PATENT CLAIM ANALYSIS

Application Number: 16156509
Application Type: Utility
Filing Date: 2018-10
Publication Date: 2019-02
Patent Classification: ["084", "726000"]

Abstract:
This invention discloses and claims means and methods for producing a continuous range of humbucking vibration signals from matched sensors, from bright to warm tones, using variable gains, with either manual control or automatic control by a digital micro-computing device and system. It shows how electronic circuits can control the linear combination of tones from humbucking pairs of sensors, based upon simulating humbucking basis vectors.

Claim (Index 9):
The computation in  claim 8 , such that sine and cosine are approximated by computations using only floating point math with the arithmetic functions add, subtract, multiply, divide and square root, without a Pi constant or trig functions, on the interval, \u2212infinity<x<infinity, with 0\u2264xm<1 and 0\u2264xm 2 <0.5, xm=x modulo 1 and xm 2 =xm modulo 0.5, such that a positive half-cycle of either sine or cosine is approximated by one of three functional methods of increasing accuracy, of which the negative is used for the negative half cycle, followed by the calculation of the other trig function, either cosine or sine, by taking the square root of 1 minus the square of the first function approximated, as in c(x)=\u00b1sqrt(1\u2212s(x) 2 ), the \u00b1 being used on the appropriate interval shifted x\u00b10.25 from the positive and negative intervals of the first function approximated, such that if said first function is sine, said, second function is the negative of said square root on the interval, 0.25\u2264xm<0.75, with the positive of said square root applied to the rest of the interval, 0\u2264x<1, and such functional approximations of sign and cosine are also used for sine and cosine in fast Fourier transform subroutines on the signal sampling interval scaled to, 0\u2264x<1, said functional methods comprised of:\n a. functional method 1; the approximation of a positive half-cycle of the first function, either sine or cosine, by the form, 1\u22124(2xm 2 \u22120.25) 2  on the interval, 0\u2264xm<\u00bd, followed by \u2212(1\u22124(2xm 2 \u22120.5) 2 ) on the interval, \u00bd\u2264xm<1, before calculating said second function from said square root, and \n b. functional method 2; the approximation of a positive half-cycle of either sine or cosine by the form, 1\u22125(2xm 2 \u22120.25) 2 +4((2xm 2 \u22120.25) 4  on the interval, 0\u2264xm<\u00bd, where xm=x modulo 1, and xm 2 =xm modulo \u00bd, followed by the negative of said quadratic form on the interval, \u00bd\u2264xm<1, before calculating said second function from said square root, and \n c. functional method 3; by adding a correction to said functional method 2, of the form ((f*(xm 2 \u22120.25) 2 +d)*(xm 2 \u22120.25) 2 +c)*(xm 2 \u22120.25) 2 , where [c/16+d/256+f/4096]=0, and c=approximately 0.262946727334352, and d=approximately 1/sqrt(2), as determined by minimizing the root-sum-squared error of the approximate function, minus said sine or cosine function, adding said correction to said positive half-cycle of said first function, and subtracting said correction from said negative half-cycle of said first function, before calculating said second function from said square root.

Metadata:
- Claim Count in Document: 23.0
- Percentile: 97.0
- Lexical Diversity: 1.31481
- Patent Class: 84.0
- Transitional Phrase Type: open
- Component Type: 1
- Foreign Priority: False
- Related Applications: ['15616396', '16139027', '14338373', '13183084', '14310439']

Analysis Scores:
- 35 USC 101 Eligibility (BERT): 0.6099612484990271
- 35 USC 102 Novelty (BERT): 0.5320565037661513
- Combined Prediction Score: 0.6021707740257396
- Mean Citation Score: 307.966594
- Max Citation Score: 393.4882
- Similarity Product: 217.927691493702

Labels:
- Claim Label 101: 1
- Claim Label 102: 1
- Claim Label 103: 1
- Claim Label 112: 0
- Combined Label: 1
- Label 101 Adjusted: 1

Dataset: test