Abstract
Even dispersion is important for live sound reinforcement systems; however, it needs to be carefully designed when using a linear loudspeaker array. This is because the audience area is often large, while the loudspeakers are placed centrally in this case for convenience, and thus both the level and the frequency balance may not remain reasonably constant for all audiences. To solve this problem, the adaptive genetic algorithm is firstly introduced in the parameters optimization. Secondly, taking the radiation characteristics at different frequencies into account, a linear-phase non-uniform filter bank is proposed to decompose the broad frequency band into several sub-bands. The audio is re-synthesized with the optimized parameters in each frequency band for a linear loudspeaker array. To show the validity of the proposed method, the simulations and the experiments are conducted to demonstrate that the sound pressure level in the audience area is distributed within ± 1.33 dB, ranging from 200 Hz to 4000 Hz.
Highlights
Live sound reinforcement aims to maintain constant listening experience for a large amount of audiences in real listening environments such as theater, cinema, auditoria, and stadium
We focus on providing the broadband constant Sound pressure level (SPL) distribution in the audience area using a linear loudspeaker array ranging from 200 Hz to 4000 Hz
For the optimized SPL distribution measurements, the excitation parameters including the phases optimized by adaptive GA and the optimized magnitudes for flat magnitude responses are applied by LP-non-uniform filter banks (NUFBs) for multi-channel audios synthesis
Summary
Live sound reinforcement aims to maintain constant listening experience for a large amount of audiences in real listening environments such as theater, cinema, auditoria, and stadium. To obtain a constant SPL in the audience area, line loudspeaker arrays have been well designed for sound reinforcement by many researchers. The excitation parameters of loudspeakers are calculated for matching the desired and the reproduced SPL distribution with the control points and the loudspeaker locations These approaches are quite unstable because of the ill-conditioned problem [9] and sufficient only for the specific sound field with high accuracy [10]. We focus on providing the broadband constant SPL distribution in the audience area using a linear loudspeaker array ranging from 200 Hz to 4000 Hz. Firstly, an adaptive GA, which can overcome both the low speed and the premature convergence problems [30], is introduced for the even dispersion goal in narrowband. G H is the Hamiltonian matrix of G. eign(·) denotes the eigenvector of the computing matrix. sin(·) is the sinusoidal function. cos(·) denotes the cosine function
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