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A Set of Orthogonal Polynomials for Use in Approximation of Nonlinearities in Digital QAM Systems
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2003/03/01
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Digital Signal Processing
orthogonal polynomials, 2D uniform distribution, nonlinearity, digital QAM system,
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This paper derives a set of orthogonal polynomials for a complex random variable that is uniformly distributed in two dimensions (2D). The polynomials are used in a series expansion to approximate memoryless nonlinearities in digital QAM systems. We also study stochastic identification of nonlinearities using the orthogonal polynomials through analysis and simulations.