Li Bingbing, Chang Yilin, Hu Zheng. THE CONSTRUCTION METHODS AND ALGORITHM DESIGN OF WAVELET BASES[J]. Journal of Electronics & Information Technology, 1994, 16(6): 646-650.
Citation:
Li Bingbing, Chang Yilin, Hu Zheng. THE CONSTRUCTION METHODS AND ALGORITHM DESIGN OF WAVELET BASES[J]. Journal of Electronics & Information Technology, 1994, 16(6): 646-650.
Li Bingbing, Chang Yilin, Hu Zheng. THE CONSTRUCTION METHODS AND ALGORITHM DESIGN OF WAVELET BASES[J]. Journal of Electronics & Information Technology, 1994, 16(6): 646-650.
Citation:
Li Bingbing, Chang Yilin, Hu Zheng. THE CONSTRUCTION METHODS AND ALGORITHM DESIGN OF WAVELET BASES[J]. Journal of Electronics & Information Technology, 1994, 16(6): 646-650.
Based on the brief introduction of the principle of wavelet analysis, this paper gives a summary of several typical wavelet bases from the point of veiw of perfect reconstruction of signal and emphasizes that designing wavelet bases which are used to decompose the signal into two-band form is equivalent to designing a two-band filters with perfect or nearly perfect property. The generating algorithm corresponding to Daubechies bases and some simulated results are also shown in this paper.
Daubechies I. Comm[J].Pure Appl. Math.1988, 41:909-996[2]Antonini M.[J].Sarlaud M, Mathieu P, Daubechies I. Image Coding Using Vector Quantiztion is the Wavelet Transform Domain. Proe. of ICASSP90, New Mexico, USA.2297,1990:-[3]Mallat S, Zhong S F. IEEE Trans. on PAMI, 1992, PAMI-14(7):710-732.[4]Papoulis A. Signal Analysis, New York: McGraw-Hill, 1977, 30-55.