This function is the standard method of calculating the absorption of sound in air (ISO 9613-1).
absorptionAir(f, p, t, h, pr = 101.325, tr = 293.15, to = 273.16)
absorptionAir(f, p, t, h, pr = 101.325, tr = 293.15, to = 273.16)
f |
The frequency of the sound source in Hz |
p |
The ambient atmospheric pressure in kPa |
t |
The ambient atmospheric temperature in C |
h |
The relative humidity as a percent |
pr |
The standard pressure at mean sea level |
tr |
The standard temperature in Celcius (293.15 in kelvin) |
to |
The triple-point isotherm temperature |
The sound attenuation rate in dB/m
#How much are Malayan tapir calls (15 kHz) absorbed in a tropical region #(30 deg C) assuming a humidity of 80% and standard pressure (101.325)? absorptionAir(15000, 101.325, 30, 80)
#How much are Malayan tapir calls (15 kHz) absorbed in a tropical region #(30 deg C) assuming a humidity of 80% and standard pressure (101.325)? absorptionAir(15000, 101.325, 30, 80)
This function is a simplified method of calculating the absorption of sound in water proposed in Ainslie and McColm, 1998 and based on Francois and Garrison, 1982.
absorptionWater(f, pH = 8, t = 0, s = 35, z)
absorptionWater(f, pH = 8, t = 0, s = 35, z)
f |
The frequency of the sound source in kHz. |
pH |
The average acidity or pH of the water. Default is 8. |
t |
The average temperature of the water in Celsius. Default is 0. |
s |
The average salinity of the water in parts per thousand (ppt). Default is 35 ppt. |
z |
The depth in km. |
The sound attenuation rate in dB/km
#How much are blue whale calls (30 kHz) absorbed in a tropical region #(30 deg C) assuming a salinity of 35 ppt, pH of 8, and a depth of 5 km? absorptionWater(30, 8, 30, 35, 5)
#How much are blue whale calls (30 kHz) absorbed in a tropical region #(30 deg C) assuming a salinity of 35 ppt, pH of 8, and a depth of 5 km? absorptionWater(30, 8, 30, 35, 5)
This function either adds, subtracts or averages dB values specified in function. This is for dB values in re to power, intensity or pressure.
opDB(dbs, PL, op = "add")
opDB(dbs, PL, op = "add")
dbs |
A vector of dB values of all the same reference. |
PL |
Should be 10 if dB measurements were for intensity or power and 20 if dB measurements were for pressure. |
op |
Default = 'add'. Can be 'add', 'sub', or 'avg' to add, subtract, or average, respectively. |
A sinlge dB value
#Given a set of intensity values, add them. opDB(c(100, 101, 127, 96), 10)
#Given a set of intensity values, add them. opDB(c(100, 101, 127, 96), 10)
This function finds the maximum detection range of a given call.
rmax(sl, nl, dt, d, a = 0, xaxis = 25)
rmax(sl, nl, dt, d, a = 0, xaxis = 25)
sl |
Source level of the signal of interest, as measured in dBs. |
nl |
Noise Level or background ambient noise in the recorder’s local environment. |
dt |
Detection Threshold or the additional dBs the signal of interest must achieve above ambient noise conditions in order to be detected by the receiver. |
d |
Depth |
a |
The absorption coefficeant given to you by the absorptionAir or absorptionWater formula. |
xaxis |
Exaggerated max distance. This gives the largest distance to evaluate in order to find the intercept of your detection threshold and propogation of the source level. |
The maximum detection range in meters
# SL= 195, NL = 82.9897, DT = 10, TR = 2500 rmax(sl=195,nl=82.9897,dt=10,d=2500*2, xaxis=10000000)
# SL= 195, NL = 82.9897, DT = 10, TR = 2500 rmax(sl=195,nl=82.9897,dt=10,d=2500*2, xaxis=10000000)
This function is a reformated version of Snell's law that finds reflection or refraction angle given the two mediums longitudinal wave velocities.
snell(ang, v1, v2)
snell(ang, v1, v2)
ang |
The known angle of relfection or refraction |
v1 |
The longitudinal wave velocity of medium where angle (refraction or reflection) is known given in m/s. |
v2 |
The longitudinal wave velocity of medium where angle (refraction or reflection) is unknown given in m/s. |
The opposing angle of reflection or refraction, respectfully
# Calculate the reflection angle given the angle of a black-tailed godwit sound #source is 64 degrees, the speed is 1564 m/s in the first medium and 1494 m/s #in the second medium. snell(64,1564,1494)
# Calculate the reflection angle given the angle of a black-tailed godwit sound #source is 64 degrees, the speed is 1564 m/s in the first medium and 1494 m/s #in the second medium. snell(64,1564,1494)
This function finds the average speed of sound in water or air (c) in m/s given information on temperature, salinity, and depth.
soundSpeed(t, med = "air", s = NULL, z = NULL)
soundSpeed(t, med = "air", s = NULL, z = NULL)
t |
The temperature in °C |
med |
The medium sound is traveling through |
s |
The salinity in parts per thousand (ppt) |
z |
The depth in m |
The speed of sound in m/s
#Speed of sound in 30°C water with a salinity of 2000 ppt and a depth of # 2010 m soundSpeed(30, "water", 2000, 2010)
#Speed of sound in 30°C water with a salinity of 2000 ppt and a depth of # 2010 m soundSpeed(30, "water", 2000, 2010)
This function calculates the ambient noise level (NL; dB re. 1 microPa) in a deep-water marine environement.
specLvlGraph(freqBand, shipT = -1, seaState = -1, wSpeed = 0, boolR = TRUE)
specLvlGraph(freqBand, shipT = -1, seaState = -1, wSpeed = 0, boolR = TRUE)
freqBand |
The frequency band of interest |
shipT |
The intensity ship traffic in the area * 1 - 2 low ship traffic * 3-4-5 standard ship traffic * 6 - 7 heavy ship traffic * 8 - 9 intense ship traffic |
seaState |
The sea state as specified by the National Weather Service |
wSpeed |
The wind speed in miles per hour (mph) |
boolR |
Boolean of whether you want the value printed out in a string. Should be true for HW problems. |
The noise level (NL) in dB re. 1 microPa
Matthew Duggan, K. Lisa Yang Center for Conservation Bioacoustics, Cornell University.
Wenz, G. M. (1962). Acoustic ambient noise in the ocean: Spectra and sources. The Journal of the Acoustical Society of America, 34(12), 1936-1956.
Urick, R. J. (1975). Principles of underwater sound v.2.
Zimmer, W. M. (2011). Passive acoustic monitoring of cetaceans. Cambridge University Press.
specLvlGraph(c(28,33), ship=4,seaState = 1, wSpeed = 10, boolR = TRUE)
specLvlGraph(c(28,33), ship=4,seaState = 1, wSpeed = 10, boolR = TRUE)
This function finds the length of a sound wave, known as the wavelength (m), or frequency of a sound (Hz), given the identity of the input. The speed of sound is the default in air (340 m/s). You may calculate your own value for c relative to the conditions present in your ecosystem of study via soundSpeed().
wof(b, c = 340)
wof(b, c = 340)
b |
The known wavelength (m) or frequency (Hz). |
c |
The speed of sound in m/s. As a general rule of thumb, however, c is equal to 1500 m/s in saltwater and 350 m/s in air. Note that the distinction between freshwater and saltwater is important. Sound speed is faster in saltwater than freshwater. |
The unknown wavelength (m) or frequency (Hz) given the identity of input a.
# Given a frequency of 80 Hz in air, what is the wavelength? wof(80000) # Given a wavelength of 0.004 m in salt water, what is the frequency? wof(0.004, c=1500)
# Given a frequency of 80 Hz in air, what is the wavelength? wof(80000) # Given a wavelength of 0.004 m in salt water, what is the frequency? wof(0.004, c=1500)