CORRELATION PROPERTIES OF MULTI-LEVEL CYCLIC SEQUENCES
Final rept. pt. 2, 1 Sep 1964-31 Aug 1965
NEW YORK UNIV BRONX LAB FOR ELECTROSCIENCE RESEARCH
Pagination or Media Count:
The report considers the problem of synthesizing cyclic or periodic sequences, with binary and nonbinary N-ary symbols, for special communication applications. The first part of the report is concerned with the derivation of new classes of sequences. New theoretical developments are presented on the cyclic correlation properties of sequences containing the Nth complex roots of unity as symbols. The second part is concerned with the application of the sequences derived, as well as other known classes of sequences, to two special communication problems. The first application is a binary asynchronous linear multiplex system. There are k transmitter-receiver pairs, each using sequences which are summed linearly as carriers for binary information. Although a particular transmitter is synchronized with the corresponding receiver, the other transmitter-receiver pairs ary asynchronous with this pair. The second application is an N-ary synchronous hard-limiting multiplex system. For this application there are also k transmitter-receiver pairs, although the respective carrier sequences are not summed linearly, but hard-limited prior to transmission.