ABSTRACT
When there is a choice of bases for the representation of a signal, then it is possible to seek the best one by some criterion. If the choice algorithm is sufficiently cheap, then it is possible to assign each signal its very own adapted basis, or basis o f adapted waveforms. The chosen basis carries substantial information about the signal; the chosen waveforms are a good match for the signal. If the basis description is efficient, then that information has been compressed.
