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Proceedings ArticleDOI

Higher-order cyclic cumulants for high order modulation classification

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TLDR
This paper investigates automatic modulation classification (AMC) using homogeneous feature-vectors based on cyclic cumulants of fourth, sixth- and eight-orders for QAM, PSK and ASK signals within a pattern recognition framework.
Abstract
In this paper we investigate automatic modulation classification (AMC) using homogeneous feature-vectors based on cyclic cumulants (CCs) of fourth-, sixth- and eight-orders, respectively, for QAM, PSK and ASK signals within a pattern recognition framework. Analysis of CCs of the baseband signal at the receiver is performed and used for feature selection. The cycle spectrum of the baseband signal at the receiver is derived as a function of excess bandwidth for a raised cosine pulse shape and a necessary and sufficient condition on the oversampling factor is obtained. Theoretical arguments regarding the discrimination capability of the examined feature-vectors are verified through extensive simulations.

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References
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Digital Communications

Journal ArticleDOI

Hierarchical digital modulation classification using cumulants

TL;DR: It is shown that cumulant-based classification is particularly effective when used in a hierarchical scheme, enabling separation into subclasses at low signal-to-noise ratio with small sample size.
Proceedings ArticleDOI

Likelihood ratio tests for modulation classification

TL;DR: Simulation results show that two novel modulation classification algorithms that are based on the decision theoretic approach can offer a significant performance gain for classification of dense, non-constant envelope constellations.
Journal ArticleDOI

Asymptotic theory of mixed time averages and kth-order cyclic-moment and cumulant statistics

TL;DR: It is shown that time averages of such mixtures converge in the mean-square sense to their ensemble averages and that sample averages of arbitrary orders are jointly complex normal and provide their covariance expressions.
Journal ArticleDOI

The cumulant theory of cyclostationary time-series. II. Development and applications

TL;DR: The development of the theory of nonlinear processing of cyclostationary time-series that is initiated in Part I is continued and a new type of cumulant for complex-valued variables is introduced and used to generalize the temporal and spectral moments and cumulants for cyclostators from real-valued tocomplex-valued time- series.
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