A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Ten lectures on wavelets
Algorithms for designing wavelets to match a specified signal
IEEE Transactions on Signal Processing
Optimization of parameterized compactly supported orthogonal wavelets for data compression
MICAI'11 Proceedings of the 10th international conference on Artificial Intelligence: advances in Soft Computing - Volume Part II
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This work presents an application of a genetic algorithm in the design of digital filters used to implement the discrete wavelet transform. The best compression of a transformed signal is achieved when its power is described by the smallest number of transformation coefficients. The individuals of the genetic algorithm aim to reach this target, at the same time that they reduce the error of the reconstructed signal. In the experiments we worked with grayscale images, and we compared the performance of evolutionary and Daubechies filters. Experimental results show the feasibility and convenience of finding custom wavelets for each image, and support the idea that there is a suitable wavelet to compress any given signal.