Title :
On the digital filter associated with Daubechies´ wavelets
Author_Institution :
Dept. of Math., Georgia Univ., Athens, GA, USA
fDate :
9/1/1995 12:00:00 AM
Abstract :
The magnitude of the filters associated with Daubechies´ wavelets nψ is shown to monotonically converge to an ideal highpass filter when n→∞. The rate of the convergence is also given. The magnitude of each filter is shown to be monotonically increasing from [0,π]. The convergence does not have Gibbs´ phenomenon
Keywords :
convergence of numerical methods; digital filters; encoding; high-pass filters; wavelet transforms; Daubechies´ wavelets; convergence; digital filter; ideal highpass filter; subband coding; Convergence; Decoding; Delay effects; Digital filters; Encoding; IIR filters; Process design; Signal design; Signal processing; Signal sampling;
Journal_Title :
Signal Processing, IEEE Transactions on
