| integral of the product of a function and a shifted and scaled wavelet|
Note 1 to entry: For a function and a wavelet :
where a is the scale parameter, b is the position parameter, and * denotes the complex conjugate.
Note 2 to entry: A discrete wavelet transform is obtained by choosing a finite number of values of the two parameters. The inverse transform expresses the function of time as a superposition of wavelets.