Mathematical technique used in data compression and analysis
An example of the 2D discrete wavelet transform that is used in JPEG2000
For broader coverage of this topic, see
Wavelet .
In mathematics , a wavelet series is a representation of a square-integrable (real - or complex -valued) function by a certain orthonormal series generated by a wavelet . This article provides a formal, mathematical definition of an orthonormal wavelet and of the integral wavelet transform .[ 1] [ 2] [ 3] [ 4] [ 5]
^ Meyer, Yves (1992), Wavelets and Operators, Cambridge, UK: Cambridge University Press, ISBN 0-521-42000-8
^ Chui, Charles K. (1992), An Introduction to Wavelets, San Diego, CA: Academic Press, ISBN 0-12-174584-8
^ Daubechies, Ingrid. (1992), Ten Lectures on Wavelets, SIAM, ISBN 978-0-89871-274-2
^ Akansu, Ali N.; Haddad, Richard A. (1992), Multiresolution Signal Decomposition: Transforms, Subbands, and Wavelets, Boston, MA: Academic Press, ISBN 978-0-12-047141-6
^ Ghaderpour, E.; Pagiatakis, S. D.; Hassan, Q. K. (2021). "A Survey on Change Detection and Time Series Analysis with Applications" . Applied Sciences . 11 (13): 6141. doi :10.3390/app11136141 . hdl :11573/1655273 .