High resolution phase to sine amplitude conversion
First Claim
1. A method of converting phase data into amplitude data of a preselected periodic function, comprising the steps of:
- splitting phase data, corresponding to an independent variable of a preselected periodic function, into an upper phase increment and a lower phase increment;
generating at least three Taylor series expansion terms relating to said periodic function from said upper and lower phase increments;
summing said series terms to form an output amplitude.
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Abstract
A method and apparatus for converting phase data into amplitude data. Input phase data is divided into upper and lower phase increments using an input splitter which can also fold in quadrant data. One or more storage elements, such as sine and cosine ROMs, are connected to the input splitter and generate an amplitude, which forms one of a plurality of series terms, and first and second derivatives of the amplitude in response to the upper phase increment. The first derivative and lower phase increment are multiplied together in a digital multiplier to produce a second series term. A third series term comprising a product of the amplitude and lower phase increment squared, is generated by a term generator connected to the splitter and to the storage element. The term generator can comprise elements such as a ROM addressable by the lower phase increment and the amplitude. The first, second and third series terms are subsequently added together by one or more digital adders connected to the multiplier, term generator, storage element and in series with each other to form an output amplitude. An output controller is used for transferring the output amplitude to other apparatus and for incorporating quadrant unfolding elements.
118 Citations
20 Claims
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1. A method of converting phase data into amplitude data of a preselected periodic function, comprising the steps of:
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splitting phase data, corresponding to an independent variable of a preselected periodic function, into an upper phase increment and a lower phase increment; generating at least three Taylor series expansion terms relating to said periodic function from said upper and lower phase increments; summing said series terms to form an output amplitude. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10)
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11. An apparatus for converting phase data into amplitude data of a preselected periodic function, comprising:
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input means for splitting phase data corresponding to an independent variable of a preselected periodic function into an upper phase increment and a lower phase increment; expansion means connected to said input means for generating at least three Taylor series expansion terms about said periodic function from said upper and lower phase increments; adder means for summing said series terms to form an output amplitude. - View Dependent Claims (12, 13, 14, 15, 16, 17, 18, 19, 20)
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Specification