Haar Wavelet Expansions of Signals and their Applications in Image Processing
Shyam Lal, K. K. Rai, Sarika Keshri · International Journal of Computer Applications · 2017
In this paper, double wavelet series of a signal f of two variables t 1 and t 2 using Haar Scaling function Φ(t 1 , t 2 ) = φ(t 1 )φ(t 2 ) and Haar Wavelet function Ψ(t 1 , t 2 ) = ψ(t 1 )ψ( t2 ) has been introduced and it has been verified by a number of examples.Several properties of this signal and it's image have been studied.The significient result of this paper are the decomposition and reconstruction of signals of a single variable t 1 and signals of two variables t 1 and t 2 using Haar Scaling signal as well as Haar Wavelets.