ORTHONORMALIZATION AND RIESZ BASIS IN WAVELETS

After the discovery of wavelets, wavelets have great variety of applications but negative point of wavelets is no clean time-frequency density concept but the existence of orthonormal wavelets has good time-frequency localization. The orthonormal wavelets are set up to play a major role in wavelet theory and have a big variety of applications. Historically, the HAAR basis is the first orthonormal wavelet basis which was given long before the term “wavelet” was invented. In this paper, we discuss orthonormality condition of wavelets with Riesz basis.

Keywords: Wavelet, Riesz, Orthonormalization.