Critical band analysis-synthesis

The formal derivation of an integral transformation which can simulate certain frequency selective (critical bandwidth) properties of the auditory system is given. A parameterized family of analysis-synthesis transform pairs which behave as identities in the absence of perceptual modification is developed from a property of homogeneous functions. The formulation facilitates a flexible choice of analysis frequencies and frequency selective response characteristics. A particular member of the transform famiy is then implemented to simulate frequency selective properties of the peripheral auditory system.