Abstract
As noted in Chapter 1, a major thrust of research in subband filter banks has focussed on methods for achieving perfect reconstruction (PR), defined as the property wherein the reconstructed output signal is simply a delayed version of the input signal. There are several established categories of PR filter banks, the most popular of which are the paraunitary and the biorthogonal varieties, as well as a spate of others [7, 418, 430, 371]. While all of these insure PR, there is literally an infinite number of solutions, even for the simplest of filter structures. The space of feasible solutions can be narrowed by design procedures that optimize certain objective measures while maintaining perfect reconstruction as a constraint.
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© 1996 Kluwer Academic Publishers
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Akansu, A.N., Haddad, R.A. (1996). Fundamentals and Optimal Design of Subband and Wavelet Transforms. In: Akansu, A.N., Smith, M.J.T. (eds) Subband and Wavelet Transforms. The Kluwer International Series in Engineering and Computer Science, vol 340. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0483-8_2
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DOI: https://doi.org/10.1007/978-1-4613-0483-8_2
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