Speaker Placement Agnosticism: Improving the Distance-based Amplitude Panning Algorithm
High-Resolution Color Plots
3x3 Grid Layout
Figure 2: Original DBAP. Rolloff = 6, r_s = 1.073. Top: Plot of a 3x3 grid of loudspeakers with a line showing the movement of the source from the center of the field, extending in a spiral to a point outside the field. Middle: Gains of the each speaker, color coded to correspond to the above figure. Note the flat spot in the third speaker where the percieved motion stalls due to the nonunique projection. Bottom: The power of the entire field as a function of the source’s angle. Notice the undulating power as the source traverses the boundary of the convex hull.
Figure 3: New DBAP. Rolloff = 6, r_s = 1.073. Top: Plot of a 3x3 grid of loudspeakers with a line showing the movement of the source from the center of the field, extending in a spiral to a point outside the field. Middle: Gains of the each speaker, color coded to correspond to the above figure. Bottom: The power of the entire field.
Figure 4: ADBAP. Rolloff = 6. Top: Plot of a 3x3 grid of loudspeakers with a line showing the movement of the source from the center of the field, extending in a spiral to a point outside the field. Middle: Gains of the each speaker, color coded to correspond to the above figure. Bottom: The power of the entire field as a function of the source’s angle.
SPL vs. Angle
These plots show the SPL a listener would experience as a function of both the angle of the virtual source and the ‘‘incoming angle” on a heatmap for a listener placed at the reference (in this case, the origin). That is, the x-axis is the angle of the virtual source in radians and the y-axis is the ‘‘incoming angle” in radians where 0 is directly ahead and π is directly behind a listener facing forward (0 radians). These plots assume all speakers are facing the listener and the SPL is scaled as 1/d^2 for all speakers.
10 Speaker Asymmetrical Layout
Figure 5: Speaker layout and movement of virtual source in the asymmetrical field.
Figure 6: Gain curves for the original DBAP algorithm with projection. Note the very fast drop off in power once the virtual source exits the convex hull.
Figure 7: Gain curves for ADBAP. Although the behavior is much more what is expected, note the spike in power around the first pi when the virtual source closes in on the cluster of speakers 2 and 8.
Figure 8: Gain curves for the version presented in this paper.
Quadraphonic Layout
These plots are not included directly in the paper but compare the performance of each DBAP version in four plots: (1) the field and movement of the virtual source, (2) the output of each speaker as a function of the virtual source’s angle, (3) the total power, and (4) the SPL vs. angle plot for a listener placed at the origin, facing forward.
Nonagon Circular Layout
Same as above but in a circular layout of 9 speakers.
