It is very difficult to design an underwater communication system because of multipath, Doppler effects, noise, and attenuation. These factors lead to errors in the communication performance and maximum propagation distance. In this study, we calculate the distance that can be realized using the directsequence code division multiple access (DSCDMA) technique with directsequence spread spectrum (DSSS) in an underwater communication system considering only the attenuation and noise. We also compare the estimated and calculated propagation distances obtained for several different scenarios.
1. Introduction
Over the past few decades, underwater acoustic communication (UWAC) has been studied by many researchers. Recently, these studies have focused on areas such as pollution monitoring for environmental systems, remotecontrol operations in the marine oil industry, the collection of scientific data from the deep sea, and the localization of submarines. In many commercial and military applications, the need for realtime communication with submarines and deepsea unmanned systems has increased. The main restrictions when transmitting signals underwater are the characteristics of the sea, which fluctuate rapidly in a complex manner. The channel environment for UWAC in shallow water affects the propagation velocity of signals depending on the depth of the water, the distribution of the water temperature, and the salt concentration.
It is difficult to communicate in underwater environments for many reasons, such as multipath effects, Doppler effects, noise, and attenuation. These lead to errors in the communication performance and maximum propagation distance that can be realized. In particular, the multipath propagation phenomenon appears because of wave reflection in the sea level and the ocean floor. For these reasons, UWAC has more limitations compared to terrestrial radio communications. Further, with UWAC, it is difficult to increase the communication capacity, which depends on the signal bandwidth, because UWAC uses a very low carrier frequency in the ultrasonic band compared with terrestrial radio communications owing to the media channel characteristics. Nevertheless, the underwater channel is used in UWAC, and it is commonly realized using sound waves or acoustic communications.
Directsequence code division multiple access (DSCDMA)
[1
,
2]
, orthogonal frequencydivision multiplexing (OFDM)
[1
,
3

5]
, and multiinput multioutput (MIMO)
[1
,
6]
, modulation and error correction
[7]
, and others
[8

11]
techniques that can transmit highspeed data are commonly employed in UWAC.
In this study, we calculate the propagation distance that can be realized using the DSCDMA technique with directsequence spread spectrum (DSSS) in underwater communication systems, considering only the attenuation and noise as limiting factors. We also compare the estimated and calculated distances obtained for different scenarios.
2. Attenuation and Noise Condition for Underwater Acoustic Transmission of DSCDMA
A unique property of acoustic channels is the dependence of the path loss on the signal frequency. This dependence exists because of absorption, i.e., the conversion of acoustic energy into heat. In addition to absorption loss, the signal experiences a spreading loss that increases with distance. The overall path loss is given by Eq. (1).
where ƒ is the signal frequency and
l
is the transmission distance, which is determined with respect to some
lr
. The pathloss exponent
k
models the spreading loss, and it usually ranges from 1–2 for cylindrical and spherical spreading, respectively. The absorption coefficient 𝑎(ƒ) is an increasing function of the frequency, which can be obtained using an empirical formula. It is interesting to note that 10 log(𝑎(ƒ)) ≈ 𝑎0 + 𝑎1ƒ + 𝑎2ƒ2 for frequencies up to about 50 kHz.
In an acoustic channel, the noise comprises ambient noise and sitespecific noise. The ambient noise, which is always present, may be modeled as Gaussian noise, but it is not white, and its power spectral density (PSD) decays at approximately 18 dB/decade.
If we define a narrow band of frequencies of width Δƒ around some frequency ƒ, the signaltonoise ratio (SNR) in this band can be expressed by Eq. (2).
where
Sl
(ƒ) is the PSD of the transmitted signal, and the power may be varied according to the distance.
3. DSCDMA Technique with Gaussian White Noise
In this section, we present a case study that involves the application of only Gaussian white noise in a DSCDMA receiver with DSSS. In order to perform the experiment in the case study, we organize an experimental device, as shown in
Figure 1
.
Experimental device.
In
Figure 1
, we use as the source a transducer with a resonant frequency of 36 kHz, an operating depth of 50 m, and an operating temperature of 25℃.
Figure 2
represents the block diagram that we employed when considering only additive white Gaussian noise (AWGN) during a review of real conditions in UWAC.
Block diagram for additive white Gaussian noise.
In our experiment, we estimate the distance as 50 m. To determine the time of flight (TOF), we first determine the speed of sound at a depth of 50 m (the operating depth of the transducer), and we can obtain an estimate of the TOF using the estimated distance.
The velocity of sound in seawater varies with water pressure, temperature, and salinity, and it is calculated using the Del Grosso or UNESCO formula. The temperature of the seawater is assumed to be 4℃ at a depth of 1000 m, and 2℃ at a depth of 3000 m or more, as shown in
Table 1
.
Velocity of sound
From
Table 1
, we obtain a graph of the velocity of sound as shown in
Figure 3
. We can obtain the corresponding velocity of sound at a certain depth. Now, we choose a channel depth of 50 m with a salinity of 34%. From
Table 1
and
Figure 1
, we obtain the speed of sound as 1595.496 m/s. Therefore, we obtain the following TOF as Eq. (3) because we can calculate the distance using the formula: distance = speed × time. We perform the conversion using sample delay numbers, and we obtain a delay for 23,817 samples. Therefore, we can estimate the following values: sample delay = 23,800 samples, TOF = 0.62676 s, distance = 1000 m.
Velocity of sound.
We consider the underwater operating conditions to determine the following communication parameters. The transmitting frequency, operating depth, operating temperature, and wind velocity are 36 kHz, 50 m, 25℃, and 0 m/s, respectively. We have to find the sound level that corresponds to these conditions. To do this, we use the PSD of the ambient noise. From the PSD data of the ambient noise, we found that for a frequency of 36 kHz and a wind velocity of 0 m/s, the sound level of ambient noise is 30 dB. Furthermore, we added ambient noise to the transmitted signal with a delay equaling 23,800 samples. We obtained the following calculated results.
Figure 4
shows the transmitted signal with a frequency 36 kHz. To generate ambient noise of 30 dB, we first generate a random signal and then perform a BoxMuller transform. We add noise in order to vary the AWGN.
Figure 5
shows the generation of the adjustable white Gaussian noise.
Transmitted signal with a frequency of 36 kHz.
Process for the generation of adjustable white Gaussian noise. SNR, signaltonoise ratio; AWGN, additive white Gaussian noise.
Figure 6
shows the generated random signal. To generate the BoxMuller transformed noise, we use the formula in Eq. (3).
Generated random signal.
We obtain the graph of signal X, as shown in
Figure 7
.
Generated BoxMuller transformed noise.
The next step includes the adjustment of the previously generated noise after the BoxMuller transformation into an AWGN with a sound level equal to 30 dB.
Mathematically, we represent the AWGN using Eq. (4).
Using Eq. (4), we obtain
Figure 8
for an AWGN of 30 dB.
Additive white Gaussian noise of 30 dB.
We need to modulate the signal and calculate the TOF. To do this, we have to add the white Gaussian noise signal to the transmitted signal, including the sample delay of 23,800 samples, in order to modulate the final received signal. Then, we take the cross correlation of the final signal with the transmitted signal to calculate the TOF.
Figure 9
shows that the AWGN signal is combined with the transmitted signal. The delay sample can be computed using MATLAB as a value of 23,778 samples.
Figure 10
depicts the delay of 23,778 samples, which are the final signals at the receiver.
Additive white Gaussian noise signal plus to transmitted signal.
Delay of 23,778 samples at the receiver.
Finally, we can calculate the TOF using Eq. (5).
where the TOF is the time of flight, DS is the number of delay samples, and SF is the sample frequency.
From Eq. (5), we obtain the TOF as 0.62573 s.
We also calculate the distance using Eq. (6).
In
Table 2
, we present a comparison of the estimated and calculated values for the TOF and distance.
Comparison of estimated and calculated values for the time of flight and distance
Comparison of estimated and calculated values for the time of flight and distance
We also consider the following scenarios:

Case 2: shipping activity 0.5 and wind speed 0 m/s. (48 dB)

Case 3: shipping activity 1 and wind speed 0 m/s. (48 dB)

Case 4: shipping activity 0 and wind speed 10 m/s. (25 dB)

Case 5: shipping activity 1 and wind speed 10 m/s. (25 dB)
We obtain the estimated time, estimated distance, and calculated distance for each case, and we present them in
Table 3
.
Result for estimated time, estimated distance, and calculated distance for each case
Result for estimated time, estimated distance, and calculated distance for each case
4. Conclusions
In this study, we estimate and calculate the propagation distance for the DSCDMA technique with DSSS in an underwater communication system, considering only the limitations due to the attenuation and noise. Based on our comparison of the estimated and calculated distances, we find that there is little difference between them in an underwater system. This implies that we can apply the proposed calculation method to determine the propagation distance in an underwater system for DSCDMA communications, even though underwater systems are prone to attenuation and noise.
Conflict of InterestNo potential conflict of interest relevant to this article was reported.
Acknowledgements
This research was a part of the project titled ‘R&D center for underwater construction robotics’, funded by the Ministry of Oceans and Fisheries (MOF) and Korea Institute of Marine Science & Technology Promotion (KIMST), Korea.
BIO
YoungPil Lee received his B.S. and M.S. from Department of Electronic Engineering, Sunchon National University, Korea, in 2006 and 2008, respectively. He worked at REDONE TECHNOLOGIE from 2006 to now as a senior researcher. His research interests include industrial communication, robot control and real time motion control.
YungSeon Moon received his B.S., M.S., and Ph.D. from Department of Electronic Engineering, Chosun University, Korea, in 1983,1985 and 1989, respectively. He worked at Sunchon National University from 1992 to now. His research interests include industrial communication, robot control and real time motion control. He is member of KIEE, KIECS and KIIS
Nak Yong Ko received his B.S., M.S., and Ph.D. degrees from the Department of Control and Instrumentation Engineering, Seoul National University, Korea, in the field of robotics. He has been at the Dept. Control, Instrumentation, and Robot Engineering, Chosun University, Korea, since 1992. During 19961997 and 20042005, he worked as a visiting research scientist at the Robotics Institute of Carnegie Mellon University. His research interests include autonomous motion of mobile robots and underwater robots (localization, map building, navigation, planning and collision avoidance), and manipulator force/torque control.
HyunTaek Choi received his B.S., M.S., and Ph.D. degrees from the Department of electronics engineering Hanyang University, Korea, in the field of control and robotics. During 19931995, he worked as a researcher at KT Research and Development Center. During 20002003, he worked as a post doctorial researcher at the Dept. Mechanical Engineering in University of Hawaii System. He is working as a senior researcher at the Korea Research Institute of Ships and Ocean Engineering (KRISO) since 2003. His research interests include underwater robotics, ocean systems engineering, and robust control.
Linyun Huang received the Bachelor’s degree in the Department of Electronic Science and Technology from MinJiang University, FuJian, China. Since 2014, she has been a M.S. student in Department of Biomedical and Electronic Engineering form Chonnam National University Yeosu, Korea.
Youngchul Bae received his B.S., M.S., and Ph.D. from the Department of Electrical Engineering, Kwangwoon University, Korea, in 1984, 1985, and 1997, respectively. He worked at Korea Electric Power Company (KEPCO) during 19861991, and also worked at Korea Institute of Science and Technology Information (KISTI) during 19911997 as a senior researcher. He is currently professor at the Division of Electrical, Electronic Communication and Computer Engineering, Chonnam National University, Yeosu, Korea. His research interests include nonlinear dynamics, chaos dynamics, robot control, intelligent system and motor control. He is member of KIEE, KIECS and KIIS.
Tel: +82616597315, Fax: +82616597310
Email: ycbae@chonnam.ac.kr
Ranjan A.
,
Ranjan A.
2013
“Underwater wireless communication network,”
Advance in Electronic and Electric Engineering
3
(1)
41 
46
Kang H. H.
,
Han W. O.
2012
“Performance analysis of variable rate multicarrier CDMA under an underwater acoustic channel,”
Journal of the Korea Institute of Electronic Communication Sciences
7
(1)
33 
38
Gendron P. J.
2006
“Orthogonal frequency division multiplexing with onoffkeying: noncoherent performance bounds, receiver design and experimental results,”
US Navy Journal of Underwater Acoustics
56
(2)
267 
300
Stojanovic M.
2006
“Low complexity OFDM detector for underwater acoustic channels,”
Proceedings of OCEANS 2006
Boston, MA
1 
6
DOI : 10.1109/OCEANS.2006.307057
Im Y. W.
,
Kang H. H.
2010
“Performance analysis of an adaptive OFDM over an underwater acoustic channel,”
Journal of the Korea Institute of Electronic Communication Sciences
5
(5)
509 
515
Li B.
,
Zhou S.
,
Stojanovic M.
,
Freitag L.
,
Willett P.
2008
“Multicarrier communication over underwater acoustic channels with nonuniform Doppler shifts,”
IEEE Journal of Oceanic Engineering
33
(2)
198 
209
DOI : 10.1109/JOE.2008.920471
Labrador Y.
,
Karimi M.
,
Pan D.
,
Miller J.
2009
“Modulation and error correction in the underwater acoustic communication channel,”
International Journal of Computer Science and Network Security
9
(7)
123 
130
Lee D.
,
Yang Y. M.
2013
“Twodimensional localization problem under nonGaussian noise in underwater acoustic sensor networks,”
Journal of Korean Institute of Intelligent Systems
23
(5)
418 
422
DOI : 10.5391/JKIIS.2013.23.5.418
Noh S.W.
,
Ko N. Y.
,
Choi H. T.
2015
“Implementation and performance comparison for an underwater robot localization methods using seabed terrain information,”
Journal of the Korean Institute of Intelligent Systems
25
(1)
70 
77
DOI : 10.5391/JKIIS.2015.25.1.070
Son H.
,
Park J.
,
Joo Y.
2013
“Intelligent range decision method for figure of merit of sonar equation,”
Journal of the Korean Institute of Intelligent Systems
23
(4)
304 
309
DOI : 10.5391/JKIIS.2013.23.4.304
Shin D.
,
Na S. Y.
,
Kim J. Y.
2005
“Fuzzy distance estimation for a fish robot,”
International Journal of Fuzzy Logic and Intelligent Systems
5
(4)
316 
321
DOI : 10.5391/IJFIS.2005.5.4.316