Volterra filtering with spectral constraints

One of the major drawbacks of Volterra filters is the large number of parameters associated with such structures. In this paper, it is shown how the Volterra filter can be constrained to yield parsimonious filter structures that are adequately flexible for a large class of filtering problems. Frequency domain constraints on the Volterra kernel are one example. Constrained Volterra filters are also developed for filtering inputs with low rank covariance matrices. The performance of the constrained Volterra filter is studied theoretically and with simulation