The nature of statistical learning theory
The nature of statistical learning theory
Adaptive filter theory (3rd ed.)
Adaptive filter theory (3rd ed.)
Multicategory Classification by Support Vector Machines
Computational Optimization and Applications - Special issue on computational optimization—a tribute to Olvi Mangasarian, part I
A Tutorial on Support Vector Machines for Pattern Recognition
Data Mining and Knowledge Discovery
AFPAC '97 Proceedings of the International Workshop on Algebraic Frames for the Perception-Action Cycle
Nonlinear signal processing for digital communications using support vector machines and a new form of adaptive decision feedback equalizer
ICASSP '99 Proceedings of the Acoustics, Speech, and Signal Processing, 1999. on 1999 IEEE International Conference - Volume 02
The complex backpropagation algorithm
IEEE Transactions on Signal Processing
Support vector machines and the multiple hypothesis test problem
IEEE Transactions on Signal Processing
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Channel equalization using adaptive complex radial basis function networks
IEEE Journal on Selected Areas in Communications
Complex-valued multistate neural associative memory
IEEE Transactions on Neural Networks
An overview of statistical learning theory
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
A comparison of methods for multiclass support vector machines
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
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In this paper, we present a family of complex-valued support vector classifiers (CSVCs) based on the definition of the complex sign inspired by the modulation in digital communications and the complex-valued kernel functions. We also propose a theorem to construct the complex-valued Mercer kernels and the corresponding kernel function groups. CSVC algorithms include binary (2-state) CSVC (BCSVC), quadrature (4-state) CSVC (QCSVC) and some multi-state CSVCs. In this paper, we focus on QCSVC. For a quadrature complex-valued classification problem, QCSVC is identical to the 4-quadrature amplitude modulation demodulation methods in digital communications. Finally, the simulated experiments confirm the validity and the efficiency of CSVCs.