Method and apparatus for resolving piled-up pulses by using a mathematical transform
First Claim
1. A method for resolving individual signals in detector output data, comprising:
- obtaining or expressing the detector output data as a digital series;
obtaining or determining a signal shape of signals present in the output data;
forming a transformed signal shape by transforming the signal shape according to a mathematical transform;
forming a transformed series by transforming the digital series according to the mathematical transform, said transformed series comprising transformed signals;
evaluating a function of at least the transformed series and the transformed signal shape and thereby providing a function output;
determining at least one parameter of the function output based on a model of the function output; and
determining a parameter of the signals from the at least one determined parameter of the function output.
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Abstract
A method and apparatus for resolving individual signals in detector output data, the method comprising obtaining or expressing the detector output data as a digital series, obtaining or determining a signal form of signals present in the data, forming a transformed signal form by transforming the signal form according to a mathematical transform, forming a transformed series by transforming the digital series according to the mathematical transform, the transformed series comprising transformed signals, evaluating a function of at least the transformed series and the transformed signal form and thereby providing a function output, determining at least one parameter of the function output based on a model of the function output, and determining a parameter of the signals from the at least one determined parameter of the function output. The method may include forming the model by modelling the function output.
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Citations
20 Claims
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1. A method for resolving individual signals in detector output data, comprising:
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obtaining or expressing the detector output data as a digital series; obtaining or determining a signal shape of signals present in the output data; forming a transformed signal shape by transforming the signal shape according to a mathematical transform; forming a transformed series by transforming the digital series according to the mathematical transform, said transformed series comprising transformed signals; evaluating a function of at least the transformed series and the transformed signal shape and thereby providing a function output; determining at least one parameter of the function output based on a model of the function output; and determining a parameter of the signals from the at least one determined parameter of the function output. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17)
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18. An apparatus for resolving individual signals in detector output data, the apparatus comprising a processor configured to:
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obtain a signal form characterizing the detector; obtain digitized detector output data in a form of a digital time series; make parameter estimates of one or more parameters of at least one signal present in the detector output data, wherein the one or more parameters comprise at least a signal temporal position of the at least one signal; and determine the amplitude of the at least one signal based on a mathematical model, the amplitude being indicative of an event; wherein the mathematical model is based on the digital time series and a function of at least the signal form, the temporal position of the at least one signal, and the amplitude of the at least one signal, and said apparatus is provided in or constitutes; a sonic pulse, sound or seismic detector, a vibration detector, biological assay apparatus, a nucleic acid sequencing system, a radar system, a reflection seismology system, or a semiconductor analysis system. - View Dependent Claims (19)
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20. A method of resolving individual signals in detector output data, the method comprising:
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obtaining a signal form characterizing the detector; obtaining digitized detector output data in a form of a digital time series; making parameter estimates of one or more parameters of at least one signal present in the detector output data, wherein the one or more parameters comprise at least a signal temporal position of the at least one signal; and determining the amplitude of the at least one signal based on said mathematical model, the amplitude being indicative of an event; wherein the mathematical model is based on the digital time series and a function of at least the signal form, the temporal position of the at least one signal, and the amplitude of the at least one signal; and wherein said method is employed in or with a sonic pulse, sound or seismic detector, a vibration detector, a biological assay apparatus, a nucleic acid sequencing system, a radar system, a reflection seismology system, or a semiconductor analysis system.
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Specification