SNR, RSSI, EIRP and Free Space Path Loss

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Sep 9, 2010 2:51 AM
Sep 9th, 2010

Signal to Noise Ratio (SNR)

The power level of the RF signal relative to the power level of the noise floor is known as the Signal-to-Noise ratio or SNR. It is the ratio of signal power to the noise power corrupting the signal.


In simple words, SNR (Signal-to-Noise Ratio) is a ratio based value that evaluates your signal based on the noise being seen. SNR is measured as a positive value between 0dB and 120dB and the closer the value is to 120dB, the better.


Let's look at the components of the SNR and then understand how SNR is determined.  SNR is comprised of 2 values.


a) Signal

b) Noise


RSSI (Recieved Signal Strength Indicator) is a more common name for the Signal value. It is the strength that one device is hearing another device. This value is measured in decibels from 0 (zero) to -120 (minus 120). The closer this value to 0 (zero), stronger the signal.


Typically voice networks require a -65dBm or better signal level while a data network needs -80dBm or better. Normal range in a network would be -45dBm to -87dBm depending on power levels and design.  The Signal is also affected by the APs transmit power & antenna as well as the client's antenna.


Noise is any signal that interfers with your signal. Noise can be due to other wireless devices such as cordless phones, microwave devices etc. This value is measured in decibels from 0 (zero) to -120 (minus 120). Noise level is the amount of interference in your wireless signal, so lower is better. Looking at this value, if the value is closer to -120 (minus 120) it is better because that means there is little to no interference. Typical environments range between -90dBm and -98dBm.


To calculate the SNR value, we add the Signal Value to the Noise Value and it generates (or should) a positive number that is expressed in decibels (db).  For example, lets say your Signal value is -55dBm and your Noise value is -95dBm.


-55dBm + -95dBm = 40db this means you have an SNR of 40, the general rule of thumb is that any SNR above 20 is good.


Other important terminologies that we need to understand is the EIRP and Free Space Path Loss.

EIRP (Effective Isotropic Radiated Power):-

EIRP (Effective Isotropic Radiated Power) is the actual amount of signal leaving the antenna and is a value measured in db and is based on 3 values:


a) Transmit Power (dBm)
b) Cable Loss (dB)
c) Antenna Gain (dBi)


To determine EIRP follow this equation:


<Transmit Power> - Cable Loss + Antenna Gain = EIRP


For example we have a Cisco 1242AG access points running at full power with a 6dBi antenna on the 802.11a radio and a 2.5dBi antenna on the 802.11bg radio.


802.11a EIRP = 17dBm (40mw) - 0dB + 6dBi = 23dBm = 200mw of actual output power


802.11bg EIRP = 20dBm (100mw) - 0dB + 2.5dBi = 22.5dBm = 150mw (approx) of actual output power


Based on the example above, in theory, if you were to measure it right at the antenna you could get an RSSI of -23dBm or -22.5dBm respectively.

Free space path loss:-

Free space path loss is a weakening of the RF signal due to a broadening of the wave front.


It is a measure of how much signal power the device loses over a given distance. Typically the device loses about 0.020 dB per foot in an outdoor or wide open office; doors, walls, glass, and etc. affect this. This is why as a client walks away from an AP,  the signal gets weaker.


All this relates to the client because it determines the signal the client recieves, also keep in mind that when looking at the client you have to account for it's antenna as well much like the EIRP.


So if a client card has a 2 dBi antenna (although they are typically either 0dBi or 2.2dBi) that boosts the incoming signal, and assuming the actual  RSSI signal being seen is -68dBm, then: 

Actual RSSI + Antenna Gain = Displayed RSSI


-68dBm + 2dBm = -66dBm


Check out the Cisco Enterprise Mobility Design Guide for more detail information on WLAN Radio Frequency Design Considerations.

Here is the link to the document.

WLAN Radio Frequency Design Considerations


Source:   https://supportforums.cisco.com/message/3145716

                 https://supportforums.cisco.com/thread/2039792

Average Rating: 5 (3 ratings)

Comments

dennischolmes Thu, 09/09/2010 - 04:30

Excellent information for the beginning RF professional. I would like to add the free space path loss is a major issue when dealing with RF links at a long distance, particularly outdoors. Cisco has a couple of good calculator tools to allow for free space path loss in the RF link budget design calculations. To explain free space path loss use the following formula.

FSPL       =(   4   π   d / λ   ) 2
              =(   4   π   d   f   / c   ) 2

Where:
FSPL is the Free space path loss
d is the distance of the receiver from the transmitter (metres)
λ is the signal wavelength (metres)
f is the signal frequency (Hertz)
c is the speed of light in a vacuum (metres per second)

This is actually part of the MESH RF boot camp class that was required to get your Outdoor MESH ATP. If you fail to consider free space path loss on an outdoor MESH network the MESH links will surely fail

kmiller1634 Thu, 09/09/2010 - 18:29

Rajesh,

     I am im pressed with what you did with my post and I am glad it will be able to help so many others out.

Dennis,

     Thanks for the kudos on the document, it was generated from years in the industry dealing with wireless. and your comments are valid and extremely valuable and I remember them from my Mesh ATP training a few years ago.

Thanks Guys, I hope this document helps many people moving forward.

Kayle

Rajesh Premachandran Mon, 09/13/2010 - 05:20 (reply to kmiller1634)

Thanks for providing this useful information Kayle.  And yes, the idea is to convert useful and informative posts into documents so that many more CSC users will be benefitted

Please continue to share your thoughts and experiences on the CSC!!!

Rajesh

dnitti Thu, 12/22/2011 - 06:18

Signal is measured in dBm (or Watt, or milliwatt, or whatever), NOT in dB!

dB are used to indicate ANY ratio:

x dB = 10 * Log a / b.

If you have doubled your incomes, you have increased them by 3dB. That's because Log 2 is very close to 0.3.

If you have halved them, they have decreased by 3dB (or increased by -3dB)

Log 1/2 = - Log 2 = - 0.3

Remember the rules concerning Logarithms.

Therefore:

x dBm + (or -) y dB = z dBm

x dB + (or -) y dB = z dB

Pay attention!!

Amjad Abdullah Fri, 03/07/2014 - 03:32

Good doc Rajesh.

Just I want to mention that 17 dBm is equivalent to 50 mW, not 40 mW as mentioned above.

+5 from me.

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