Apparatus And Method For System Identification
First Claim
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1. A down-conversion method for analyzing light emissions from a luminescent sample comprising the following steps:
- a. generating excitation light from an excitation signal;
b. passing the excitation light through a sample;
c. detecting the luminescent light after it passes through the sample to provide a detector signal;
d. reducing the frequencies of the excitation and detector signals by mixing those signals with at least one other signal;
e. filtering those mixed signals with linear second-order IIR filters applying at least a portion of a modified Goertzel algorithm to the mixed signals;
f. determining a phase shift between the excitation signal and the detector signal.
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Abstract
Methods and apparatus for system identification operate by computing phase and amplitude using linear filters. By digitally processing the linearly filtered signals or data, the phase and amplitude based on measurements of the input and output of a system, are determined.
28 Citations
33 Claims
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1. A down-conversion method for analyzing light emissions from a luminescent sample comprising the following steps:
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a. generating excitation light from an excitation signal; b. passing the excitation light through a sample; c. detecting the luminescent light after it passes through the sample to provide a detector signal; d. reducing the frequencies of the excitation and detector signals by mixing those signals with at least one other signal; e. filtering those mixed signals with linear second-order IIR filters applying at least a portion of a modified Goertzel algorithm to the mixed signals; f. determining a phase shift between the excitation signal and the detector signal. - View Dependent Claims (2, 3, 4)
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5. A down-conversion method for analyzing light emissions from a luminescent sample comprising the following steps:
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a. generating an analog excitation signal with a frequency greater than the Nyquist frequency of an excitation ADC; b. reducing the frequency of the analog excitation signal below the Nyquist frequency; c. converting the reduced analog excitation signal to a reduced digital excitation signal using the excitation ADC; d. processing the reduced digital excitation signal to determine a first phase shift, e. generating an analog detection signal in a system for creating and measuring with luminescent light, the signal having a frequency greater than the detection Nyquist frequency of a detection ADC; f. reducing the frequency of the analog detection signal below the detection Nyquist frequency; g. converting the reduced analog detection signal to a reduced digital detection signal using the detection ADC; h. processing the digital detection signal to determine a second phase shift, i. subtracting the first phase shift from the second phase shift to compute a phase difference caused by the luminescent sample. - View Dependent Claims (6, 7, 8)
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9. A down-conversion method for analyzing light emissions from a luminescent sample comprising the following steps:
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a. providing an excitation signal to an excitation light source; b. providing excitation light to a luminescent sample; c. detecting emitted luminescence from the luminescent sample; d. converting the emitted luminescence into a detector signal; e. mixing the detector signal with a mixer signal; f. mixing the excitation signal with the mixer signal; g. filtering the mixed signals to remove high-frequency components; h. processing the filtered signals with linear second-order digital IIR filters applying at least a portion of a modified Goertzel algorithm; and i. transforming the linearly-filtered signals using control logic to compute for each signal real portions and imaginary portions to determine the phase shift between the excitation light and the emitted luminescence. - View Dependent Claims (10, 11, 12, 13)
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14. A down-conversion method for analyzing light emissions from a luminescent sample comprising the following steps:
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a. providing an excitation signal to an excitation light source; b. providing excitation light to a luminescent sample; c. detecting luminescence emitted from the luminescent sample; d. converting the emitted luminescence into a detector signal; e. combining the detector signal with a mixer signal to form a mixed-detector signal; f. combining the excitation signal with the mixer signal to form a mixed-detector signal; g. filtering the mixed-detector and mixed-excitation signals to remove high-frequency components; h. processing the filtered signals with linear second-order digital IIR filters applying at least a portion of a modified Goertzel algorithm; i. transforming the linearly-filtered signals using control logic to compute for each signal real portions and imaginary portions to determine a detector phase shift between the detector signal and the excitation signal; j. providing reference light to the luminescent sample; k. detecting reference light emitted from the luminescent sample; l. converting the emitted luminescence into a reference signal; m. combining the reference signal with the mixer signal to form a mixed-reference signal; n. filtering the mixed-reference and mixed-excitation signals to remove high-frequency components; o. processing the filtered signals with the linear second-order digital IIR filters applying at least a portion of the modified Goertzel algorithm; p. transforming the linearly-filtered signals using control logic to compute for each signal real portions and imaginary portions to determine a reference phase shift between the reference signal and the excitation signal ; and q. subtracting the detector phase shift from the reference phase shift to determine the phase difference between the excitation light and the emitted luminescence. - View Dependent Claims (15, 16, 17)
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18. A down-converting apparatus for analyzing light emissions from a luminescent sample, comprising:
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a. a source of a signal configured to excite a system for generating luminescent light; b. a detector configured to generate a signal representing the system output; c. mixers to reduce the frequencies of the source and signal outputs; d. linear second-order IIR filters for applying at least a portion of a modified Goertzel algorithm to the mixer signals; e. a processor programmed to determine a phase shift between the excitation signal and the detector signal. - View Dependent Claims (19, 20, 21)
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22. A down-converting apparatus for analyzing light emissions from a luminescent sample, comprising:
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a. A pulse width modulation unit configured to provide a digital excitation signal to a system for determining phase shift, b. an excitation mixer connected to the excitation ADC and configured to provide the excitation ADC with a mixer signal having a frequency that is below the Nyquist limit; c. an excitation signal source connected to the excitation mixer and having a frequency greater than the Nyquist frequency; d. a detector configured to generate a detector signal based on the output of a luminescent probe and having a frequency above a detector Nyquist limit of a detector ADC that is configured to provide a digital detector signal to a system for determining phase shift, e. a detector mixer connected to the detector and configured to provide the detector ADC with a mixer signal having a frequency that is below the Nyquist limit. - View Dependent Claims (23, 24)
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25. A down-converting apparatus for measuring luminescent light comprising:
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a. an excitation light source configured to receive an excitation signal and transfer excitation light to a fluid medium; b. a luminescent probe configured to transfer emission light in response to the excitation light; c. a detector system configured to detect the emission light and generate a detector signal corresponding to the emission light; d. a detector mixer configured to combine the detector signal with a mixer signal to create a mixed-detector signal; e. an excitation mixer configured to combine the excitation signal with the mixer signal to create a mixed-excitation signal; f low-pass filters configured to remove high-frequency components from the outputs of the mixers; g. linear second-order IIR filters for applying at least a portion of a modified Goertzel algorithm to the filtered signals; h. a processor programmed to transform the linearly filtered signals using control logic to compute for each signal a real portion and imaginary portion and to determine a phase shift between the excitation light and the emission light. - View Dependent Claims (26, 27, 28, 29)
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30. A down-converting apparatus for analyzing light emissions from a luminescent sample, comprising:
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a. a luminescent sample comprising first and second surfaces that emanates luminescent light in response to excitation light and reference light in response to reference light; an excitation light source opposed to the first surface so that luminescent light emanates from the luminescent sample in response to an excitation signal; c. a reference light source opposed to one surface so that reference light emanates from the luminescent sample in response to the excitation signal; d. a switch configured to pass the excitation signal to only one of the light sources; e. a detector of luminescent and reference light opposed to one surface so that luminescent light and reference light are detected depending on the position of the switch, the detector generating a detector signal; f. a detector mixer configured to combine the detector signal with a mixer signal; g. an excitation mixer configured to combine the excitation signal with the mixer signal; h. low-pass filters configured to remove high-frequency components from the outputs of the mixers; i. filters connected to the low-pass filters, the filters being linear second-order digital IIR filter applying at least a portion of a modified Goertzel algorithm; j. control logic connected to the filters that computes (1) real and imaginary portions of the filter outputs corresponding to the luminescent light and then a first phase shift based on those portions; (2) real and imaginary portions of the filter outputs corresponding to the reference light and then a second phase shift based on those portions; k. a subtractor connected to the control logic that subtracts the first phase shift from the second phase shift to determine the phase difference between the excitation light and the luminescence light. - View Dependent Claims (31, 32, 33)
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Specification