MULTIRESOLUTION FLUX DECOMPOSITION

Geophysical variables are orthogonally decomposed by averaging time se ries using different averaging lengths, referred to as a (Haar) multir esolution decomposition. This simple and economic decomposition is ass ociated with cospectra that formally satisfy Reynolds averaging rules for each averaging length. The multiresolution decomposition provides a natural estimate of the random error in estimating a mean turbulent flux. The Fourier and multiresolution decompositions are compared usin g aircraft data from BOREAS.