System and method for signal processing using fractal dimension analysis
View Patent ↗A system and method of signal processing using linear or non-linear signal transformation and fractal dimension based analysis. Using a transform process (i.e. wavelet transform, Fourier transform, ICA transform, etc.), a signal is decomposed into a series of coefficients or components. Within this transform domain, fractal dimensions of the components are computed. The components with fractal dimensions higher than a pre-determined threshold are then selectively processed. A modified signal is reconstructed using inverse transform of the signal components.
1. A method for processing an acquired signal, comprising the steps of:
providing a signal acquisition device configured to interface with one or more signal sources;
providing a signal processing device operatively connected to the signal acquisition device, the signal processing device comprising a processor configured to perform the steps of:
i. transforming the signal into a plurality of signal coefficients;
ii. computing fractal dimension of the coefficients;
iii. identifying unwanted coefficients based on their fractal dimension;
iv. automatically thresholding the identified unwanted coefficients;
v. reconstructing a modified signal using inverse transform.
2. The method as recited in claim 1 , wherein the step of signal transformation is linear.
3. The method as recited in claim 1 , wherein the step of signal transformation is non-linear.
4. The method as recited in claim 1 , wherein the step of identifying unwanted components is performed automatically and requires no user intervention.
5. The method as recited in claim 1 , wherein the step of automatic thresholding is performed on signal coefficients having a fractal dimension higher or lower than a threshold value.
6. The method as recited in claim 5 , wherein the threshold value is predetermined.
7. The method as recited in claim 5 , wherein the thresholding is a non-linear process.
8. The method as recited in claim 5 , wherein the thresholding comprises removing or re-scaling the signal coefficients having a fractal dimension higher or lower than the threshold value.
9. The method of claim 8 , wherein the step of reconstructing a modified signal is performed using inverse transform of intact coefficients and the re-scaled coefficients.
10. The method as recited in claim 1 , further comprising the step of automatically forwarding the modified signal for further signal analysis.
11. A system for signal processing, the system comprising:
means for acquiring signals from one or more signal sources;
means for transmitting the acquired signals for signal processing;
means for signal transformation to deconstruct the signal into its coefficients;
means for computing the fractal dimension of the coefficients;
means for automatically thresholding the coefficients with fractal dimensions higher or lower than a predetermined threshold value; and
means for reconstructing a modified signal using inverse transform of intact and threshold coefficients.
12. The system as recited in claim 11 , wherein the means for signal transformation is linear.
13. The system as recited in claim 11 , wherein the means for signal transformation is non-linear.
14. The system as recited in claim 11 , wherein the means for signal removing or re-scaling the coefficients with fractal dimensions higher or lower than the predetermined threshold value.