Efficient radix-4 CORDIC vector rotators and computers of sine and cosine functions
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United States of America Patent
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Feb 19, 2002
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N/A
app pub date -
Mar 13, 1999
filing date -
Mar 13, 1999
priority date (Note) -
Expired
status (Latency Note)
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Abstract
An improved radix-4 CORDIC rotator iteration stage, using answer digits {-3, -1, 1, 3} instead of the conventional choices of {-3, -2, -1, 0,1, 2, 3} or {-2, -1, 0, 1, 2}, thereby achieving constant magnitude amplification. The invention includes an answer digit decision module, which normally examines only a few digits of the remainder angle .theta..sub.i-1, thereby saving time when compared to full-length comparison. Very rarely does the answer digit decision process involves examining close to all the digits of the remainder angle. When examining only a few digits of the remainder angle, the circuit takes only approximately 20% longer than a radix-2 CORDIC stage. The invented rotator stage is usable either as a pipeline stage or as a single-stage iterative circuit. For use in a pipeline, the invented stage is to be used only when only a few remainder angle bits need to be examined.
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