Coastal ocean dynamics applications radar
Coastal ocean dynamics applications radar (CODAR) describes a type of portable, land-based, High Frequency (HF) RADAR developed between 1973 and 1983 at NOAA's Wave Propagation Laboratory in Boulder, Colorado. CODAR is a noninvasive system that permits to measure and map near-surface ocean currents in coastal waters. It is transportable and offers output ocean current maps on site in near real time. Moreover, using CODAR it is possible to measure waves heights and it provides an indirect estimate of local wind direction.
CODAR utilizes a compact antenna system that consists of crossed loops and a whip for receiving and a whip for transmitting radio pulses. The system can be transported by vehicle and it is capable of being operated from a portable power supply (for modern instrumentation it is recommended a minimum capacity of 1050 Wat. CODAR is capable of operating in virtually all weather conditions (it is tolerable a temperature from 0°F (-18°C) to 90°F (32°C)  and the relatively small dimensions of the antenna system consent CODAR deployment even in highly populated and rocky coastal areas. However, as the signal is rapidly attenuated by land, the antenna has to be mounted as close to the surface water as possible.
The Operating Frequency Range of modern equipments goes from 3 to 50 MHz and it can be programmed for unattended operation for periods of up to two weeks.
The main equipment is cabled to the electronic segment, that is housed near-by in a sheltered environment and contains the system hardware, where information is stored. A minicomputer controls the radar and processes the signals and the operator can communicate with the system through a portable keyboard terminal.
The raw spectral data can be processed on-line to obtain real-time outputs and the final data products can be displayed on a graphics terminal or outputted to a hardcopy plotter. Otherwise, off-line processing at a later date can be accomplished.
Measuring surface currents is the primary result obtained by using CODAR. Ranges achieved and resolution vary with environmental conditions and antenna placement. In general, however, in their long-range mode, modern CODAR can measure out to 100–200 km offshore with a resolution of 3–12 km. By increasing the frequency, resolutions as fine as 200–500 m can be obtained, but the observation range is shortened (15–20 km).
However, the actual range can be limited by radio interferences, high-ocean states and ground conditions in the vicinity of the antennas. Wet and moist sandy soils enhance the ground wave propagation, whereas dry and rocky grounds reduce signal strengths.
A single CODAR system can measure only the component of surface current travelling toward or away from the radar so, to determinate the total surface current vectors, it is necessary to use at least a two-systems set up. A series of CODAR sites can be employed to obtain regional coverage. In a multiple radar configuration, spacing between two radar systems should be approximately 15 to 40 km for long-range open ocean mode and 8 to 20 km for “higher frequency, higher resolution, shorter range” mode.
Typically, CODAR data are averaged over one hour to reduce the noisiness of the sea echo. Therefore, current maps can be produced every hour. This period can be reduced to approximately 20 minutes, however the data may become noisy over such a short period.
CODAR’s measurements are interesting for both military and civil purposes. Main applications are for example coastal engineering and public safety projects, planning of navigational seaways, mitigation of ocean pollution, search and rescue operations, oil-spill mitigation in real time and larval population connectivity assessment. Also, data obtained by using CODAR are used as inputs for global resource monitoring and weather forecasting models and are particularly helpful for tidal and storm-surge measurements. Moreover, from the measurements can be extracted the direction of propagation of wave energy and the period of the most energetic waves, which are important data for many practical applications in design and operation of coastal and offshore structures.
How does it work? (Theory behind its functioning) 
CODAR operates using sky transmission of waves in the HF band (3–30 MHz), as electromagnetic waves in this band have wavelengths that are commensurate with wind-driven gravity waves on the ocean surface. According as the customer necessities, it can be used in single or multi-frequency mode. As the ocean has a rough surface, when a high frequency signal reaches the ocean surface, a portion of the incident energy is scattered back towards the source and the receiver measures the reflected signal. This backscattering (or reflection) produces an energy spectrum at the receiver, even if the energy source is single-frequency, because of the shape and motion of the sea surface. Interpreting the spectral returns for various transmit frequencies is the key to extracting information about the ocean  and, specifically, to measure surface currents.
As a consequence of the Bragg’s scattering law, the strongest received return comes from ocean waves that are traveling directly toward or away from the radar source and whose wavelength is exactly one-half as long as the transmitted radar wave. The return signal is then processed and its spectral analysis provides the sea-echo Doppler spectrum, where two dominant peaks at different frequencies can be recognized).
Displacement of these peaks away from their known frequencies is called “echo Doppler shift” and permits to obtain the radial velocity of a surface current, that is the scatter velocity along the line between the hit surface and the radar. In fact, the magnitude of this component of the velocity is proportional to the amount of the shift. Therefore, CODAR measures this Doppler frequency shift (along with the distance from the radar to the sector and directional angle) to estimate the radial velocity over a sector of the sea surface.
Measuring surface currents 
In order to measure currents, the CODAR equipment computes three components:
- the velocity of incoming waves in the radial direction
- the distance from the radar equipment to the evaluated ocean sector
- the angle the waves are traveling relatively to the CODAR station
Computation of the radial velocity of currents 
The signal sent from the CODAR antenna has a known frequency and it moves at the speed of light. Therefore, the wavelength of the signal is known (wavelength = speed of light / frequency). Exploiting the Bragg’s Law, CODAR maximizes the scattered HF signal, given that the resonance will only occur for the given wavelength:
λ_s = λ_t / (2 * cos(φ) )
where λ_s is the wavelength of surface ocean wave, λ_t is the wavelength of transmitted signal and φ is the angle of incidence between the signal and the ocean surface
As the CODAR antennas are usually placed at sea level, the angle of incidence theta can be assumed to be zero. Therefore, the equation reduces to:
λ_s = λ_t / 2
This means that when the emitted signal hits waves with wavelength equal to one-half of the transmitted signal, the signal that is scattered back to the antenna will be in phase. Therefore, these waves will produce a scattered signal “stronger” and thus easily identifiable, which is measured by the CODAR system. Thus, the current speed is extracted by determining the Doppler Shift of the waves.
However, the above equations represent a simplified model, as they assume that the reflecting waves are not moving. This is of course untrue and, because of the motion, the frequency of the scattered signal (and therefore its wavelength) is not the same as the one of the transmitted signal. In fact, “waves moving toward the receiver increase the return frequency, while waves moving away decrease the return frequency”.
Then a further Doppler shift ( Δf ) is observed and, by measuring it, it is possible to determine the radial velocity ν_s component of the surface current by using the Doppler formula:
Δf = ν_s / λ_s
Computation of the distance to target 
The range to target is calculated starting from the time delay, which is obtained by subtracting the return signal time from the transmitted signal one.
Computation of the angular direction to target 
CODAR is a "direction finding system". The signal is received by two loop antennas and a monopole. Whereas the signal the monopole receives does not vary with the direction of the incoming signal, the signal received by the two loop antennas (positioned at a 90° angle) does vary with direction. This information permits a software to determine the direction of the signal.
Once calculated the radial velocity of currents, distance to target, and the angular direction to target it is possible to determine the current vector and to construct current vector maps. In fact, for the area in which vector data from two CODAR sites overlap, it is possible to calculate the velocity and direction of the current and comparisons with surface drifters and error analysis made in 1979 indicate that CODAR measures surface currents with at least 10 cm/s accuracy. In 2010, retailers of modern CODAR equipments guarantee an accuracy typically < 7 cm/s of the total current velocity and 1–2 cm of the tidal component, in normal environment condition. However, the accuracy of the system depends on several factors, such as signal-to-noise ratios, geometry and pointing errors.
There are some limitations inherent to the system that do not permit certain applications. Here are presented the main practical limitations:
- CODAR does not permit to measure currents and waves in the area closer than 2 km from its location. This uncovered area results from the fact that the receiver is turned off during the pulse transmission. In this lapse of time, any signal backscattered is lost.
- CODAR’s resolution cell size is generally bigger than 5 sq km. This does not permit to use this system for most of the inlets and harbor entrances.
- As discussed before, for a given look angle, a single CODAR station permits to detect only the component of flow traveling toward or away from its location. Radial currents from two or more sites should be combined to obtain vector surface current estimates. Moreover, when using two CODAR stations the so called “baseline problem” can affect the measurement. This occurs when both the instruments measure the same component of velocity. To avoid this problem and resolve properly the current vector, generally two radials must have an angle included by 30° and 150°.
- Barrick et aL, Ocean Surface Currents Mapped by Radar - Science, New Series, Vol. 198, No. 4313 (Oct. 14, 1977), pp. 138-144, http://www.jstor.org/stable/1744926 1977
- see Technical Specification sheet 2010 at http://www.marine.calpoly.edu/getwet/codar.pdf
- High Frequency Radar Measurements of Coastal Ocean Parameters, CETN-I-41 6/86, Coastal Engineering Research Centre, Technical Note. http://chl.erdc.usace.army.mil/library/publications/chetn/pdf/cetn-i-41.pdf
- http://www.codar.com/SeaSonde_gen_specs.shtml, Technical Specification sheet 2010, CODAR OCEAN SENSORS SeaSonde
- J. D. Paduan, H. C. Graber, Introduction to high-frequency radar: reality and myth, OCEANOGRAPHY Vol. 10, NO. 2, 1997, page 38
- K. Andresen, S. Litvin - The Use of CODAR High Frequency Radar to Attain Wave Height Measurements (http://marine.rutgers.edu/mrs/codar/waves/project2.html
- K. Andresen, S. Litvin - The Use of CODAR High Frequency Radar to Attain Wave Height Measurements (http://marine.rutgers.edu/mrs/codar/waves/project2.html)
- B. J. Lipa, D. E. Barrick, Tidal and Storm-Surge Measurements with Single-Site CODAR, JOURNAL OF OCEANIC ENGINEERING, VOL. OE-11, NO. 2, APRIL 1986, pages 241-245
- J. D. Paduan, L. Washburn, High-Frequency Radar Observations of Ocean Surface Currents, Annual Review of Marine Science, 2012
- J. D. Paduan, L. Washburn, 2011 - High Frequency Radar Observations of Ocean Surface Currents
- M. Evans, T. Georges, Coastal Ocean Dynamics Radar (CODAR): NOAA's Surface Current Mapping System, 1979
- J. D. Paduan, H. C. Graber, Introduction to high-frequency radar: reality and mith, OCEANOGRAPHY VoI. 10, NO. 2, 1997, page 37
- NOAA ETL Surface Wave Radar Oceanography
- http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1151297&tag=1, Evans, M.W., and T.M. Georges (1979), Coastal Ocean Dynamics Radar (CODAR): NOAA's surface current mapping system, IEEE Oceans '79, Conference Record, pp. 379–384.
- http://euler.msi.ucsb.edu/papers/Emery_etal_ROW1.pdf, B. M. Emery, L. Washburn, J. A. Harlan, Evaluating radial component current measurements from CODAR high frequency radars and moored in situ current meters.
- http://www.codar.com/SeaSonde_Remote-Unit.shtml, Technical Specification sheet 2010, CODAR OCEAN SENSORS SeaSonde® Remote Unit System Speciﬁcations
- http://marine.rutgers.edu/mrs/codar/waves/projectmain.html, K. Andresen, S. Litvin - The Use of CODAR High Frequency Radar to Attain Wave Height Measurements, Institute of Marine and Coastal Sciences
- http://www.tos.org/oceanography/archive/10-2_fernandez.pdf, D. M. Fernandez, H. C. Graber, J. D. Paduan, D. E. Barrick, Mapping Wind Direction with HF Radar, OCEANOGRAPHY VoI. 10, No. 2, 1997
- http://www.annualreviews.org/doi/pdf/10.1146/annurev-marine-121211-172315, J. D. Paduan, L. Washburn, High-Frequency Radar Observations of Ocean Surface Currents, Annual Review of Marine Science, 2012
- http://chl.erdc.usace.army.mil/library/publications/chetn/pdf/cetn-i-41.pdf, High Frequency Radar Measurements of Coastal Ocean Parameters, CETN-I-41 6/86, Coastal Engineering Research Centre, Technical Note
- http://oceanworld.tamu.edu/resources/ocng_textbook/chapter16/chapter16_01.htm, Ocean Waves, R. H. Stewart, 2005
- http://www.tos.org/oceanography/archive/10-2_paduan1.pdf, J. D. Paduan, H. C. Graber, Introduction to high-frequency radar: reality and myth, OCEANOGRAPHY Vol. 10, NO. 2, 1997, page 38
- http://marine.rutgers.edu/mrs/codar/waves/project2.html, K. Andresen, S. Litvin - The Use of CODAR High Frequency Radar to Attain Wave Height Measurements