@article {IOPORT.01454132, author = {Mobasseri, B.G.}, title = {Digital modulation classification using constellation shape.}, year = {2000}, journal = {Signal Processing}, volume = {80}, number = {2}, issn = {0165-1684}, pages = {251-277}, publisher = {Elsevier Science, Amsterdam}, doi = {10.1016/S0165-1684(99)00127-9}, abstract = {Summary: Constellation diagram is a traditional and powerful tool for design and evaluation of digital modulations. In this work we propose to use constellation shape as a robust signature for digital modulation recognition. We represent the transmitted ``information'' by the geometry of the constellation. Received information is in turn the recovered constellation shape that is deformed by noise, channel and receiver implementation. We first demonstrate that fuzzy $c$-means clustering is capable of robust recovery of the unknown constellation. To perform Bayesian inference, the reconstructed constellation is modeled by a discrete multiple-valued nonhomogeneous spatial random field. For candidate modulations, their corresponding random fields are modeled off-line. The unknown constellation shape is then classified by an ML rule based on the preceding model building phase. The algorithm is applicable to digital modulations of arbitrary size and dimensionality.}, identifier = {01454132}, }