Cyclically orthogonal subsets of Walsh functions
ABSTRACT This paper studies the correlation properties of Walsh functions. It is found that Walsh functions generated by a Hadamard matrix could be divided into several cyclically orthogonal subsets. An approach to obtain such subsets is proposed as a theorem and is proved through the mathematical induction. The application of the cyclically orthogonal subsets of Walsh functions to DS-CDMA communications is then discussed.
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ABSTRACT: Properties and methods for synthesizing sequences with perfect periodic autocorrelation functions and good energy efficiency are discussed. The construction is extended to two-dimensional perfect arrays. The construction methods used are based mainly on a search in the frequency domain and on a multiplication theorem for periodic sequences and arraysIEEE Transactions on Aerospace and Electronic Systems 06/1988; 24(3)(3-24):287 - 294. DOI:10.1109/7.192096 · 1.39 Impact Factor