Synthesis of the basic parameters of a complete loudspeaker system or an enclosure for a given loudspeaker driver to achieve some desired performance constitutes a major part of the loudspeaker system design problem. A method is described which is suitable for computer solution where the loudspeaker system parameters are chosen to minimize some specified functional. The functional is a measure of the error between some desired characteristic of the system, and the actual characteristic given by the current system parameters. In a practical case the system parameters are subject to constraints; thus a constrained optimization technique is required to minimize the functional. The method is illustrated using a functional dependent upon the error between some desired sound-pressure/frequency response and the sound-pressure/frequency response calculated from an analogous-circuit model of the system. Closed-box, vented-box, and passive-radiator type systems are considered, and the method is applicable to any system that can be modeled. The method is especially suited to those systems for which the model involves a large number of elements or has element values which are frequency-dependent, so that an analytical solution becomes impracticable.
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