Probabilities of False Alarm and Detection for the First-Order Cyclostationarity Test: Application to Modulation Classification

SERBES A., ÇUKUR H., Qaraqe K.

IEEE COMMUNICATIONS LETTERS, vol.24, no.1, pp.57-61, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 1
  • Publication Date: 2020
  • Doi Number: 10.1109/lcomm.2019.2947043
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, PASCAL, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Page Numbers: pp.57-61
  • Keywords: First-order cyclostationarity test, blind modulation identification, automatic modulation classification
  • Yıldız Technical University Affiliated: Yes


Automatic modulation classification is one of the most challenging problems of cognitive radio and has significant commercial and military application. This letter focuses on blind modulation classification of first-order cyclostationary signals under a Gaussian channel. A detailed theoretical analysis of the first-order cyclostationarity test has been performed. We present the theoretical expressions of the probability of false alarm P-fa and the probability of detection P-d as a function of the selected threshold for the first-order cyclostationarity test based constant false alarm rate detector. The P-d is presented for only AM and M-FSK signals, which are the only signals that possess first-order cyclostationary features. Theoretical formulations presented in this letter are validated by extensive simulation results.