We present a novel class of multidimensional orthogonal FM transforms. The analysis suggests a novel signal-adaptive FM transform possessing interesting energy compaction properties. We show that the proposed signal-adaptive FM transform produces point spectra for multidimensional signals with uniformly distributed samples. This suggests that the proposed transform is suitable for energy compaction and subsequent coding of broadband signals and images that locally exhibit significant level diversity. We illustrate these concepts with simulation experiments.
Bibliographical noteFunding Information:
Manuscript received September 23, 1999; revised September 22, 2000. This work was supported in part by the Air Force Office of Scientific Research, Air Force Systems Command, USAF, under Grant Number F49620-93-1-0307, and by the Army Research Office under Contract DAAH 049510494. The associate editor coordinating the review of this manuscript and approving it for publication was Prof. Glenn Healey.
- Orthogonal transforms