Kasami code
Script error: No such module "Distinguish". Kasami sequences are binary sequences of length 2N−1Script error: No such module "Check for unknown parameters". where Template:Mvar is an even integer. Kasami sequences have good cross-correlation values approaching the Welch lower bound. There are two classes of Kasami sequences—the small set and the large set.
Kasami Set
The process of generating a Kasami sequence is initiated by generating a maximum length sequence a(n)Script error: No such module "Check for unknown parameters"., where n = 1…2N−1Script error: No such module "Check for unknown parameters".. Maximum length sequences are periodic sequences with a period of exactly 2N−1Script error: No such module "Check for unknown parameters".. Next, a secondary sequence is derived from the initial sequence via cyclic decimation sampling as b(n) = a(q ⋅ n)Script error: No such module "Check for unknown parameters"., where q = 2N/2+1Script error: No such module "Check for unknown parameters".. Modified sequences are then formed by adding a(n)Script error: No such module "Check for unknown parameters". and cyclically time shifted versions of b(n)Script error: No such module "Check for unknown parameters". using modulo-two arithmetic, which is also termed the exclusive or (xor) operation. Computing modified sequences from all 2N/2Script error: No such module "Check for unknown parameters". unique time shifts of b(n)Script error: No such module "Check for unknown parameters". forms the Kasami set of code sequences.
See also
- Gold sequence (aka Gold code)
- JPL sequence (aka JPL code)
References
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