PROPERTIES AND APPLICATIONS OF DIGITAL FILTERS WITH NONLINEARITIES
In previous chapters techniques for the analysis of digital filters associated with various nonlinearities have been discussed. We now move onto properties and applications of digital filters associated with various nonlinearities are presented.
ADMISSIBILITY OF SYMBOLIC SEQUENCES
Chapter 6 discusses how the set of initial conditions corresponding to the autonomous or step, responses of a marginally stable second order digital filter associated with two’s complement arithmetic is elliptic if linear or limit cycle behaviors are exhibited. That is, by denoting λ1 and λ2 as the eigenvalues of the system matrix A, if |λi| = 1 ∀i ∈{1, 2} and imag(λi) ≠ 0, where imag(·) denotes ...
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