A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Ten lectures on wavelets
Multirate systems and filter banks
Multirate systems and filter banks
Concrete Mathematics: A Foundation for Computer Science
Concrete Mathematics: A Foundation for Computer Science
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The wavelet compression method is one of the most efiective techniques of digital image compression. Efficiency of this method strongly depends on the filters used to two-dimensional wavelet transform. The fundamental way of construction of finite impulse response filters was given by I. Daubechies. The paper presents a new proof of the fact that the Daubechies filters satisfy the power complementary condition, which is one of the conditions for perfect image reconstruction.