Applications of discrete-time Laguerre networks to envelope constrained filter design

The envelope constrained (EC) filtering problem is concerned with the design of a filter with minimum gain to white input noise and with a response to a given signal that fits into a prescribed envelope. Using the discrete-time orthonormal Laguerre network, the EC filtering problem is posed as a quadratic programming (QP) problem with affine inequality constraints. An iterative algorithm for solving this QP problem is proposed which serves as a basis for the derivation of adaptive algorithms for applications where the parameters of the underlying signal model are either not known or varying with time