More General QAM Complementary Sequences

Abstract

This paper improves the family size of quadrature amplitude modulation (QAM) complementary sequences with binary inputs. By employing new mathematical description: B-type-2 of 4^q-QAM constellation (integer q ≥ 2), a new construction yielding 4^q-QAM complementary sequences (CSs) with length 2^m (integer m ≥ 2) is developed. The resultant sequences include the known QAM CSs with binary inputs as special cases, and the family sizes of new sequences are approximately 2^2·2q-4q-1(2^2·2q-3-1) times as many as the known. Also, both new sequences and the known have the same the peak envelope power (PEP) upper bounds, when they are used in an orthogonal frequency-division multiplexing communication system.