Orthonormal wavelets with simple closed-form expressions

IEEE Transactions on Signal Processing(1998)

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摘要
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
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关键词
simple closed-form expression,orthonormal wavelet,wavelet construction,interesting connection,intersymbol interference,raised-cosine spectrum,digital communication,particular example,finite impulse response filter,signal processing,wavelet analysis,polynomials,wavelet transforms,digital communications,frequency domain,spectrum,time domain,frequency,closed form solution
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