Single-track gray codes

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Crypto AG, Zug, Switzerland [1 ]
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IEEE Trans Inf Theory | / 5卷 / 1555-1561期
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A typical application for Gray codes; mentioned already in [l; is in absolute position sensing and angle measurement. In the angle measurement applicatison; the codewords of a length n; period p Gray code are radially arranged around a circle on n tracks (one track for each codeword component); dividing the circle into p segments. By virtue of the distinctness of the codewords; the n bits appearing in a particular segment uniquely identify that segment; and hence the absolute angle corresponding to it (up to some resolution). At angles close to the boundary between two segments; any of the codeword components which change at this boundary are likely to Manuscript received January 13; 1995; revised February 2; 1996. The material in this correspondence was presented at the IEEE International Symposium on Information Theory; Whistler; BC; Canada; September; 17-22; 1995. The work of K. G. Paterson was supported by a Royal Society ESEP Research Fellowship; the Swiss National Science Foundation; and latterly by a Lloyd's of London Tercentenary Foundation Research Fellowship;
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