This paper presents a coherent method of design of active noise control systems for compact and distributed sources of noise in a three-dimensional non-dispersive propagation medium. An analysis of single-input single-output, single-input multiple-output and multiple-input multiple-output control structures is provided. This focuses on systems in stationary (steady state) conditions. The conditions for the robust operation of such systems on the basis of optimum cancellation, in relation to the controller design, are determined. These conditions are interpreted as constraints on the geometric compositions of the system.
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