A stationary band-limited process is used to construct a wavelet basis. This basis is modified to obtain a biorthogonal sequence which in turn is used to obtain a series representation of the process with uncorrelated coefficients.
Gilbert G. Walter,
"Wavelets based on band-limited processes with a K-L type property", Proc. SPIE 1961, Visual Information Processing II, (27 August 1993); doi: 10.1117/12.150966; https://doi.org/10.1117/12.150966