Chapter 3

Spline Adaptive Filters

Theory and Applications

Michele Scarpiniti; Danilo Comminiello; Raffaele Parisi; Aurelio Uncini    Sapienza University of Rome, Rome, Italy


In this chapter we propose a unifying overview of a recent class of nonlinear adaptive filters, known as Spline Adaptive Filter (SAF). This family of nonlinear adaptive filters comes from the general class of block-wise architectures consisting of a cascade of a suitable number of linear blocks and flexible memoryless nonlinear functions. In particular, the nonlinear function involved in the adaptation process is based on a spline function whose shape can be modified during the learning. Specifically, B-splines and Catmull–Rom splines are used, because ...

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