Noise modeling for nearfield array optimization

Abhayapala, Thushara D.; Kennedy, Rodney A.; Williamson, Robert C.

doi:10.1109/97.774869

Cited by 9 publications

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References 8 publications

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“…At the same time the product is finite and for any converges fast to zero as increases. It can be evaluated for large and fixed and using (16) …”

Section: Error Evaluationmentioning

confidence: 99%

“…The first geometric model of room reverberation is due to Allen and Berkley [11]. This paper became the basis for many subsequent papers (e.g., [12]- [15]) and is heavily cited in journals and conferences, including in microphone array studies [16], [17], speech processing [18], [19], and virtual auditory environments [20]- [22]. The basic idea of the Allen-Berkley model is that the reverberation can be represented as the effect of an infinite number of image sources that are created by reflecting the true acoustic source in room walls.…”

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confidence: 99%

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Fast Evaluation of the Room Transfer Function Using Multipole Expansion

Duraiswami

Zotkin

Gumerov

2007

IEEE Trans. Audio Speech Lang. Process.

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Abstract-Reverberation in rooms is often simulated with the image method due to Allen and Berkley (1979). This method has an asymptotic complexity that is cubic in terms of the simulated reverberation length. When employed in the frequency domain, it is relatively computationally expensive if there are many receivers in the room or if the source or receiver positions are changing with time. The computational complexity of the image method is due to the repeated summation of the fields generated by a large number of image sources. In this paper, a fast method to perform such summations is presented. The method is based on multipole expansion of the monopole source potential. For offline computation of the room transfer function for image sources and receiver points, use of the Allen-Berkley algorithm requires ( ) operations, whereas use of the proposed method requires only ( + ) operations, resulting in significantly faster computation of reverberant sound fields. The proposed method also has a considerable speed advantage in situations where the room transfer function must be rapidly updated online in response to source/receiver location changes. Simulation results are presented, and algorithm accuracy, speed, and implementation details are discussed. For problems that require frequency-domain computations, the algorithm is found to generate sound fields identical to the ones obtained with the frequency-domain version of the Allen-Berkley algorithm at a fraction of computational cost.

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“…At the same time the product is finite and for any converges fast to zero as increases. It can be evaluated for large and fixed and using (16) …”

Section: Error Evaluationmentioning

confidence: 99%