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Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)
Discrete wavelet transform is usually executed by the so-called pyramid algorithm. It, however, requires a proper initialization, i.e., expansion coefficients with respect to the basis of one of the desired approximation subspaces. An interesting question here is how we can obtain such coefficients when only sampled values of signals are available. This letter provides a design method for a digital filter that (sub-)optimally gives such coefficients assuming certain a priori knowledge on thedoi:10.1109/.2001.980964 fatcat:xa4l4vz2czdmjk54okr3pmouiy