Radio Frequency (RF) power is measured in milli Watts (mW) or, more usefully, in a logarithmic scale of decibels (dB), or decibels referenced to 1mW of power (dBm). Since RF power attenuates as a logarithmic function, the dBm scale is most useful.
Here are some examples of how these scales relate:
1mW = 0dBm
A 2-fold increase in power yields 3dBm of signal.
2mW = 3dBm
A 4-fold increase in power yields 6dBm of signal.
4mW = 6dBm
A 10-fold increase in power yields 10dBm of signal.
100mW = 10dBm
A 100-fold increase in power yields 20dBm of signal.
100mW = 20dBm
A 1000-fold increase in power yields 30dBm of signal.
1W = 30dBm
Industrial applications typically operate in “license free” frequency bands, also referred to as ISM (Industrial, Scientific and Medical). The frequencies and power of these bands varies from country to country. The most common frequencies encountered are:
2.4 GHz – nearly worldwide
915 MHz band – North America, South America, some other countries
868 MHz band – Europe
As frequency rises, available bandwidth typically rises, but distance and ability to overcome obstacles is reduced. For any given distance, a 2.4 GHz installation will have roughly 8.5 dB of additional path loss when compared to 900 MHz. However, lower frequencies require larger antennas to achieve the same gain.
The more sensitive the radio, the lower the power signal it can successfully receive, stretching right down to the noise floor.
The most meaningful specification is expressed at a particular bit error rate and will be given for an ideal environment shielded from external noise. Unless you’re in a high RF noise environment (typically resulting from numerous similar frequency radio transmitters located nearby), the odds are good that the noise floor will be well below the receive sensitivity, so the manufacturer’s rated receive sensitivity will be a key factor in your wireless system and range estimates.
You can often improve your receive sensitivity, and therefore your range, by reducing data rates over the air. Receive sensitivity is a function of the transmission baud rate so, as baud rate goes down, the receive sensitivity goes up. Many radios give the user the ability to reduce the baud rate to maximize range.
The receive sensitivity of a radio also improves at lower frequencies, providing another significant range advantage of 900 MHz (vs. 2.4 GHz) - as much as six to twelve dB!
RF background noise comes from many sources, ranging from solar activity to high frequency digital products to all forms of other radio communications. That background noise establishes a noise floor which is the point where the desired signals are lost in the background ruckus. The noise floor will vary by frequency.
Typically the noise floor will be lower than the receive sensitivity of your radio, so it will not be a factor in your system design. If, however, you’re in an environment where high degrees of RF noise may exist in your frequency band, then use the noise floor figures instead of radio receive sensitivity in your calculations. If you suspect this is the case, a simple site survey to determine the noise floor value can be a high payoff investment.
When in doubt, look about.
Antennas are everywhere nowadays - on the sides of buildings, water towers, billboards, chimneys, even disguised as trees. Many sources of interference may not be obvious.
Fade-margin is a term critical to wireless success. Fade-margin describes how many dB a received signal may be reduced by without causing system performance to fall below an acceptable value. Walking away from a newly commissioned wireless installation without understanding how much fade margin exists is the number one cause of wireless woes.
Establishing a fade margin of no less than 10dB in good weather conditions will provide a high degree of assurance that the system will continue to operate effectively in a variety of weather, solar, and RF interference conditions.
There are a number of creative ways to estimate fade margin of a system without investing in specialty gear. Pick one or more of the following and use it to ensure you’ve got a robust installation:
Some radios have programmable output power. Reduce the power until performance degrades, then dial the power back up a minimum of 10dB. Remember again, doubling output power yields 3 dB, and an increase of 10dB requires a ten-fold increase in transmit power.
Invest in a small 10dB attenuator (pick the correct one for your radio frequency!). If you lose communications when you install the attenuator installed in-line with one of your antennas, you don’t have enough fade-margin.
Antenna cable creates an additional loss, more so at higher frequencies. Specifications vary by type and manufacturer so check them yourself but, at 900MHz, a coil of RG58 in the range of 50 to 100 feet (15 to 30 m) will be 10dB. At 2.4GHz, a cable length of 20-40 feet (6 to 12 m) will yield 10dB. If your system still operates reliably with the test length of cable installed, you’ve got at least 10dB of fade margin.
Contrary to popular opinion, no black art is required to make a reasonable prediction of the range of a given radio signal. Several simple concepts must be understood first, and then we can apply some simple rules of thumb.
The equation for successful radio reception is:
TX power + TX antenna gain – Path loss – Cabling loss + RX antenna gain – 10dB fade margin > RX Radio sensitivity or (less commonly) RF noise floor
Note that most of the equation’s parameters are easily gleaned from the manufacturer’s data. That leaves only path loss and, in cases of heavy RF interference, RF noise floor as the two parameters that you must established for your particular installation.
In a perfect world, you will measure your path loss and your RF noise conditions. For the majority of us that don’t, there are rules of thumb to follow to help ensure a reliable radio connection.
Example: Determine antenna height and feasibility (power at receiver Pr) of a 30miles LOS application.
- Antenna Height Formula
- Receiver sensitivity formula
- Radio and cable manufacturer’s specs
1. Calculating the antenna height:
A formula for calculating required combined antenna height is: H = (D/8.2)^2
H = Combined antenna height in Meters (feet / 3.28)
D = Distance between antennae in Kilometers (miles x 1.609)
Based on the above, the antenna minimum height is: 35m
2. Calculating the power at receiver Pr:
Antenna Type: WPA24-ANT3Y-Yagi type with 12.5dB gain.
Cable: 100ft special type LMR400 with only 3.9dB loss/100ft
PT = 30 dBm RF Transmitter Output (from manufacturer’s spec: 1W=30dBm)
GT = 12.5 dBi Antenna (Yagi)
GR = 12.5 dBi Antenna (Yagi)
GC = -3.9 dB 100 Feet LMR400 Cable
GH = 2.26 dB Antenna 1 Height
GH = 2.26dB Antenna 2 Height
PL = -125.34 dB
Space Loss [32.45 + 20log(914MHz)] + [20log(30mi X 1.609)] = = 91.67dB + 33.67dB = 125.34dB
PR = -69.72dBm
Conclusion: Based on the above our calculated power at receiver is -69.72dB enough to make it work considering that our receiver’ intrinsic sensitivity is between -100dBm (115kbs) and -110dBm (256kbs).
In a clear path through the air, radio signals attenuate with the square of distance. Doubling range requires a four-fold increase in power, therefore:
When indoors, paths tend to be more complex, so use a more aggressive rule of thumb, as follows:
Radio manufacturers advertise “line of sight” range figures. Line of sight means that, from antenna A, you can see antenna B. Being able to see the building that antenna B is in does not count as line of sight.
For every obstacle in the path, de-rate the “line of sight” figure specified for each obstacle in the path. The type of obstacle, the location of the obstacle, and the number of obstacles will all play a role in path loss.
Visualize the connection between antennas, picturing lines radiating in an elliptical path between the antennas in the shape of a football. Directly in the center of the two antennas the RF path is wide with many pathways. A single obstacle here will have minimal impact on path loss. As you approach each antenna, the meaningful RF field is concentrated on the antenna itself. Obstructions located close to the antennas cause dramatic path loss.
Be sure you know the distance between antennas. If it’s a long-range application, establish the actual distance with a GPS or Google Maps.
The most effective way to reduce path loss is to elevate the antennas. At approximately 6 feet high (2 m), line of sight due to the Earth’s curvature is about 3 miles (5 km), so anything taller than a well-manicured lawn becomes an obstacle.
Weather conditions also play a large role. Increased moisture in the air increases path loss. Usually, the higher the frequency, the higher the path-loss.
While a few saplings mid-path are tolerable, it’s very difficult for RF to penetrate significant woodlands. If you’re crossing a wooded area you must elevate your antennas over the treetops.
Industrial installations often include many reflective obstacles leading to numerous paths between the antennas. The received signal is the vector sum of each of these paths. Depending on the phase of each signal, they can be added or subtracted. In multiple path environments, simply moving the antenna slightly can significantly change the signal strength.
Also be aware of the obstacles that are mobile. Wireless applications can be affected by temporary obstacles such as a stack of containers, a parked truck or material handling equipment. Remember, metal is not your friend. An antenna will not transmit out from inside a metal box or through a storage tank.
Path Loss Rules of Thumb:
To ensure basic fade margin in a perfect line of sight application, never exceed 50% of the manufacturer’s rated line of sight distance. This in itself yields a theoretical 6dB fade margin – still short of the required 10dB.
De-rate more aggressively if you have obstacles between the two antennas, but not near the antennas.
De-rate to 10% of the manufacture’s line of sight ratings if you have multiple obstacles, obstacles located near the antennas, or the antennas are located indoors.
Antennas increase the effective power by focusing the radiated energy in the desired direction. Using the correct antenna not only focuses power into the desired area but it also reduces the amount of power broadcast into areas where it is not needed.
Wireless applications have exploded in popularity with everyone seeking out the highest convenient point to mount their antenna. It’s not uncommon to arrive at a job site to find other antennas sprouting from your installation point. Assuming these systems are spread spectrum and potentially in other ISM or licensed frequency bands, you still want to maximize the distance from the antennas as much as possible.
Most antennas broadcast in a horizontal pattern, so vertical separation is more meaningful than horizontal separation. Try to separate antennas with like polarization by a minimum of two wavelengths, which is about 26 inches (0.66 m) at 900 MHz, or 10 inches (0.25 m) at 2.4 GHz
Those high frequencies you are piping to your antennas don’t propagate particularly well through cable and connectors. Use high quality RF cable between the antenna connector and your antenna and ensure that all connectors are high quality and carefully installed. Factor in a 0.2 dB loss per coaxial connector in addition to the cable attenuation itself. Typical attenuation figures for two popular cable types are listed below.
Loss per 10 feet (3 meters) of cable length:
While long cable runs to an antenna create signal loss, the benefit of elevating the antenna another 25 feet (7.6 m) can more than compensate for those lost dB.
Before you lift a finger towards the perfect wireless installation, think about the impact of wireless communications on your application. Acceptable bit error rates are many orders of magnitude higher than wired communications. Most radios quietly handle error detection and retries for you - at the expense of throughput and variable latencies.
Software must be well designed and communication protocols must be tolerant of variable latencies. Not every protocol can tolerate simply replacing wires with radios. Protocols sensitive to inter-byte delays may require special attention or specific protocol support from the radio. Do your homework up front to confirm that your software won’t choke, that the intended radio is friendly towards your protocol, and that your application software can handle it as well.