METHODS AND APPARATUS FOR USING BOOLEAN DERIVATIVES TO PROCESS DATA
First Claim
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1. A method, comprising:
- transforming a data stream into a Boolean function;
minimizing the Boolean function;
performing r bit-array partial Qth order partial derivatives of the Boolean function, where Q=1 . . . N,combining the partial derivatives to generate an Nth order Boolean derivative using fusion; and
outputting the Boolean derivative.
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Abstract
Method and apparatus for generating an Nth order Boolean derivative from r bit-array Qth order partial derivatives combined using fusion. Exemplary applications include multimedia, e.g., signal, image and video, processing systems; security systems; edge detection, compression, filtering, multimedia data, e.g., signal, image, video, interpolation and resizing systems; biometrics and recognition systems; networking and communication systems; static hazard free circuit design, simplifying gates in circuits; circuit testing, fault detection, and analysis systems.
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Citations
20 Claims
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1. A method, comprising:
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transforming a data stream into a Boolean function; minimizing the Boolean function; performing r bit-array partial Qth order partial derivatives of the Boolean function, where Q=1 . . . N, combining the partial derivatives to generate an Nth order Boolean derivative using fusion; and outputting the Boolean derivative. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 15)
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10. An article, comprising:
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a storage medium having stored thereon instructions that when executed by a machine result in the following; transforming a data stream into a Boolean function; minimizing the Boolean function; performing r bit-array partial Qth order partial derivatives of the Boolean function, where Q=1 . . . N, combining the partial derivatives to generate an Nth order Boolean derivative using fusion; and outputting the Boolean derivative. - View Dependent Claims (11, 12, 13, 14)
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16. A system, comprising:
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a processor; a memory coupled to the processor, the memory including instructions that when executed enable; transforming a data stream into a Boolean function; minimizing the Boolean function; performing r bit-array partial Qth order partial derivatives of the Boolean function, where Q=1 . . . N, combining the partial derivatives to generate an Nth order Boolean derivative using fusion; and outputting the Boolean derivative. - View Dependent Claims (17, 18, 19, 20)
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Specification