Information and process control enhancement system employing series of square wave components

Claim 2

Apparatus for combining a pair of inputs, said apparatus including means for representing each input as a series expansion of square wave components, means for generating the reciprocal of one said series expansion of square wave components as a third series of square wave components, and means for combining said third series of square wave components with the remaining series expansion of square wave components to provide an output.

Claim 3

The apparatus according to claim 1 wherein said pair of inputs comprise input waveforms, said apparatus including means for deriving samples of said input waveforms for presentation of said samples to said means for representing each input as a series expansion of squAre wave components.

Claim 4

The apparatus according to claim 1 including means for inversely transforming said output to provide resultant values, and means for converting the resultant values into a substantially continuous waveform.

Claim 5

The apparatus according to claim 1 wherein said means for combining said third series of square wave components with the remaining series expansion of square wave components comprises multiplier means.

Claim 6

The apparatus according to claim 1 wherein said pair of inputs comprise input waveforms, said apparatus including means for sampling said input waveforms and means for converting said samples to digital values prior to presentation to said means for representing said samples as a series expansion of square wave components, said means for combining said third series of square wave components with the remaining series expansion of square wave components comprising multiplier means.

Claim 7

Filtering apparatus comprising: means for transforming an input waveform into a first series expansion of square wave components, means for transforming a signal factor into a second series expansion of square wave components, means for generating the reciprocal of the second series expansion of square wave components as a third series of square wave components, means for multiplying said first series expansion of square wave components by said third series expansion of square wave components to provide a fourth series of square wave components, means for inversely transforming said fourth series of square wave components to provide resultant values, and means for converting the resultant values into a substantially continuous signal output representative of the input waveform having said factor divided therefrom.

Claim 8

Filtering apparatus comprising: means for transforming an input waveform into a first series expansion of square wave components, means for transforming a signal factor into a second series expansion of square wave components, means for generating the reciprocal of the second series expansion of square wave components as a third series of square wave components, means for multiplying said first series expansion of square wave components by said third series expansion of square wave components to provide a fourth series of square wave components, means for inversely transforming said fourth series of square wave components to provide resultant values, and means for converting the resultant values into a substantially continuous signal output representative of the input waveform having said factor divided therefrom.

Claim 9

The apparatus according to claim 6 further including a system to be controlled and means for generating feedback in response to system operation for providing said signal factor, and means responsive to said output for generating a restoring signal in said system.

Claim 10

Apparatus for signal enhancement comprising: means for receiving a first input signal, means for transforming said first signal into a first series expansion of square wave components, means for providing a model of said input signal without noise, means for transforming said model into a second series expansion of square wave components, means for generating the reciprocal of the second series expansion of square wave components to provide a third series of square wave components, means for multiplying the first and third series of square wave components to provide a fourth series of square wave components, means for generating the reciprocal of the fourth series of square wave components to provide a fifth series of square wave components, means for multiplying the fifth series of square wave components with said first series of square wave components to provide a sixth series of square wave components, means for inversely transforming said sixth series of square wave components to provide resultant values, and means for converting the resultant values into a substantially continuous signal.

Claim 11

Apparatus for signal enhancement comprising: means for receiving a first input signal, means for transforming said first signal into a first series expansion of square wave components, means for providing a model of said input signal without noise, means for transforming said model into a second series expansion of square wave components, means for generating the reciprocal of the second series expansion of square wave components to provide a third series of square wave components, means for multiplying the first and third series of square wave components to provide a fourth series of square wave components, means for generating the reciprocal of the fourth series of square wave components to provide a fifth series of square wave components, means for multiplying the fifth series of square wave components with said first series of square wave components to provide a sixth series of square wave components, means for inversely transforming said sixth series of square wave components to provide resultant values, and means for converting the resultant values into a substantially continuous signal.

Claim 12

Information transferring circuitry comprising: means for spectrally decomposing at least a portion of an input signal function into a series expansion of Walsh function representations, and transforming means for converting said series expansion into a reciprocal series expansion, said transforming means comprising computing means for simultaneously solving a set of equations for the coefficients ak of the reciprocal series expansion, wherein the lth equation comprises the summation from k 0 to 2p-1 of coefficients ak Alpha k l equaling delta l,0, in which Alpha k l identifies the cofficients of the first mentioned series expansion, l equals 0,1,2 ...2p-1, p is an integer, and delta l,0 IS 1 if l 0 and 0 if l not = 0.

Claim 13

Information transferring circuitry comprising: means for spectrally decomposing at least a portion of an input signal function into a series expansion of Walsh function representations, and transforming means for converting said series expansion into a reciprocal series expansion, said transforming means comprising computing means for simultaneously solving a set of equations for the coefficients ak of the reciprocal series expansion, wherein the lth equation comprises the summation from k 0 to 2p-1 of coefficients ak Alpha k l equaling delta l,0, in which Alpha k l identifies the cofficients of the first mentioned series expansion, l equals 0,1,2 ...2p-1, p is an integer, and delta l,0 IS 1 if l 0 and 0 if l not = 0.

Claim 14

The circuitry according to claim 9 including means for inversely transforming said reciprocal series expansion into samples of a second function.

Claim 15

The circuitry according to claim 9 wherein said means for spectrally decomposing comprises means for sampling the input function and means to combine said samples to transform the same into said Walsh function representations.

Claim 16

The circuitry according to claim 9 further including means for spectrally decomposing at least a portion of a second input function into a second series expansion of Walsh function representations, and multiplying means for multiplying said second series expansion of Walsh function representations by said reciprocal series expansion.

Claim 17

Apparatus for signal enhancement comprising: means for developing a Walsh function representation for a segment of signal input, means for developing a Walsh function representation for a signal factor to be removed from said signal, means for generating the reciprocal of one of said Walsh function representations, and means for combining the said reciprocal with the other of said Walsh function representations.

Claim 18

Apparatus for signal enhancement comprising: means for developing a Walsh function representation for a segment of signal input, means for developing a Walsh function representation for a signal factor to be removed from said signal, means for generating the reciprocal of one of said Walsh function representations, and means for combining the said reciprocal with the other of said Walsh function representations.

Claim 19

The apparatus according to claim 13 wherein said means for generating the reciprocal comprises means for solving a set of simultaneous equations for coefficients ak of the reciprocal series wherein such set of equations is defined by multiplication of the proposed reciprocal Walsh series

Claim 20

The apparatus according to claim 13 wherein said means for developing the reciprocal comprises means for solving a set of simultaneous equations for coefficients of the reciprocal series, said equations having the form

Claim 21

Apparatus for providing the reciprocal of an input signal comprising: means for transforming said signal into a first series expansion of square wave components, means for generating the reciprocal of said series expansion of square wave components including means for solving equations for coefficients of a reciprocal series, said equations having the form

Claim 22

Apparatus for providing the reciprocal of an input signal comprising: means for transforming said signal into a first series expansion of square wave components, means for generating the reciprocal of said series expansion of square wave components including means for solving equations for coefficients of a reciprocal series, said equations having the form

Claim 23

Apparatus for signal enhancement comprising: means for receiving an input signal and transforming the same by spectral decomposition into a series of square wavecomponents, and means for combining the first mentioned series of square wave components with another series of square wave comPonents representative of undesired factors for enhancing the input signal, including generating the reciprocal Walsh series of one said series of square wave components.

Claim 24

Apparatus for signal enhancement comprising: means for receiving an input signal and transforming the same by spectral decomposition into a series of square wavecomponents, and means for combining the first mentioned series of square wave components with another series of square wave comPonents representative of undesired factors for enhancing the input signal, including generating the reciprocal Walsh series of one said series of square wave components.

Claim 25

System control apparatus comprising: means for producing a control function and for converting said control function into a square wave spectral decomposition, means for converting a system operating function to provide a second square wave spectral decomposition, means for generating the reciprocal series of one of the aforesaid spectral decompositions, means for multiplying the reciprocal series with the second spectral decomposition to yield a third series, and means to convert said third series into a signal to provide a restoring force in said system.

Claim 26

System control apparatus comprising: means for producing a control function and for converting said control function into a square wave spectral decomposition, means for converting a system operating function to provide a second square wave spectral decomposition, means for generating the reciprocal series of one of the aforesaid spectral decompositions, means for multiplying the reciprocal series with the second spectral decomposition to yield a third series, and means to convert said third series into a signal to provide a restoring force in said system.