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formulae for finding rx level

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Q: How to calculate Rx level formula in GSM microwave antenna hop?
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How is the radiation pattern of a parabolic reflector antenna plotted?

The paraolic antenna has a high degree of "directivity" compared to many other antennas. That gives these puppies big gain. But they need to be pointed in the "right" direction to work well. This antenna design is used in many radar (and other microwave) applications, as well as in satellite communication. And is has a home with radio astronomers, too, but they're usually listening instead of transmitting. It has a parabolic reflector, and some kind of support for the feedhorn, sub-reflector or whatever is at the focus. We're talking about a transmission antenna here, so there will be some kind of feed assembly to put the signal onto the parabolic reflector to "send out" or transmit that signal. How do we test it? It's so simple that you're not gonna believe it. The reflector can be modified a bit to "broaden" the primary lobe of the radiated signal either horizontally or vertically. But let's work with a simple parabolic reflector. Imagine a parabolic antenna that is fixed so it's stationary. Let's look at which way the signal goes. There are two variables to assess when plotting the radiated pattern, and they are usually referenced to the "direction" or "directivity" of the antenna, or the direction of what might be termed the primary lobe or beam of the radiation. Put another way, there is one direction that is the "center of the beam" for this antenna, and once we establish this line, we reference to it. Something is either left or right of the line by "x" number of degrees, or something is above or below the line by "y" degrees. You gonna put this up on a pole and walk around measuring radiated power at different points left or right of, or above or below the beam? Remember I said this was ease? Put the antenna on a stand and make it point horizontally. Make that stand like a heavy duty lazy susan so the whole thing rotates. Hook up a signal generator to it, and put in the desired operating frequency. (The signal generator won't be generating high power, and that's okay. A milliwatt isn't even necessary for the test.) We're now ready to transmit, and that's our test antenna setup. Step off a hundred meters (or whatever) and set up a receiving antenna (pointed at the antenna under test and at the same level). Hook up a receiver to the receiving antenna so that signal strength can be measured. Turn on your equipment and rotate the turntable slowly. As the turntable rotates, it causes the antenna being tested to "sweep" the horizon with its little output signal. As it moves around, the receiver will be getting more and more and more signal, or less and less and less signal, depending on whether the test antenns is sweeping toward or away from the receiver. With a computer hooked up to the receiver (via a handy IEEE bus) and doing some recording, a relative signal strength can be plotted. Presto! You've got a 360o plot of the relative output signal strength. All you have to do is raise you receiving antenna a touch, and then point it down a tiny bit so it's aimed directly at the test antenna. Then turn the test antenna and record for another 360o view at a bit high of beam center. Keep moving up the receiving antenna in steps, realigning it, and testing a circle. Do this for a bunch of vertical levels above beam center. Then come back and do it again for a bunch of levels below beam center. You're done! The trick is to set up the test antenna on a turntable and point it flat out and level with the horizon, and then to begin with a receiving antenna level with and pointed directly at the test antenna. The turntable does most of the work, and it makes it easy. The work is in raising or lowering the receiving antenna in calculated steps and realigning it at each step to point it directly at the test antenna. By the time the test crew get finished, the computer can plot a nice 3D chart (in the form of a thick cylinder with the test antenna at the center that will demonstrate the performance of that test antenna. Piece of cake. The paraolic antenna has a high degree of "direcitivity" compared to many other antennas. That gives these puppies big gain. This antenna design is used in many radar and in satellite communication applications, as well as having a home with radio astronomers. It has a parabolic reflector, and some kind of support for the feedhorn, sub-reflector or whatever is at the focus. We're talking about a transmission antenna here, there will be some kind of feed assembly to put the signal onto the parabolic reflector to "send out" or transmit the signal. How do we test it? It's so simple that you're not gonna believe it. The reflector can be modified a bit to "broaden" the primary lobe of the radiated signal either horizontally or vertically. But let's work with a simple parabolic reflector. Imagine a parabolic antenna that is fixed so it's stationary. Let's look at which way the signal goes. There are two variables to assess when plotting the radiated pattern, and they are usually referenced to the "direction" or "directivity" of the antenna, or the direction of what might be termed the primary lobe of the radiation. Put another way, there is one direction that is the "center of the beam" for this antenna, and once we establish this line, we reference to it. Something is either left or right of the line by "x" number of degrees, or something is above or below the line by "y" degrees. You gonna put this up on a pole and walk around measuring radiated power at different points left or right of, or above or below the beam? Remember I said this was ease? Put the antenna on a stand and make it point horizontally. Make that stand like a heavy duty lazy susan so the whole thing rotates. Hook up a signal generator to it, and put in the desired operating frequency. (The signal generator won't be generating high power, and that's okay. A milliwatt isn't even necessary for the test.) We're now ready to transmit, and that's our test antenna setup. Step off a hundred meters (or whatever) and set up a receiving antenna (pointed at the antenna under test and at the same level). Hook up a receiver to the receiving antenna so that signal strength can be measured. Turn on your equipment and rotate the turntable slowly. As the turntable rotates, it causes the antenna being tested to "sweep" the horizon with its little output signal. As it moves around, the receiver will be getting more and more and more signal, or less and less and less signal, depending on whether the test antenns is sweeping toward or away from the receiver. With a computer hooked up to the receiver (via a handy IEEE bus) and doing some recording, a relative signal strength can be plotted. Presto! You've got a 360o plot of the relative output signal strength. All you have to do is raise you receiving antenna a touch, and then point it down a tiny bit so it's aimed directly at the test antenna. Then turn the test antenna and record for another 360o view at a bit high of beam center. Keep moving up the receiving antenna in steps, realigning it, and testing a circle. Do this for a bunch of vertical levels above beam center. Then come back and do it again for a bunch of levels below beam center. You're done! The trick is to set up the test antenna on a turntable and point it flat out and level with the horizon, and then to begin with a receiving antenna level with and pointed directly at the test antenna. The turntable does most of the work, and it makes it easy. The work is in raising or lowering the receiving antenna in calculated steps and realigning it at each step to point it directly at the test antenna. By the time the test crew get finished, the computer can plot a nice 3D chart (in the form of a thick cylinder with the test antenna at the center that will demonstrate the performance of that test antenna. The output pattern should look like a long, skinny teardrop. Piece of cake.


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There are a few terms that need to be understood. [dBm,dBd,dBi and dB] For antennas, a common reference unit is the dBi, which states the gain of an antenna as referenced to an ISOTROPIC source. An Isotropic source is the perfect omnidirectional radiator, a true "Point Source", and does not exist in nature. Consider it a source which is the center of the sphere and the energy is coming equally out of it as a sphere. Now in reality nothing like that exists. It's also 2.41 dB BIGGER than the next common unit of antenna gain, the dBd, When you convert that to a real antenna. So a simple dipole antenna has a gain of 2.41dBi, and a gain of 0dBd, since we're comparing it to itself. Now lets talk about dBm, dBm is not is reference to anything else but the used as an actual gain ( say amplifiers ) , P(dBm)=10*LOG(1000*Power in milliwatts,10), an amp with an output of 30dBm puts out 1 Watt. It is not in refernce to two power level but directly correlating the gain of a device. Now when you talk about a dB it is a relative measure of two different power levels. 10log (p1/p2, 10).

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