Title :
Small roundoff noise realization of fixed-point digital filters and controllers
Author :
Amit, Gil ; Shaked, Uri
Author_Institution :
Dept. of Electron. Syst., Tel-Aviv Univ., Israel
fDate :
6/1/1988 12:00:00 AM
Abstract :
A method for finding digital realizations of discrete-time transfer functions by fixed-point arithmetic is presented. The obtained realizations attain very small roundoff-noise intensity. This intensity is significantly smaller than the intensities that have been achieved so far. The method applies many 0-1 coefficients in the realization. It therefore requires a small number of multiplications and additions, and it is significantly faster than many other realization methods. A detailed comparison is made between this method and other existing methods for digital realization. Two different cases are investigated: a Butterworth filtering realization and the realization of an LQG (linear quadratic Gaussian) optimal controller
Keywords :
controllers; digital arithmetic; digital filters; filtering and prediction theory; optimal control; roundoff errors; Butterworth filtering realization; LQG; controllers; digital realizations; discrete-time transfer functions; fixed-point arithmetic; fixed-point digital filters; linear quadratic Gaussian; optimal controller; small roundoff-noise intensity; Computer errors; Degradation; Digital control; Digital filters; Fixed-point arithmetic; Optimal control; Performance analysis; Quantization; Time measurement; Transfer functions;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
