![]() |
10.5120/ijca2017915317 |
Shyam Lal, K K Shukla and Sarika Keshri. Haar Wavelet Expansions of Signals and their Applications in Image Processing. International Journal of Computer Applications 173(9):1-23, September 2017. BibTeX
@article{10.5120/ijca2017915317, author = {Shyam Lal and K. K. Shukla and Sarika Keshri}, title = {Haar Wavelet Expansions of Signals and their Applications in Image Processing}, journal = {International Journal of Computer Applications}, issue_date = {September 2017}, volume = {173}, number = {9}, month = {Sep}, year = {2017}, issn = {0975-8887}, pages = {1-23}, numpages = {23}, url = {http://www.ijcaonline.org/archives/volume173/number9/28360-2017915317}, doi = {10.5120/ijca2017915317}, publisher = {Foundation of Computer Science (FCS), NY, USA}, address = {New York, USA} }
Abstract
In this paper, double wavelet series of a signal f of two variables t1 and t2 using Haar Scaling function Φ(t1, t2) = φ(t1)φ(t2) and Haar Wavelet function Ψ(t1, t2) = ψ(t1) 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 t1 and signals of two variables t1and t2 using Haar Scaling signal as well as Haar Wavelets.
References
- Haar A., Zurtheorie der orthogonalen funktionen systeme, Math. Ann., Vol. 69, pp. 331-371, 1910.
- Tichmarsh.,E.C., The Theory of Functions, Second Edition, Oxford University Press, (1939).
Keywords
Haar Wavelet, Signal Processing, Image Processing, Double Wavelet Series, Signals of Lip Class