Abstract
Abstract. We present a new class of alternating codes. Instead of the customary binary phase codes, the new codes utilize either p or p–1 phases, where p is a prime number. The first class of codes has code length pm, where m is a positive integer, the second class has code length p–1. We give an actual construction algorithm, and explain the principles behind it. We handle a few specific examples in detail. The new codes offer an enlarged collection of code lengths for radar experiments.
Highlights
Alternating codes are widely used in incoherent scatter radar measurements and their properties are well known
The new codes offer an enlarged collection of code lengths for radar experiments
It is possible to use truncated polyphase alternating codes in a similar manner as binary phase alternating codes, in order to have smaller number of bauds. It has been shown in Lehtinen et al (1997) that the nonrandomized binary strong alternating codes have as bad a covariance behaviour as possible
Summary
Alternating codes are widely used in incoherent scatter radar measurements and their properties are well known. For the construction of sequences A generating alternating codes, it will be advantageous, instead of Ep to consider the set of possible exponents of α, the integers Zp={0, . If a mth-order difference equation in Zp is such that it has a solution with period pm−1, the first pm−1 elements of the solution can be used as a generator of a p-nary alternating code.
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