Title :
A unified treatment of recursive digital filtering
Author :
Haykin, Simon S.
Author_Institution :
McMaster University, Hamilton, Ontario, Canada
fDate :
2/1/1972 12:00:00 AM
Abstract :
Using the convolution integral, an integro-difference equation is derived for defining the input-output relation of a linear time-invariant filter. This equation is, in turn, used to obtain the various analog-to-digital filter transformations for the digitization of a continuous transfer function, with each transformation corresponding to a specific way of approximating the continuous time excitation.
Keywords :
A/D converters; ADC; Analog-to-digital conversion (ADC); Linear systems, time-invariant discrete-time; Recursive digital filters; Transfer functions; Control systems; Convolution; Digital filters; Filtering; Integral equations; Linear feedback control systems; Linear systems; Nonlinear filters; Stability; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1972.1099880