2.5D interior/exterior sound field reproduction and its extension to narrowband speech signals

Sound Field Reproduction of Focused Virtual Sources with Symmetry Sigmoid Regularization Function

“…For convenience, this paper mainly restricts attention to the 2D case where the sound sources are set at horizontal plane. Exemplarily, this paper assumes virtual sound sources as well as secondary sources to be monopole line sources [12,13] .…”

“…e imφ * (13) In order to distinguish between continuousloudspeaker driving function and discrete-loudspeaker driving function, we have the following displacement:…”

“…The reproduction Absolute error (AE) [13] relative to the desired sound pressure is described as follows: (16) where r 0 is the radius of the interest region. P d (x, k) and P r (x, k) represent the desired sound field and the reproduced sound field, respectively.…”

“…It should be noted that the proposed method is not limited to reproduce such a frequency. The rule of thumb [12] suggests that the truncation order of sound field is M = 26; thus to avoid spatial aliasing [13] , the minimum requirement number of loudspeakers is L = 2M +1 = 53.…”