A Class of Piecewise-Linear Basis Functions and Piecewise-Linear Signal Decomposition and Synthesis
Kazuo Nohara · Institutional Repositories DataBase (IRDB) · 1988
A set of piecewisetlinear basis functions fbr sigma1 decbmposition and synthesis is introduced.These functicns span the space L2 [O, 1], the space of functions square integrable on a finite interval [O, 1l.Any signa1 in L2 [O, 1l can be expanded in terms of these functions with finite term approximations giving a piecewisediriear representation of the sigma1.The determination of the expansion coefficients is quite simple, and no time domain multiplications or intQgrations are required.EffZeient algorithrns for fast computation of the piecewise-linear signal decomposition and synthesis are also presented,