On the decimations of Frank sequences

Sets of decimated Frank (1962) sequences with optimal correlation properties were first considered by Alltop (1984). By regarding decimated Frank sequences as special cases of the generalized Frank sequences proposed by Suehiro and Hatori (1988), the set size of decimated Frank sequences can be doubled without sacrificing the optimality of the correlation properties. Besides, the proposed sequences form representatives of generalized Frank sequences of different classes. They thus provide an efficient way to generate signature sequences for spread spectrum multiple access systems with dynamic signature assignments.<>