods, and provides a standardized approach to assessing the performance of\u00a0SXDs.<\/jats:p><\/jats:sec>","DOI":"10.1002\/mp.16114","type":"journal-article","created":{"date-parts":[[2022,12,8]],"date-time":"2022-12-08T15:24:36Z","timestamp":1670513076000},"page":"1318-1335","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["An experimental framework for assessing the detective quantum efficiency of spectroscopic x\u2010ray detectors"],"prefix":"10.1002","volume":"50","author":[{"given":"Nikta","family":"Zarif Yussefian","sequence":"first","affiliation":[{"name":"Department of Physics Toronto Metropolitan University  Toronto ON Canada"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jesse","family":"Tanguay","sequence":"additional","affiliation":[{"name":"Department of Physics Toronto Metropolitan University  Toronto ON Canada"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2023,1,11]]},"reference":[{"key":"e_1_2_8_2_1","doi-asserted-by":"publisher","DOI":"10.1109\/23.958392"},{"key":"e_1_2_8_3_1","doi-asserted-by":"publisher","DOI":"10.1109\/TNS.2004.832324"},{"key":"e_1_2_8_4_1","doi-asserted-by":"publisher","DOI":"10.1118\/1.1854779"},{"key":"e_1_2_8_5_1","doi-asserted-by":"publisher","DOI":"10.1088\/0031-9155\/52\/15\/020"},{"key":"e_1_2_8_6_1","doi-asserted-by":"publisher","DOI":"10.1088\/0031-9155\/53\/15\/002"},{"key":"e_1_2_8_7_1","doi-asserted-by":"publisher","DOI":"10.1148\/radiol.2492080560"},{"key":"e_1_2_8_8_1","doi-asserted-by":"publisher","DOI":"10.1118\/1.3653195"},{"key":"e_1_2_8_9_1","doi-asserted-by":"publisher","DOI":"10.1109\/TMI.2014.2360932"},{"key":"e_1_2_8_10_1","doi-asserted-by":"publisher","DOI":"10.1002\/mp.13668"},{"key":"e_1_2_8_11_1","doi-asserted-by":"publisher","DOI":"10.1088\/1748-0221\/15\/10\/P10029"},{"key":"e_1_2_8_12_1","doi-asserted-by":"publisher","DOI":"10.1117\/1.JMI.7.3.033502"},{"key":"e_1_2_8_13_1","doi-asserted-by":"publisher","DOI":"10.1088\/1361\u20106560\/abc5a5"},{"key":"e_1_2_8_14_1","doi-asserted-by":"publisher","DOI":"10.1002\/mp.13172"},{"key":"e_1_2_8_15_1","doi-asserted-by":"publisher","DOI":"10.1117\/1.JMI.7.4.043501"},{"key":"e_1_2_8_16_1","doi-asserted-by":"publisher","DOI":"10.1002\/mp.13889"},{"key":"e_1_2_8_17_1","doi-asserted-by":"publisher","DOI":"10.1002\/mp.15194"},{"key":"e_1_2_8_18_1","unstructured":"International Electrotechnical Commission.IEC 622201: Medical Electrical Equipment\u2014Characteristics of Digital X\u2010ray Imaging Devices. 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