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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Hiltgen, A.P. Paterson, K.G. Brandestini, M. |
| Copyright Year | 1995 |
| Description | Author affiliation: Crypto AG, Zug, Switzerland (Hiltgen, A.P.) |
| Abstract | A common use of Gray codes is in reducing quantisation errors in various types of analogue-to-digital conversion systems. As a typical example, a length n Gray code can be used to record the absolute angular positions of a rotating wheel by encoding the codewords on n concentrically arranged tracks. A number of reading heads, n, mounted radially across the trades, suffice to recover the codewords and it is well known that quantisation errors are minimised by using a Gray encoding. When a high resolution is required, the need for a large number of concentric tracks results in encoders with large physical dimensions. This poses a problem in the design of small-scale or high-speed devices. We propose single-trade Gray codes as a way of overcoming this problem. Let W/sub 0/,W/sub 1/...,W/sub p-1/ be the codewords of a Gray code C and write W/sub i/=[w/sub i//sup 0/,w/sub i//sup 1/,...,w/sub i//sup n-1/]/sup T/. We call the sequence w/sub 0//sup j/,w/sub 1//sup j/,...,w/sub p-1//sup j/ component sequence j of C. |
| File Size | 110578 |
| File Format | |
| ISBN | 0780324536 |
| DOI | 10.1109/ISIT.1995.532919 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 1995-09-17 |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Reflective binary codes Quantization Encoding Cryptography Mathematics Wheels Magnetic heads Upper bound |
| Content Type | Text |
| Resource Type | Article |
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