Fast wavelet estimation of weak bio-signals using novel algorithms for generating multiple additional data frames
First Claim
1. A signal de-noiser, said signal de-noiser comprising a processor configured to process a plurality of 2N frames of sampled data comprising the signal, said processor being further configured to(a) perform a discrete wavelet transform operation on each of said sampled data frames to thereby create a corresponding frame of wavelet coefficients;
- (b) iteratively (i) construct a plurality of frames of wavelet coefficients; and
(ii) de-noise each constructed plurality of frames of wavelet coefficients;
(d) combine the final plurality of frames of wavelet coefficients into a final frame of wavelet coefficients; and
(e) inverse discrete wavelet transform said final frame of wavelet coefficients.
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Accused Products
Abstract
A method and apparatus for de-noising weak bio-signals having a relatively low signal to noise ratio utilizes an iterative process of wavelet de-noising a data set comprised of a new set of frames of wavelet coefficients partially generated through a cyclic shift algorithm. The method preferably operates on a data set having 2N frames, and the iteration is performed N−1 times. The resultant wavelet coefficients are then linearly averaged and an inverse discrete wavelet transform is performed to arrive at the de-noised original signal. The method is preferably carried out in a digital processor.
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Citations
45 Claims
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1. A signal de-noiser, said signal de-noiser comprising a processor configured to process a plurality of 2N frames of sampled data comprising the signal, said processor being further configured to
(a) perform a discrete wavelet transform operation on each of said sampled data frames to thereby create a corresponding frame of wavelet coefficients; -
(b) iteratively (i) construct a plurality of frames of wavelet coefficients; and
(ii) de-noise each constructed plurality of frames of wavelet coefficients;(d) combine the final plurality of frames of wavelet coefficients into a final frame of wavelet coefficients; and (e) inverse discrete wavelet transform said final frame of wavelet coefficients. - View Dependent Claims (2, 3, 4, 5, 6)
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7. A method of de-noising a signal by using a processor, said signal comprising a plurality of 2N frames of sampled data, the method comprising the steps of:
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(a) performing a discrete wavelet transform operation on each of said sampled data frames to thereby create a corresponding frame of wavelet coefficients; (b) iteratively (i) constructing a plurality of frames of wavelet coefficients; and
(ii) de-noising each constructed plurality of frames of wavelet coefficients;(d) combining the final plurality of frames of wavelet coefficients into a final frame of wavelet coefficients; and (e) inverse discrete wavelet transforming said final frame of wavelet coefficients. - View Dependent Claims (8, 9, 10, 11)
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12. A signal processor for de-noising an input signal, said signal processor including a memory for storing said input signal as an array A1 of a plurality of component frames, and a processor configured to:
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(a) perform a wavelet transform on each of said component frames to thereby create a corresponding array of wavelet coefficients; (b) iteratively for at least one repetition (i) combine multiple numbers of said wavelet coefficients into a plurality of resultant wavelet coefficients forming an array A2 of wavelet coefficients, each of said resultant wavelet coefficients being formed from a different combination of wavelet coefficients determined from the original set of wavelet coefficients or the previous iteration, as appropriate; and
(ii) wavelet de-noising each resultant wavelet coefficient of array A2; and(c) combine the resultant wavelet coefficients resulting from the last iteration to form a combined resultant wavelet coefficient. - View Dependent Claims (13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23)
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24. A signal processor for de-noising an input signal, said signal processor including a memory for storing said input signal as a plurality of component frames, and a processor configured to:
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(a) separately perform a wavelet de-noising operation on each of said component frames to produce a first plurality of de-noised frames; (b) re-order the component frames and perform a wavelet de-noising operation on each of said frames to produce a second plurality of de-noised frames; and (b) combine the first and second pluralities of resultant de-noised frames to form a combined frame of resultant de-noised wavelet coefficients. - View Dependent Claims (25, 26, 27, 28)
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29. A method for de-noising an input signal using a signal processor, said signal processor including a memory for storing said input signal as an array A1 of a plurality of component frames, said method comprising the steps of:
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(a) performing a wavelet transform on each of said component frames to thereby create a corresponding array of wavelet coefficients; (b) iteratively for at least one repetition (i) combining multiple numbers of said wavelet coefficients into a plurality of resultant wavelet coefficients forming an array A2 of wavelet coefficients, each of said resultant wavelet coefficients being formed from a different combination of wavelet coefficients determined from the original set of wavelet coefficients or the previous iteration, as appropriate; and
(ii) wavelet de-noising each resultant wavelet coefficient of array A2; and(c) combining the resultant wavelet coefficients resulting from the last iteration to form a frame of combined resultant wavelet coefficients. - View Dependent Claims (30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40)
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41. A method for de-noising an input signal using a signal processor, said signal processor including a memory for storing said input signal as a plurality of component frames, the method comprising the steps of:
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(a) separately performing a wavelet de-noising operation on each of said component frames to produce a first plurality of de-noised frames; (b) re-ordering the component frames and performing a wavelet de-noising operation on each of said frames to produce a second plurality of de-noised frames; and (b) combining the first and second pluralities of resultant de-noised frames to form a combined frame of resultant de-noised wavelet coefficients. - View Dependent Claims (42, 43, 44, 45)
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Specification