Title :
Hyperbolic splines and nonlinear distortion
Author :
Martin, Richard ; Lever, Ken ; McCarthy, Jeff
Author_Institution :
Inst. for Telecommun. Res., Univ. of South Australia, Adelaide, SA, Australia
fDate :
6/1/2000 12:00:00 AM
Abstract :
Using Mobius transformations, we consider how to interpolate a set of monotone increasing data points (xk, yk) so that the interpolant is a smooth invertible function and that the interpolant and its inverse have the same simple functional form. We use our method to cancel jammer-induced distortion in a nonlinear channel
Keywords :
interference suppression; interpolation; inverse problems; jamming; nonlinear distortion; signal processing; splines (mathematics); telecommunication channels; Mobius transformations; hyperbolic splines; invertibility; jammer-induced distortion cancellation; monotone increasing data points interpolation; nonlinear channel; nonlinear distortion; smooth invertible function; Australia; Jamming; Nonlinear distortion; Piecewise linear approximation; Piecewise linear techniques; Polynomials;
Journal_Title :
Signal Processing, IEEE Transactions on