System and method for processing low signal-to-noise ratio signals
First Claim
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1. A method of real-time signal processing, the method comprising:
- acquiring an analog signal, wherein said analog signal comprises a time-varying acoustic signal or a time-varying physiological signal;
setting;
an initial state of a digital model of an expected signal; and
an initial error variance between said initial state of the digital model and a digital representation of the analog signal;
calculating a plurality of estimates of the state of said digital model, each of said plurality of estimates corresponding to a point in time, as follows;
for each point in time, calculating;
a filter gain for the point in time, the filter gain comprising a function of;
the initial error variance or prediction of the error variance;
the relationship between the digital model and a measurement of an output signal; and
a decay factor;
an improved estimate of the state of said expected signal for the point in time based on said calculated filter gain, a prediction of the state of said expected signal for the point in time and on an observation of said analog signal;
an update of the estimate of the error variance for the point in time based on said calculated filter gain; and
a prediction of the state of said expected signal and a prediction of the error variance for the next point in time;
processing said analog signal according to the digital model to generate the output signal, the output signal comprising a processed signal representing the time-varying acoustic signal or the time-varying physiological signal having an improved signal-to-noise ratio; and
outputting the processed signal in order to analyze a physiological response.
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Abstract
A system and method for use in a real time system and for processing a signal with a low signal-to-noise ratio (SNR). The system comprises a model for modeling an expected signal and a filter that uses the model for filtering the signal. The filter is used for generating a prediction of the signal and an error variance matrix. The system further comprises an adaptive element for modifying the error variance matrix such that the bandwidth of the filter is widened, wherein the filter behaves like an adaptive filter.
29 Citations
20 Claims
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1. A method of real-time signal processing, the method comprising:
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acquiring an analog signal, wherein said analog signal comprises a time-varying acoustic signal or a time-varying physiological signal; setting; an initial state of a digital model of an expected signal; and an initial error variance between said initial state of the digital model and a digital representation of the analog signal; calculating a plurality of estimates of the state of said digital model, each of said plurality of estimates corresponding to a point in time, as follows; for each point in time, calculating; a filter gain for the point in time, the filter gain comprising a function of; the initial error variance or prediction of the error variance; the relationship between the digital model and a measurement of an output signal; and a decay factor; an improved estimate of the state of said expected signal for the point in time based on said calculated filter gain, a prediction of the state of said expected signal for the point in time and on an observation of said analog signal; an update of the estimate of the error variance for the point in time based on said calculated filter gain; and a prediction of the state of said expected signal and a prediction of the error variance for the next point in time; processing said analog signal according to the digital model to generate the output signal, the output signal comprising a processed signal representing the time-varying acoustic signal or the time-varying physiological signal having an improved signal-to-noise ratio; and outputting the processed signal in order to analyze a physiological response. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13)
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14. A system for real-time signal processing, said system adapted to:
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acquire an analog signal, wherein said analog signal comprises a time-varying acoustic signal or a time-varying physiological signal; set; an initial state of a digital model of an expected signal; and an initial error variance between said initial state of the digital model and a digital representation of said analog signal; calculate a plurality of estimates of the state of said digital model, each of said plurality of estimates corresponding to a point in time, as follows; for each point in time, calculate; a filter gain for the point in time comprising a function of; the initial setting or prediction of the error variance; the relationship between the digital model of the expected signal and a measurement of an output signal; and a decay factor; an improved estimate of the state of said expected signal for the point in time based on said calculated filter gain, a prediction of the state of said expected signal for the point in time and on an observation of said analog signal; an update of the estimate of the error variance for the point in time based on said calculated filter gain; and a prediction of the state of said expected signal and a prediction of the error variance for the next point in time; filter said analog signal according to the digital model to generate the output signal, the output signal comprising a processed signal representing the time-varying acoustic signal or the time-varying physiological signal having an improved signal-to-noise ratio; and output the processed signal in order to analyze a physiological response. - View Dependent Claims (15, 16, 17, 18, 19)
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20. A method of real-time signal processing, the method comprising:
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acquiring a physiological signal, wherein said physiological signal comprises a time-varying acoustic signal or a time-varying physiological signal generated in response to a stimulus; setting; an initial state of a digital model of an expected signal; and an initial error variance between the initial state of the digital model and a digital representation of said physiological signal; calculating a plurality of estimates of the state of the digital model, each of the plurality of estimates corresponding to a point in time, as follows; for each point in time, calculating; a filter gain for the point in time comprising a function of; the initial setting or prediction of the error variance; the relationship between the digital model of the expected signal and a measurement of an output signal; and a decay factor; an improved estimate of the state of the expected signal for the point in time based on the calculated filter gain, a prediction of the state of the expected signal for the point in time and on an observation of said physiological signal; an update of the estimate of the error variance for the point in time based on the calculated filter gain; and a prediction of the state of the expected signal and a prediction of the error variance for the next point in time; processing said physiological signal according to the digital model to generate the output signal, the output signal comprising a processed signal representing the time-varying acoustic signal or the time-varying physiological signal generated in response to a stimulus having an improved signal-to-noise ratio; and outputting the processed signal in order to analyze a physiological response to the stimulus.
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Specification