TOA bs-1030 User Guide

Page of 60
TOA Electronics Speaker Guide
21
Chapter 5: Using Speaker Specifications
Determining Maximum Output: Sensitivity and Power 
Handling
A thorough system design must establish the maximum SPL required from each speaker at a 
given listening position. In general, a speaker should be able to produce a sustained long-
term average level 15–25 dB higher than the background noise in its area. If the noise level 
is less than 45 dB SPL, the speaker should be able to produce a long-term average level of 
70 dB SPL in the listening area, with undistorted peaks 10–20 dB higher. As noted on page 18, 
a speaker’s rated sensitivity is the on-axis loudness (dB SPL) measured at a specific distance 
that results from applying a specific amount of power (i.e., 1 W @ 1 m). The sensitivity may 
be used to calculate loudness at other distances and power levels. Three specifications are re-
quired to calculate the maximum SPL capability of a speaker in its environment: 
The speaker/transformer’s maximum continuous power rating, or the available 
amplifier power;
The speaker’s sensitivity rating (dB SPL @ 1 m on-axis with 1 W input); 
The distance between the listener and the speaker. 
Using these three specifications, the maximum on-axis output can be calculated (the formulas 
for decibels gained with power and decibels lost with distance are presented in Chapter 4: 
Audio Basics
). Since the formulas use the log function and require a scientific calculator, 
simplified charts (Figure 5-1 and Figure 5-2) are included here for convenience.
Example:  A paging horn in an outdoor area needs to reach an average level of 90 dB SPL at 
80 ft from the horn. A 30 W model is selected with a sensitivity of 112 dB, 1 W @ 
1 m. To allow for short-term transients, 6 dB of headroom is added to the average 
level requirement, yielding a target level of 96 dB SPL.
Question: How much power is needed to reach the target level? 
The rated sensitivity is 112 dB SPL, with 1 W @ 1 m. Use the chart for level change with 
distance (Figure 5-1) to see how much the level is reduced at 80 ft compared to the ref-
erence distance of 1 m (answer: 27.7 dB, or about 28 dB). This tells us that 1 W sensitiv-
ity at 80 ft is 112 – 28 = 84 dB SPL. This is 12 dB less than the target level of 96 dB. Use 
the chart for level change with power (Figure 5-2) to find the power required to increase 
the level 12 dB (answer: about 16 W).