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Effects of source and receiver locations in predicting room transfer functions by a phased beam tracing method
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10.1121/1.3699268
/content/asa/journal/jasa/131/5/10.1121/1.3699268
http://aip.metastore.ingenta.com/content/asa/journal/jasa/131/5/10.1121/1.3699268

Figures

Image of FIG. 1.
FIG. 1.

Comparisons of transfer functions between FEM and PBTM for three absorption cases when a source and receiver are at (0.5, 0.5, 0.5) and (1, 1, 0), respectively, in a unit cube. The symbol ▵ indicates the Schroder frequency of the room, 1033 Hz. (a) α = 0.01, (b) α = 0.05, (c) α = 0.1.

Image of FIG. 2.
FIG. 2.

Convergence of cumulative sound pressures: (a) and (c) 119 Hz, (b) and (d) 968 Hz. (a) and (b) α = 0.01, (c) and (d) α = 0.05.

Image of FIG. 3.
FIG. 3.

Three tested rooms. (a) Unit cube, (b) proportionate room (1.9 × 1.4 × 1 m), (c) disproportionate (5 × 1 × 1 m).

Image of FIG. 4.
FIG. 4.

Examples of predicted transfer function for a source (0.1, 0.1, 0.2) in the cubic room. (a) Receiver at (0.12, 0.12, 0.2), (b) receiver at (0.2, 0.2, 0.2).

Image of FIG. 5.
FIG. 5.

Errors as a function of dSR for the unit cube. ▵: Worst source case; □: The other eight sources; the line and error bars show the mean and 95% confidence intervals. (a) e 1, (b) e 2, (c) e 3. The dotted line indicates the room radius.

Image of FIG. 6.
FIG. 6.

Errors as a function of dSR for the proportionate room. □: Errors for the nine sources; the line and error bars show the mean and 95% confidence intervals. (a) e 1, (b) e 2, (c) e 3. The dotted line indicates the room radius.

Image of FIG. 7.
FIG. 7.

Errors as a function of dSR for the disproportionate. □: Errors for the nine sources; the line and error bars show the mean and 95% confidence intervals. (a) e 1, (b) e 2, (c) e 3. The dotted line indicates the room radius.

Image of FIG. 8.
FIG. 8.

Comparison of the errors between the unit cube and a cube with an edge of 10 m. (a) e 1, (b) e 2.

Image of FIG. 9.
FIG. 9.

Mean e 1 as a function of the normalized distance. (a) Uncorrected errors, (b) corrected errors.

Image of FIG. 10.
FIG. 10.

Simulation errors as a function of the normalized distance for the proportionate room with uniform absorption distribution. (a) e 1, (b) e 2.

Image of FIG. 11.
FIG. 11.

Simulation errors as a function of the source-to-receiver distance for the rectangular room with non-uniform absorption distribution. The dotted line represents the room radius of 0.27 m.

Tables

Generic image for table
TABLE I.

Coefficients for regressions and corresponding coefficients of determination (R 2).

Generic image for table
TABLE II.

Errors for six uniform absorption conditions in the proportionate room. The surface impedance, corresponding normal and random incidence coefficients, and Schroeder frequencies are indicated.

Generic image for table
TABLE III.

e 2 as a function of the center frequency in the proportionate room.

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/content/asa/journal/jasa/131/5/10.1121/1.3699268
2012-05-04
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Effects of source and receiver locations in predicting room transfer functions by a phased beam tracing method
http://aip.metastore.ingenta.com/content/asa/journal/jasa/131/5/10.1121/1.3699268
10.1121/1.3699268
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