Cyclostationarity-based recognition of orthogonal frequency division multiplexing (OFDM) against single carrier linear digital (SCLD) modulations in time dispersive channel


  1. Dobre, O.A.
  2. Punchihewa, A.
Corporate Authors
Defence R&D Canada - Ottawa, Ottawa ONT (CAN);Memorial Univ of Newfoundland, St John's NFLD (CAN) Faculty of Engineering and Applied Science
In this report we study the cyclostationarity of orthogonal frequency division multiplexing (OFDM) and single carrier linear digital (SCLD) modulations, when affected by a time dispersive channel, additive white Gaussian noise (AWGN), carrier phase, and frequency and timing offsets. This is performed with a view to developing an algorithm for the recognition of OFDM against SCLD modulations. The analytical closed-form expressions for the nth-order (q-conjugate) cyclic cumulants (CCs), nth-order (q-conjugate) cyclic cumulant polyspectra (CCPs), and nth-order (q-conjugate) cycle frequencies (CFs) of OFDM and SCLD signals are derived. Furthermore, a necessary and sufficient condition is obtained for the oversampling factor per subcarrier, to eliminate cycle aliasing. Based on a second-order CC, we propose an algorithm to discriminate OFDM against SCLD modulations. This algorithm has the advantage of eliminating the need for signal preprocessing tasks, such as symbol timing, carrier and waveform recovery, and estimation of the signal and noise powers. Simulations are carried out to confirm theoretical developments.

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Report Number
DRDC-OTTAWA-CR-2009-297 — Contractor Report
Date of publication
01 Apr 2010
Number of Pages
Electronic Document(PDF)

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