Weight class distributions of de Bruijn sequences
β Scribed by Gregory L. Mayhew
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 275 KB
- Volume
- 126
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
Order n de Bruijn sequences are the period 2" binary sequences produced by an n stage feedback shift register. The de Bruijn sequences have good randomness and complexity properties. Theorems are given on the weight class distributions of the generator functions. Data that extend the work of Fredricksen are also presented.
π SIMILAR VOLUMES
The cycle structure of the "connection" of feedback logics is applied to construct more polynomials which generate de Bruijn sequences.
A binary span k de Bruijn sequence is a binary sequence of period 2 k such that each k-tuple of bits occurs exactly once as a subsequence in a period of the sequence. The de Bruijn sequences have applications in position sensing and range finding, as well as in other areas, by virtue of this subsequ