Minimization of Maximum Acoustic Pressure Over Space and Frequency

Abstract

This paper investigates the performance of a local active noise control system for broadband disturbance using the method of the maximum acoustic pressure minimization over space and frequency. Local active control only attenuates the disturbance at some specified positions, which is different from global active control where the disturbance is attenuated at all positions. The theory and simulations of the maximum acoustic pressure minimization over space and frequency using single-channel, two-channel, and three-channel systems are presented. The work presented in this paper is the first part of the study and only concerns a plane wave primary field with one, two, and three secondary sources for simplicity. Constrained minimization of the pressure is introduced, to achieve control over the pressure in both frequency and space. The results show that good attenuation is achieved at the microphone location or desired range over space and frequency using a single-channel system. However, better performance could be achieved using a two-channel or a three-channel system. In the next part of the study, a more realistic sound field like a diffuse field will be investigated.