Second-order Cyclostationarity of Cyclically Prefixed Single Carrier Linear Digital Modulations With Applications to Signal Recognition

The second-order cyclostationarity of Cyclically Prefixed Single Carrier Linear Digital (CP-SCLD) modulated signals is investigated with emphasis on its applicability to signal recognition. Analytical closed-form expressions for the second-order (one-conjugate) Cyclic Cumulants (CCs) and the set of Cycle Frequencies (CFs) for CP-SCLD modulated signals are derived. Based on these results, an algorithm is proposed for the recognition of CP-SCLD against SCLD and Orthogonal Frequency Division Multiplexing (OFDM) signals. This algorithm obviates the need for signal pre-processing tasks, such as symbol timing, carrier and waveform recovery and estimation of signal and noise powers.