This paper presents a coherent method of design of active noise control sys
tems for compact and distributed sources of noise in a three-dimensional no
n-dispersive propagation medium. An analysis of single-input single-output,
single-input multi-output and multi-input multi-output control structures
is provided. Conditions for the robust operation of such systems on the bas
is of optimum cancellation, in relation to controller design, are determine
d. These conditions are interpreted as constraints on the geometric composi
tions of the system. (C) 1999 Academic Press.