Sound System Design Research Report
Hadi Sumoro
Contents
1. Summary 2
2. Statement of the Design Project 3
3. Analysis of the Existing Sound System 4
A. List of Equipments and Settings 4
B. Description and Analysis of the Installed Sound System 4
C. Calculation 6
4. New Sound System Design Proposal 7
A. Overview 7
B. Room Data 7
C. Calculation 7
D. Analysis 11
E. Conclusion and Installation 12
5. Documentation 13
I. Summary
As a
II. Statement of the Design Project
The Norman auditorium is equipped with 2 sound systems. The music/program is being handled with a type 4A system, and the lecture is being handled with the ceiling distributed loudspeakers. The hypothesis of the wrong installation of the sound systems and a new design of a sound system in this auditorium is presented in this research report.
III. Analysis of the Existing Sound System
A.
List of equipments and settings
Distributed ceiling speakers: JBL 2105H
Sensitivity: 94 dB, 1W, 3ft
Impedance: 8ohms
Diameter: 4.5” cone driver
Power: 50 watts
Frequency range: 300Hz - 15 KHz
Coverage
Angle: 110![]()
Voice compressor: Urei 1176LN (low threshold, 20:1 ratio)
Program compressor: Urei 1178 (medium threshold, 8:1 ratio)
Equalizer: Rane PE15
Power amplifier to the distributed ceiling speaker: Crest Audio 1501A
Power amplifier to the program speaker: Crest Audio CC151
Wireless mic receiver: Telex FMR-2 and Shure ULX wireless
Automatic mixer: JBL 7510B
Program mixer: Urei 1620
Podium monitor: Soundolier MVXA-195
Note: Both compressors are set to
medium-fast attack and medium release
B.
Description and analysis of the installed sound system
The auditorium is equipped with 2 sound systems. The distributed ceiling sound system which is used for the lecture, and stereo loudspeakers which are used for program/music use.
This hall is used
primarily for lecture, the music/program speakers aren’t used a lot. There isn’t
any specification document for these homemade speakers. The frequency range of
the speaker is wide and the sound pressure level distribution can be considered
good from the very back row up to the middle row. The front rows don’t get good
coverage from the speaker position and aiming angle (see documentation chapter).
To get a good coverage in this hall with two
speakers hung in the front, the vertical angle of the loudspeakers must be very
wide, up to 80
. It is recommended to put 2 pair of stereo speakers to cover
the back-middle area and the middle-front area to fix the coverage uniformity.
The distributed ceiling system can be perfect for this lecture hall, but there’s a misalignment on the system. There are 5 rows of the speakers, and each row contains 7 speakers. The spacing for each speaker (in a line/row) can be rounded up around 8.2ft. The back ceiling height is 10’6”, and it is 21’ at the front. At the back, each loudspeaker projects a coverage radius of 9.2ft (measured in sitting position), this gives us a center to center layout pattern, which will deliver a perfect level for the listener from the middle to the back rows. However, at the front where the ceiling height reaches 21’, the coverage radius of the loudspeakers is reaching 24’ (calculation is explained below).
It is difficult to listen and understand spoken words from the middle to the front area because of the comb filtering and the need of more gain of the front area ceiling loudspeakers. This can be fixed by putting more gain (adding an additional amplifier) to the 1st-3rd row of the loudspeakers and disabling some of them to reduce the comb filtering caused by the overlap coverage.
C.
Calculation
The coverage area radius of the ceiling loudspeaker is determined by:
R = (h-l)tan![]()
h = floor to ceiling height
l = 4ft for sitting position
= the driver coverage
angle (110 degrees for JBL 2105H)
Taking h equals 10’6” at the back and 21’ at the front, the coverage radius area at the back is 9.2ft and 24.3ft at the very front row.
IV. New Sound System Design Proposal
A.
Overview
The room is considered wide but it’s not long. Delay can be disregarded because the room length doesn’t exceed 30 feet. The problem is more into the width of the room and calculating the right aiming angle/position for the loudspeakers. The cheaper way to provide a sound system in this hall (compared to the distributed ceiling and the stereo loudspeaker) is a central cluster system (with four speakers). Since the hall is mainly used for lecture, the music/program can be played in mono for a certain occasion.
B.
Room data
|
Volume: 47019.3 |
EAD = 4 ft |
|
Room Constant: 2445.08 |
D |
|
Surface area: 9198.14 |
D |
|
|
D |
|
Ambient noise level: 55 dB (A) |
T |
Note: the calculation page for these
calculations is not included in this report.
C.
Calculation
The calculations are attached on the following pages.
1. Determining the number and coverage angle of the loudspeakers needed
2. Determining the PAG and NAG
3. Determining the power needed (EPR)


D.
Analysis
As we can see
from the calculation page 1, the horizontal coverage angle needed is 84.36
-120
and 80
vertical coverage angle for the whole seating area. This
shows that we need 2 speakers to cover the front and the back area, which has
40
vertical coverage angle each and 2 speakers to cover the left
and right seating area. The two bottom speakers (those are covering the
front-middle rows) need 60
horizontal coverage and the two top speakers (which are
covering the back-middle rows) need 50
horizontal coverage. In summary, we need 2 speakers with 40
vertical coverage angle and 60
horizontal coverage angle to cover the front-middle seating
area, and 2 speakers with 40
vertical coverage angle and 50
horizontal coverage angle to cover the back-middle seating
area.
The minimum
directivity of the speaker can be calculated to get a minimum 15%
. Q = ![]()
Q
= ![]()
10
Q
=![]()
2
From calculation page one and two, the speakers needed for this auditorium are two 12” single cone driver speakers for the top, and two 8” single cone driver speakers for the bottom.
E.
Conclusion and Installation
By taking the middle acoustics diffuser panel that is already installed in the auditorium and substituting the middle part with a central cluster system, the sound system proposed will work more efficiently and perform better performance (and coverage uniformity) to the audience this auditorium.
The equipments needed for the new sound system are listed below:
·
two 12” single cone driver speakers with 40
vertical coverage angle and 50
horizontal coverage angle, and sensitivity 90dB, 1W, 1m
·
two 8” single cone driver speakers with 40
vertical coverage angle and 60
horizontal coverage angle, and sensitivity 90dB, 1W, 1m.
· two stereo power amplifiers, one 250W stereo power amplifiers for the 12” speakers to cover the back-middle seating area, and one 200W stereo power amplifiers for the 8” speakers to cover the front-middle seating area.
Since the auditorium is equipped with a stereo Crest Audio power amplifier CC151, 500W, we can arrange those four loudspeakers connection to be fed by this amplifier. This will reduce the cost of the new sound system.
CORRECTION:
The calculation page 3 has errors, the efficiency should be in percent. Thus the results are about 20dB too high.
PICTURES AND DOCUMENTATIONS