System and method of extraction of nonstationary sinusoids
AssigneeBio-Logic Systems Corporation
InventorAlireza K. Ziarani
Life of this patent
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Abstract
Signal processing techniques and systems and, in particular, an apparatus, system, algorithm and method of extraction of sinusoidal signals of time-varying nature is described. The apparatus, system, algorithm and method provide for extraction of a specified single sinusoidal component of an input signal, potentially containing other components and noise, and tracking variations of the amplitude, phase and frequency of such a sinusoid component over time. A “tool” or “core unit,” embodying the apparatus, system, algorithm or method may be used in isolation or as the fundamental building block of single-core or multi-core systems.
Claims40
A method of extraction of at least one sinusoidal component of an input signal, comprising the steps of
- estimation of the amplitude of said sinusoidal component of said input signal;
- estimation of the frequency of said sinusoidal component of said input signal;
- estimation of the total phase of said sinusoidal component of said input signal;
- synthesization of said sinusoidal component of said input signal;
- and
- estimation of an error signal representing the difference between said input signal and said sinusoidal component of said input signal by the use of a first subtraction, wherein:
- the sinusoidal component of the input signal is the desired component of the input signal to which convergence is sought and specification of which is accomplished by predetermination of its frequency, and
- the error signal is the totality of the undesired components present in said input signal.
A system for the extraction of at least one sinusoidal component of an input signal, comprising:
- (a) estimation means for estimation of the amplitude of the sinusoidal component of the input signal by a first integration of a first product of an error signal and a sine, or a cosine, of the total phase of the sinusoidal component of the input signal, scaled by a first scaling factor,
- (b) estimation means for estimation of the frequency of the sinusoidal component of the input signal by a second integration of a second product of the error signal, the amplitude of the sinusoidal component of the input signal, and a cosine, or a sine, of the total phase of the sinusoidal component of the input signal, scaled by a second scaling factor;
- (c) estimation means for estimation of the total phase of the sinusoidal component of the input signal by a third integration of a summation of the frequency of the sinusoidal component of the input signal and scaled by a third scaling factor of time-derivative of the frequency of the sinusoidal component of the input signal;
- (d) means for synthesization of the sinusoidal component of the input signal by a third product of the sine, or the cosine, of the total phase of the sinusoidal component of the input signal and the amplitude of the sinusoidal component of the input signal;
- and
- (e) estimation means for estimation of the error signal representing the difference between the input signal and the sinusoidal component of the input signal by a first subtraction.
An audiometer comprising:
- a probe operable to detect a signal responsive to a stimulus signal communicated to a testing subject;
- a signal processing unit coupled to the probe for receiving the signal, the signal processor programmed to:
- estimate the amplitude of said sinusoidal component of said received signal;
- estimate the frequency of said sinusoidal component of said received signal;
- estimate the total phase of said sinusoidal component of said received signal;
- synthesize said sinusoidal component of said received signal;
- and
- estimate an error signal representing the difference between said received signal and said sinusoidal component of said received signal by the use of a first subtraction, wherein:
- the sinusoidal component of the received signal is the desired component of the received signal to which convergence is sought and specification of which is accomplished by predetermination of its frequency, and
- the error signal is the totality of the undesired components present in said received signal.
Dependencies are inferred from the claim text.