Title :
State-space synthesis and analysis of log-domain filters
Author :
Frey, Douglas R.
Author_Institution :
Dept. of Comput. Sci. & Electr. Eng., Lehigh Univ., Bethlehem, PA, USA
fDate :
9/1/1998 12:00:00 AM
Abstract :
The general state-space synthesis of linear filters is reviewed including the use of linear transformations. Then the use of time-varying nonlinear mappings on the state variables is shown to produce equations for the synthesis of linear, linear companding, and log-domain filters. Formulas are developed which underlie the realization of log-domain filters. Design issues relating to realizability, noise, and nonideal performance are discussed using the state-space mathematical formulation
Keywords :
active filters; linear network synthesis; state-space methods; linear companding filter; linear filter; linear transformation; log-domain filter; noise; state-space synthesis; time-varying nonlinear mapping; Circuit synthesis; Digital signal processing; Linear systems; Nonlinear equations; Nonlinear filters; State-space methods; Transfer functions; Vectors;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on