# Sound ranging

In land warfare, sound ranging is a method of determining the coordinates of a hostile artillery battery using data derived from the sound of its guns (or mortar or rockets) firing. The same methods can also be used to direct artillery fire at a position with known coordinates.

Sound ranging is sometimes confused with sound location (acoustic location), which is location of the source of other sounds that may originate in the air, on the ground or on or below the water's surface. This entry is primarily concerned with artillery use. Sound ranging was one of three methods of locating hostile artillery that rapidly developed in World War I. The others were air reconnaissance (visual and photographic) and flash spotting.

Sound ranging using aural and stop-watch methods had emerged before World War I. Stop-watch methods involved spotting a gun firing, measuring the bearing to it and the length of time it took the sound to arrive. Aural methods typically involved a man listening to a pair of microphones a few kilometres apart and measuring the time between the sound arriving at the microphones. This method appears to have been used by the Germans throughout that war, but was quickly discarded as ineffective by the western allies, who developed scientific methods of sound ranging whose descendants are still used.

The basis of scientific sound ranging is to use pairs of microphones to produce a bearing to the source of the sound. The intersection of these bearings gives the location of the battery. The bearings are derived from the differences in the time of arrival at the microphones.

## Background

### Basic equipment setup

A scientific method of sound ranging system requires the following equipment.

• An array of 4 to 6 microphones extending several kilometres
• A system capable of measuring the sound wave arrival time differences between the microphones.
• A means of analyzing the time differences to compute the position of the sound source.

The basic method is to use microphones in pairs and measure the difference in the time of arrival of a sound wave at each microphone in the pair (inner microphones are members of two pairs). From this a bearing to the origin of the sound can be found from the point mid-way between the two microphones. The intersection of at least three bearings will be the location of the sound source.

Figure 1 illustrates the basic system.

Illustration of the Sound Ranging Operation

Some systems may not allow arbitrary placement of the microphones. For example, they may require the microphones to be placed on a straight line.[1] These constraints would be imposed to simplify the calculation of the artillery position and are not a characteristic of the general approach.

The microphones also may be designed to pick up only the sound of the gun firing. There are three types of sounds that can be picked up by the microphone.

• the gun firing (the desired signal)
• the sound of the shell moving through the air
• the impact of the shell

During World War I it was discovered that the gun firing makes a low rumbling sound that is best picked up with a microphone that is sensitive to low frequencies and rejects high frequencies.[2]

### Example

Figure 2 shows an example of an artillery location problem. Assume that we position three microphones with the following relative positions (all measurements made relative to Microphone 3).

• Distance from Microphone 1 to Microphone 3: $r_5 = 1267.9$ meters
• Distance from Microphone 2 to Microphone 3: $r_4 = 499.1$ meters
• Angle between Microphone 1 and Microphone 2 measured from Microphone 3: 16.177o

These values would be established during an initial survey of the microphone layout.

Example of a Sound Ranging Operation

Figure 2: Example of An Artillery Location Problem.

Assume that two time delays are measured (assume speed of sound $\approx$330 meters per second).

• Microphone 1 to Microphone 2 time delay: 0.455 s $\Rightarrow$ 150 meters
• Microphone 1 to Microphone 3 time delay: 0.606 s $\Rightarrow$ 200 meters

There are a number of ways to determine the range to the artillery piece. One way is to apply the law of cosines twice.[3]

$\left(r_1+r_2\right)^2=\left(r_1+r_3\right)^2 + r_4^2-2\cdot\left(r_1+r_3\right)\cdot r_4 \cos\theta$ ($\triangle$Microphone 3, Microphone 2, Gun)
$r_1^2=\left(r_1+r_3\right)^2 + r_5^2-2\cdot\left(r_1+r_3\right)\cdot r_5 \cos(\theta-\phi)$ ($\triangle$Microphone 1, Microphone 3, Gun)

This is a system of two equations with two unknowns ($\theta$, $r_1$). This system of equations, while nonlinear, can be solved using numerical methods to give a solution for r1 of 1621 meters. While this approach would be usable today with computers, it would have been a problem in World War I and II. During these conflicts, the solutions were developed using one of the following methods.

• graphically using hyperbolas drawn on paper (for a nice discussion of this procedure, see this LORAN example).[4]
• assuming the artillery is far away and using the asymptotes of the hyperbolas, which are lines, to find an approximate location of the artillery.[5]
• Approximate solutions can be generated using sets of metal disks whose radii differ by small increments. By selecting three discs that approximate the situation in question, an approximate solution can be generated.[5]

Sound ranging has a number of advantages over other methods:

• Sound ranging is a passive method, which means that there are no emissions traceable back to the sound ranging equipment. This is different from radar, which emits energy that can be traced back to the transmitter.
• Sound ranging equipment tends to be small. It does not require large antennae nor large amounts of power.

Sound ranging also has a number of disadvantages:

• the speed of sound varies with temperature. Wind also introduces errors. There are means by which to compensate for these factors.[5]
• at a distance, the sound of a gun is not a sharp crack but more of a rumble (this makes it difficult to accurately measure the exact arrival time of the wavefront at different sensors)
• guns cannot be located until they fire
• artillery is often fired in large numbers, which makes it difficult to determine which wavefront is associated with which artillery piece
• every microphone has to be placed and very accurately surveyed to find its coordinates, which takes time
• each microphone has to have a communication channel to the recording apparatus, before effective radio links appeared this meant field cable, which had to be laid and maintained to repair breaks from many causes

Military forces have found various ways to mitigate these problems, but nonetheless they do create additional work and reduce the accuracy of the method and the speed of its deployment.

## History

### World War I

World War I saw the birth of scientific sound ranging. It brought together the necessary sensors, measurement technology, and analysis capabilities required to do effective sound ranging. Like many technology concepts, the idea of using sound to locate enemy artillery pieces came to a number of people at about the same time.

• The Russians claim to have used sound ranging before World War I.[6]
• A German officer, Capt Lowenstein, patented a method in 1913[7]
• The French developed the first operational equipment[8]
• The Americans proposed a scheme early in World War I[9]

World War I provided the ideal environment for the development of sound ranging because:

• electrical processing of sound was becoming mature because of the development of telephone and recording technology
• the technology for recording sound was available (this facilitated making time difference measurements accurate to hundredths of a second)
• the need for counter battery artillery fire provided a strong technology driver

While the British were not the first to attempt the sound ranging of artillery, it was the British during World War I who actually fielded the first effective operational system. British sound ranging during World War I began with crews that used both sound and flash detection. The sound ranging operators used equipment that augmented human hearing. Using the gun flash, the flash crew would determine a bearing to the gun using a theodolite or transit. The sound detection crew would determine the difference in time between the gun flash and the sound of the gun, which was used to determine the range of the gun. This provided the range and bearing data needed for counter battery fire. These methods were not very successful.[10]

In mid-1915 the British assigned the Australian scientist and Nobel Laureate Sir William Lawrence Bragg to the problem.[11] Bragg was a Territorial officer of the Royal Horse Artillery in the British Army. When Bragg came onto the scene, sound ranging was slow, unreliable, and inaccurate. His first task was to investigate what was available, in particular looking at French efforts.

The French had made an important development. They had taken the string galvanometer and adapted it to record signals from microphones onto photographic film. This work had been done by Lucien Bull and Charles Nordmann (an astronomer at the Paris observatory). Processing the film took some minutes but this was not a significant drawback because artillery batteries did not move very frequently. However, the apparatus could not run continuously because of the expenditure of film. This meant that it had to be switched on when enemy guns fired, which necessitated the deployment of Advanced Posts (AP) in front of the microphones which could switch on the recording apparatus remotely via field cable.

Bragg also found out that the nature of gun sounds was not well understood and that care needed to be taken to separate the sonic boom of the shell from the actual sound of the firing. This problem was solved in mid-1916 when one of Bragg's detachment, Cpl William Sansome Tucker, formerly of the Physics Dept, London University, invented the low-frequency microphone. This separated the low frequency sound made by the firing of the gun from the sonic boom of the shell. It used a heated platinum wire that was cooled by the sound wave of a gun firing.

Later in 1916 2Lt WS Tucker formed an experimental sound ranging section in UK and the following year techniques were developed to correct the sound data to compensate for meteorological conditions. Other matters were researched including the optimum layout and positioning of a 'sound ranging base' - the array of microphones. It was found that a shallow curve and relatively short length base was best. With these improvements, enemy artillery could be located accurately to within 25 to 50 meters under normal circumstances.[8]

The program was very well developed by the end of World War I. In fact, the method was expanded to determine the gun location, caliber, and the intended target. The British deployed many sound ranging sections on the Western Front and sections also operated in Italy, the Balkans and Palestine. When the US entered the war in 1917 they adopted the British equipment.[2]

The German aural method was used by the Central Powers. This used an early warning listening post (LP) and a main LP in the centre with two secondary LPs 500–1000 metres slightly to the rear on either side. Stop watches were switched on when the sound reached the main LP, the secondary LP times were converted to a distance (via speed of sound) and circles plotted, another circle was then derived that touched these two circles and the main LP, the centre of this circle was the source of the sound. Corrections were made for conditions affecting the speed of sound. However, late in the war Germany introduced 'objective devices' - directional galvanometers, oscillographs and modified seismographs, with results directly transferred onto paper or photographic film.[12]

### Between the World Wars

Recording unit of French sound ranging system from 1920s

British research continued between the wars as it did in other nations. It appears that in Britain this led to better microphones and recording apparatus using heat sensitive paper instead of photographic film. Radio link was also developed, although this could only connect the microphones to the recording apparatus, it did not enable the APs to switch on the recorder. Another innovation in the late 1930s was development of the comparator. This was a mechanical computer that calculated first order differential equations, it provided a fast means of comparing the coordinates of the fall of shot located by sound ranging with the coordinates of the target and hence deduction of a correction to the fall of shot.

### World War II

During World War II, sound ranging was a mature technology and widely used, particularly by the British (in corps level artillery survey regiments) and Germans (in Beobachtungsabteilungen). Development continued and better equipment was introduced, particularly for locating mortars. At the end of the war the British also introduced multiplexing, which enabled microphones to share a common field cable to the recording apparatus. sound ranging and flash detection photos.

In 1944 it was found that radar could be used to locate mortars, but not guns or rockets. Although the radar should 'see' the shells their elliptic trajectories could not be solved.

The US Marines included sound ranging units as standard parts of their defense battalions.[13] These sound ranging units were active in the Marines both before and during World War II. The US Army also used sound locators.[14] During the Okinawa campaign, the US Army used its sound ranging sets to provide effective counter battery fire.[15] The Japanese tried to counter this effective counter-battery fire with the tactic of "shoot and scoot," which means shooting a small number of rounds and leaving the firing position before the counter-battery fire could arrive. While an effective tactic against counter-battery fire, this approach tends to reduce the effectiveness of artillery fire.

During World War II, the British made extensive use of sound ranging. There are a number of excellent memoirs that address their use of sound ranging for artillery spotting available on the web.[16] This article describes the electronic equipment involved with these operations.[17] A very comprehensive account of British sound ranging units including their positions is [18]

### Korean War

Sound ranging of artillery was done in Korea, but mainly was supplanted by counter-mortar radar and aircraft-based artillery observers. Since anti-radar countermeasures were limited at this time and the UN had air superiority throughout the war, these approaches were simpler and more accurate.[19]

### Vietnam

Most counter battery work in Vietnam was with artillery spotting done using radar or aircraft. Australia deployed a sound ranging detachment 1967-70 in Vietnam, which operated a cross-base to provide all-round observation.[20]

Also during this period the British deployed ad hoc 'Cracker' batteries, with sound ranging and mortar locating radars, to Borneo and Oman.

In the early 1970s an effective VHF radio link was introduced that enabled the APs to switch-on the recording apparatus. Soon after advances in electronics meant that the manual plotting of bearings and some other calculations were replaced by electronic calculators.

Some third world users of sound ranging had the manpower that enabled them to deploy a detachment with every microphone, an unheard of practice in western armies.

### Present-day

Although effective gun-locating radars finally supplemented the counter-mortar radars from the late 1970s onwards, sound ranging is undergoing a renaissance because some armies have retained it in spite of its drawbacks. It appears that some also recognised its potential to operate as an automatic AP for the radars.

The British led the way in a new approach, developed by Roke Manor Research Limited then Plessey, which had developed VHF radio-link sound ranging. This replaced the traditional sound-ranging base with an array of microphone clusters. Each comprised three microphones a few metres apart, a meteorological sensor and processing. Each unmanned cluster listened continuously for sound, calculated the bearing to the source and recorded other characteristics. These were automatically sent to a control post where they were automatically collated and the location of the sound source calculated. Prototypes of the new system, HALO (Hostile Artillery LOcating) were used in Sarajevo in 1995. The production system, ASP (Advanced Sound Ranging Project), entered British service in about 2001. Reportedly, it located hostile artillery at 50 km distance in Iraq in 2003. It is now being adopted by several other armies including the US Marines. A similar system has also been developed in Germany[21] and in Ukraine ( RAZK artillery sound ranging complex ).

Boomerang (countermeasure) is a gunfire location system developed by the US Department of Defense that uses sound to locate and identify small arms fire.

The US government has been showing interest in using sound ranging to determine the location of gunfire in large cities.[22]

## References

1. ^ http://www.photolib.noaa.gov/historic/c&gs/theb2916.htm
2. ^ a b Bragg, William Lawrence. Personal Reminiscences. Retrieved 2006-05-14.
3. ^ J.B.Calvert. "Ranging". Retrieved 2006-05-15.
4. ^ Bowditch, Nathanial. "Hyperbolic Systems". The American Practical Navigator (1995 ed.). Retrieved 2006-05-29.
5. ^ a b c Harry Bateman (January 1918). "Mathematical Theory of Sound Ranging". Monthly Weather Review: 4–11;.
6. ^ Dictionary of Missile and Artillery Terms, 1982, Major Gener5al AP Bogetskiy, Colonel Kusnetsov, Lieutenant Colonel AP Shapovalov; Chief Editor Lieutenant General of Artillery G Ye Perelel'skiy. Foreign Technology Division Translation FTD-ID(RS)T-1988-80
7. ^ Nigel F Evans (3 December 2005). "British Artillery in World War II: Target Acquisition & Counter Battery".
8. ^ a b Mallet, Ross (27 November 1998). The Interplay between Technology, Organization, and Tactics in the First AIF (PDF). University of New South Wales. Retrieved 2006-05-13.
9. ^ Ray Brown. "Historical Tidbit:The Birth of The Seismic Reflection Method in Oklahoma". Archived from the original on 2006-02-03. Retrieved 2006-05-14.
10. ^ Fraser Scott. Artillery Survey in World War I (DOC). Archived from the original on 2006-05-09. Retrieved 2006-05-14.
11. ^ Lawrence Bragg's role in the development of sound-ranging in World War I
12. ^ Ortner; M Christian; The Austro-Hungarian Artillery from 1867 to 1918 Technology, Organization and Tactics; Verlag Militaria; Vienna; 2007; ISMN978-3-902525-13-7
13. ^ Major Charles D. Melson. "Organization and Equipment for the Defense Battalion". Marine Corps History and Museums Division.
14. ^ Appleman et al. "Tactics and Tactical Decisions". Center of Military History - US Army.
15. ^ "Japanese Artillery" (PDF). Combined Arms Research Laboratory.
16. ^ "The 4th Durham Survey Regiment". Sounds like the Enemy. Archived from the original on 2006-02-07. Retrieved 2006-05-14.
17. ^ "Communications for Artillery Location". The Wireless-Set-No19 Group. Retrieved 2007-07-26.
18. ^ Massimo Mangilli-Climpson, 2007, Larkhill's Wartine Locators - The History of Twelve Artillery Survey Regiments (RA and IA) in the Second World War, Pen & Sword, Barnsley, ISBN 978-84415-514-9
19. ^ N. L. Volkovskiy, ed. (2000). The War in Korea 1950-1953:The Use of Artillery. Military Historical Library. ISBN 5-89173-113-4.
20. ^ "Locating Artillery Overview". Locating Artillery Association. Retrieved 2006-05-14.
21. ^ "HALO: Hostile Artillery Locating System" (PDF) (Press release). SELEX Sensors and Airborne Systems. Retrieved 2006-05-14.
22. ^ Lorraine Green Mazerolle et al. (December 1999). "Random Gunfire Problems and Gunshot Detection Systems". National Institute of Justice Research Brief.