Title :
Orthonormal wavelets with simple closed-form expressions
Author :
Walter, G.G. ; Zhang, J.
Author_Institution :
Dept. of Math., Wisconsin Univ., Milwaukee, WI, USA
fDate :
8/1/1998 12:00:00 AM
Abstract :
Two classes of orthonormal wavelets that have simple closed-form expressions are derived from pulses with the raised-cosine spectrum. These wavelets, which are bandlimited and polynomial-decaying in time, are found to be particular examples of the Lemarie-Meyer (1992, 1993) wavelets. The derivation reveals interesting connections between wavelet construction and intersymbol interference (ISI)-free signaling for digital communications
Keywords :
digital communication; signal processing; spectral analysis; telecommunication signalling; wavelet transforms; ISI-free signaling; Lemarie-Meyer wavelets; bandlimited wavelets; closed-form expressions; digital communications; frequency domain; intersymbol interference; orthonormal wavelets; polynomial-decaying wavelets; raised-cosine spectrum; sampling functions; signal processing; time domain; wavelet construction; Closed-form solution; Digital communication; Discrete wavelet transforms; Finite impulse response filter; Frequency; Image coding; Intersymbol interference; Polynomials; Signal processing; Wavelet analysis;
Journal_Title :
Signal Processing, IEEE Transactions on
