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Rationalizing the coefficients of popular biorthogonal wavelet filters
journal contributionposted on 2000-09-01, 00:00 authored by David TayDavid Tay
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 coefficients 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.