### Abstract

Formulas are presented for the acoustical quantities of a harmonically excited resilient, flat circular loudspeaker in an infinite baffle, which are the sound pressure both on axis and far field, the directivity, and the total radiated power. These quantities are obtained by expanding the velocity distribution in terms of orthogonal polynomials. For rigid and nonrigid radiators this yields explicit series expressions for both the on-axis and the far-field pressure. In the reverse direction, a method of estimating velocity distributions from (measured) on-axis pressures by matching in terms of expansion coefficients is described. Together with the forward far-field computation scheme, this yields a method for the assessment of loudspeakers in the far field and of the total radiated power from (relatively near-field) on-axis data (generalized Keele scheme).

Original language | English |
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Pages (from-to) | 1004-1015 |

Number of pages | 12 |

Journal | Journal of the Audio Engineering Society |

Volume | 57 |

Issue number | 12 |

Publication status | Published - 1 Dec 2009 |

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**Estimating the velocity profile and acoustical quantities of a harmonically vibrating loudspeaker membrance from on-axis pressure data.** / Aarts, Ronald M.; Janssen, Augustus J.E.M.

Research output: Contribution to journal › Article › Academic › peer-review

TY - JOUR

T1 - Estimating the velocity profile and acoustical quantities of a harmonically vibrating loudspeaker membrance from on-axis pressure data

AU - Aarts, Ronald M.

AU - Janssen, Augustus J.E.M.

PY - 2009/12/1

Y1 - 2009/12/1

N2 - Formulas are presented for the acoustical quantities of a harmonically excited resilient, flat circular loudspeaker in an infinite baffle, which are the sound pressure both on axis and far field, the directivity, and the total radiated power. These quantities are obtained by expanding the velocity distribution in terms of orthogonal polynomials. For rigid and nonrigid radiators this yields explicit series expressions for both the on-axis and the far-field pressure. In the reverse direction, a method of estimating velocity distributions from (measured) on-axis pressures by matching in terms of expansion coefficients is described. Together with the forward far-field computation scheme, this yields a method for the assessment of loudspeakers in the far field and of the total radiated power from (relatively near-field) on-axis data (generalized Keele scheme).

AB - Formulas are presented for the acoustical quantities of a harmonically excited resilient, flat circular loudspeaker in an infinite baffle, which are the sound pressure both on axis and far field, the directivity, and the total radiated power. These quantities are obtained by expanding the velocity distribution in terms of orthogonal polynomials. For rigid and nonrigid radiators this yields explicit series expressions for both the on-axis and the far-field pressure. In the reverse direction, a method of estimating velocity distributions from (measured) on-axis pressures by matching in terms of expansion coefficients is described. Together with the forward far-field computation scheme, this yields a method for the assessment of loudspeakers in the far field and of the total radiated power from (relatively near-field) on-axis data (generalized Keele scheme).

UR - http://www.scopus.com/inward/record.url?scp=73949113461&partnerID=8YFLogxK

M3 - Article

VL - 57

SP - 1004

EP - 1015

JO - Journal of the Audio Engineering Society

JF - Journal of the Audio Engineering Society

SN - 0004-7554

IS - 12

ER -