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.
[Show abstract][Hide abstract] 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 arrays
IEEE Transactions on Aerospace and Electronic Systems 06/1988; 24(3)(3-24):287 - 294. DOI:10.1109/7.192096 · 1.76 Impact Factor
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