System and Method For Signal Denoising Using Independent Component Analysis and Fractal Dimension Estimation
First Claim
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1. A method for signal denoising, comprising the steps of:
- i. decomposing the signal into a plurality of independent signal components using a signal transform;
ii. computing fractal dimensions of the components in the transform domain;
iii. identifying noise components based on their fractal dimensions;
iv. modifying the identified noise components;
V. reconstructing a denoised signal using inverse transform.
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Abstract
A system and method of signal denoising using Independent Component Analysis (ICA) and fractal dimension analysis of the signal components in the ICA domain is described. The signal components with fractal dimensions higher than a pre-determined threshold are automatically attenuated or canceled in order to alleviate the noise in the signal. The denoised signal is reconstructed using inverse ICA transform of the signal components.
37 Citations
25 Claims
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1. A method for signal denoising, comprising the steps of:
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i. decomposing the signal into a plurality of independent signal components using a signal transform; ii. computing fractal dimensions of the components in the transform domain; iii. identifying noise components based on their fractal dimensions; iv. modifying the identified noise components; V. reconstructing a denoised signal using inverse transform. - View Dependent Claims (2, 3, 4, 5, 6, 7)
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8. A system for denoising a signal, the system comprising a processor configured for:
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i. transforming the signal into a plurality of independent signal components; ii. measuring the fractal dimensions of the components; iii. processing the components with fractal dimensions higher than a predetermined value; and iv. reconstructing a denoised signal using inverse transform. - View Dependent Claims (9, 10, 11, 12, 13, 14)
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15. A system for denoising brain electrical signals, the system comprising a processor configured for:
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i. separating the signals into a plurality of independent signal sources/components using Independent Component Analysis; ii. measuring the fractal dimensions of the components; iii. automatically attenuating the components with fractal dimensions higher than a predetermined value; and iv. reconstructing a denoised signal using inverse ICA transform of the attenuated and intact components.
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16. An apparatus for acquiring and denoising brain electrical signals of a subject, comprising:
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a headset comprising at least one electrode; a base unit;
whereinsaid base unit further comprises a processor configured to utilize one or more operating instructions to perform denoising of the received signal using Independent Component Analysis and fractal dimension analysis. - View Dependent Claims (17, 18, 19, 20, 21, 22, 23, 24, 25)
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Specification