Multidimensional orthogonal FM transforms

We present a novel class of multidimensional orthogonal FM transforms. The analysis suggests a novel signal-adaptive FM transform possessing interesti ng energy compaction properties, We show that the proposed signal-adaptive PM transform produces point spectra for multidimensional signals with unifo rmly distributed samples. This suggests that the proposed transform is suit able for energy compaction and subsequent coding of broadband signals and i mages that locally exhibit significant level diversity, We illustrate these concepts with simulation experiments.