期刊
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS FOR VIDEO TECHNOLOGY
卷 10, 期 6, 页码 998-1005出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/76.867939
关键词
digital filter wordlength effect; FIR digital filters; image coding; wavelet transforms
Many wavelet filters found in the literature have irrational coefficients and thus require infinite precision implementation. One of the most popular filter pairs is the 9/7 biorthogonal pair of Cohen, Daubechies, and Feauveau, which is adopted in the FBI finger-print compression standard. We present here a technique to rationalize the coeffcients of wavelet filters that will preserve biorthogonality and perfect reconstruction. Furthermore, most of the zeros at z = -1 will also be preserved. These zeros are important for achieving regularity. The rationalized coefficients filters have characteristics that are close to the original irrational coefficients filters. Three popular pairs of filters, which include the 9/7 pair, will be considered.
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