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Periodic complementary sequences were advanced in . It is shown here that they can be approached using the cyclic wavelet transform. This allows us to develop systematic algorithms for their generation. These two new sets of orthogonal sequences are generalizations of the Golay sequences in the sense that the Golay sequences are members of both of these sets...
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The novel approach allows to derive formulae for the systematic generation of Golay sequences, which are also given. Previously these sequences could only be generated using computer searches.
The paper is organized as follows. In Section 2 we review filter bank theory. Section 3 is a review of Golay (non-periodic complementary sequences) and Section 4 is a review of various generalizations of these sequences...
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