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#1
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Yes - if you like; I was alluding to curvature in the transfer
function as non-linearity, which one would encounter before clipping. "Old Ed" wrote in message nk.net... Regarding your comment about an amplifier possibly "clipping... before non-linearity," that is impossible by definition--because clipping IS a non-linearity. |
#2
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The higher the IP3, the higher is the implied 1dB Compression
Point and therefore the higher up the straight line before curvature starts and therefore the bigger signal handling capability before in wanted products come along/ "Reg Edwards" wrote in message ... "Airy R.Bean" wrote - The better a mixer is, the higher is IP3 for the outputs of the mixer. From a circuit operational point of view, could you please summarise in what way a high IP3 makes a better mixer? |
#3
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On Fri, 4 Feb 2005 16:31:00 -0000, "Airy R.Bean"
wrote: From off the top of my head, without any revision..... IP3, or "Third Order Intercept Point" is an indication of how good a mixer is, but it is not a physical point! If you were to plot the wanted output of a mixer stage against the input signal (ignoring the local oscillator input), you would get a graph that is a nearly-straight line from the origin which then starts to flatten off. At the point of the line where it starts to curve over to flatness, and therefore starts to be non-linear, other mixer products, mainly those based upon the third harmonic of the input signals start to appear in the output. if you plot these other products on your graph in addition to the wanted output signal, they grow at a rate (the slope) which is 3 times greater than was the initial straight line of the wanted output. If you take the original straight line of the wanted output, and extrapolate it so that it meets the other line growing at 3 times the slope, you get what is known as the "Third Order Intercept Point". The reason that this is a theoretical point is because the wanted output has long since flattened off! The better a mixer is, the higher is IP3 for the outputs of the mixer. IP3 will be given in terms of the power of the wanted output signal, say, 50 dBm - other respondents have informed you that this is 50dB (or 10^5) times greater than 1mW, or 100W (Perhaps not a good figure for an example - a mixer with an output of those levels could be a PA stage!). In this case dBm gives us the power relative to the mW. If we now go back to the flattening off of the curve, at some point, the curve will be 1dB less than what it would have been had the curve not been a curve but had carried on as a straight line. This point is known as the "1dB Compression Point" - In this case we use dB and not dBm because we are talking relative to some other point on the line. There is a mathematical derivation (which I don't know off-hand) which shows that the 1dB Compression Point is 10.4dB below IP3. So, I hope that I have gone some way to explaining (or increasing your confusion) on the points that you raised! Pretty good explanation for a mixer, however, IP3 relates equally well to amplifiers. In receivers, IP3 is used as a figure of merit and describes how a receiver will handle weak signals in the presence of other stronger signals. It is as explained earlier, a theoretical value. |
#4
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Why, Thank-you!
In the case of amplifiers, presumably we are talking about the effects of unwanted strong signals driving the amplifier into its non-linear region (and therefore acting as a mixer)? "Wes Stewart" wrote in message ... On Fri, 4 Feb 2005 16:31:00 -0000, "Airy R.Bean" wrote: From off the top of my head, without any revision..... Pretty good explanation for a mixer, however, IP3 relates equally well to amplifiers. In receivers, IP3 is used as a figure of merit and describes how a receiver will handle weak signals in the presence of other stronger signals. It is as explained earlier, a theoretical value. |
#5
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Hi again -
A couple of added thoughts he 1. The term "mixer" has at least two quite different definitions in the electronics world. To the RF guy, "mixer" means a nonlinear and/or time-variant device that is used to create sum and difference frequencies between an input signal and a local oscillator. But to the audio guy, "mixer" means a highly linear device used to add or combine audio signals WITHOUT producing distortion products. 2. As implied above, an RF mixer does not have to be nonlinear; it can also be implemented as a linear/time-variant device. (Think of a highly linear switch being chopped at the LO frequency.) However, the most common practical mixers are those that can be modelled as non-linear/time-invariant and those that can be modelled as non-linear/time-variant. 73, Ed, W6LOL "Airy R.Bean" wrote in message ... Why, Thank-you! In the case of amplifiers, presumably we are talking about the effects of unwanted strong signals driving the amplifier into its non-linear region (and therefore acting as a mixer)? "Wes Stewart" wrote in message ... On Fri, 4 Feb 2005 16:31:00 -0000, "Airy R.Bean" wrote: From off the top of my head, without any revision..... Pretty good explanation for a mixer, however, IP3 relates equally well to amplifiers. In receivers, IP3 is used as a figure of merit and describes how a receiver will handle weak signals in the presence of other stronger signals. It is as explained earlier, a theoretical value. |
#6
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Hi Airy -
I generally agree with your description of IP3; but I would add a few points. The IP3 model was first published in a now-classic article back in the 60s. (I could probably dig up the specific reference, if someone really wants to know.) The original author observed that many practical devices (e.g., mixers) exhibit distortion levels that rise as the "power" of the product in question. For example, third-order distortion rises 3 times as fast (dB scale) as the desired (linear) signal. If the subject distortion is plotted against input/output levels, and approximated by a best-fit straight line, that line will intersect a similar linear extrapolation of the desired signal at a point dubbed the "Intercept Point." The utility of all this is that you can use a single specification-- intercept point--to make quite good predictions of distortion levels over a wide range of input conditions. But it is important to remember that IP is only a MODEL, and an empirical one at that. Real devices will never follow the model exactly and completely--as you note in your discussion of the saturation region. 73, Ed, W6LOL "Airy R.Bean" wrote in message ... From off the top of my head, without any revision..... IP3, or "Third Order Intercept Point" is an indication of how good a mixer is, but it is not a physical point! If you were to plot the wanted output of a mixer stage against the input signal (ignoring the local oscillator input), you would get a graph that is a nearly-straight line from the origin which then starts to flatten off. At the point of the line where it starts to curve over to flatness, and therefore starts to be non-linear, other mixer products, mainly those based upon the third harmonic of the input signals start to appear in the output. if you plot these other products on your graph in addition to the wanted output signal, they grow at a rate (the slope) which is 3 times greater than was the initial straight line of the wanted output. If you take the original straight line of the wanted output, and extrapolate it so that it meets the other line growing at 3 times the slope, you get what is known as the "Third Order Intercept Point". The reason that this is a theoretical point is because the wanted output has long since flattened off! The better a mixer is, the higher is IP3 for the outputs of the mixer. IP3 will be given in terms of the power of the wanted output signal, say, 50 dBm - other respondents have informed you that this is 50dB (or 10^5) times greater than 1mW, or 100W (Perhaps not a good figure for an example - a mixer with an output of those levels could be a PA stage!). In this case dBm gives us the power relative to the mW. If we now go back to the flattening off of the curve, at some point, the curve will be 1dB less than what it would have been had the curve not been a curve but had carried on as a straight line. This point is known as the "1dB Compression Point" - In this case we use dB and not dBm because we are talking relative to some other point on the line. There is a mathematical derivation (which I don't know off-hand) which shows that the 1dB Compression Point is 10.4dB below IP3. So, I hope that I have gone some way to explaining (or increasing your confusion) on the points that you raised! "jason" wrote in message ups.com... May I know what actually the unit of dbm and db is different from one another? If they are different how can we minus the gain in unit of db from a IP3 in unit of dbm? Kindly enlighthen Thank you all |
#7
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In message t, Old Ed
writes SNIP The original author observed that many practical devices (e.g., mixers) exhibit distortion levels that rise as the "power" of the product in question. For example, third-order distortion rises 3 times as fast (dB scale) as the desired (linear) signal. Snip Ed, where the increasing intermodulation distortion is simply a result of increasing the level of the signals at the input of the mixer (or amplifier), third order distortion actually rises TWICE as fast as the desired signal. Third order distortion DOES rise on a 'three dB per dB' basis, but the wanted signal also rises - at 1dB per dB. The difference is 2dB. So the relationship is 2dB per dB. If you continued to increase the signal levels, you might expect that the level of the intermodulation would eventually catch up with - and overtake - the level of the wanted signal (it doesn't, of course). The third order intercept point is simply the hypothetical level where the level of the intermodulation would have risen so much (at 2dB per dB) that it equals the level of the wanted signal. Ian. -- |
#8
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But why we can add or minus gain and IP3 which are in different unit(db
and dbm)? Anyone knows? Thank you rgds Jason |
#9
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"Jason" wrote
But why we can add or minus gain and IP3 which are in different unit (db and dbm)? _______________ The algebraic summation of decibel values is a mathematically legitimate, and convenient way to determine system performance. Decibels are based on logarithms. Adding/subtracting logs or (decibels) is easier than manipulating the real values they represent. The final dB value in an analysis can be converted back to whatever units are desired. For example, below is an analysis of a UHF radio link system over a free-space path. The 5 watt power of the transmitter is first converted to dBm so it can be used with other dB values present to analyze the system. The same result is reached when multiplying tx power in watts by system gains and losses expressed as decimal values, but that process is more awkward -- at least when using a pencil & paper or a pocket calculator (computers don't care). TX PWR OUTPUT 36.99 dBm TX ANT 19.20 dBi RX ANT 19.20 dBi TOTAL GAINS 75.39 dB DISTANCE 18.00 Miles FREQ 950.00 MHz PATH LOSS 121.26 dB LINE LOSS TX 1.80 dB LINE LOSS RX 3.00 dB CONN LOSS 1.00 dB OTHER 0.00 dB TOTAL LOSSES 127.06 dB RX SIGNAL -51.67 dBm (584 uV) RX SIGNAL REQ'D -90.00 dBm RAW FADE MARGIN 38.33 dB RF Visit http://rfry.org for FM transmission system papers. |
#10
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In message .com,
Jason writes But why we can add or minus gain and IP3 which are in different unit(db and dbm)? Anyone knows? Thank you rgds Jason Think of it this way: dBm indicates an absolute value. db indicates a relative value. For example: 0dBm = 1mW 0dBm + 3dB = 1mW x 2 = 2mW = 3dBm 0dBm + 10dB = 1mW x 10 = 10mW = 10dBm 3dBm + 10dB = 2mW x 10 = 20mW = 13dBm 20dBm - 30dB = 100mW/1000 = 0.1mW = -10dBm What you can't do is to add dBm values directly. If you have power combiner, and add 10dBm and 13dBm, you can't add 10dBm and 13dBm and get 23dBm. 23dBm would be 200mW (because 20dB is x 100, 3dB is x 2, so 100 x 2 =200), and this is incorrect. What you have to do is to convert the dBm values into mW, then add the mW. 10dBm = 10mW 13dBm = 20mW Total power = 30mW (and not 200mW) 30mW can then be converted back into dBm (= appx 14.5dBm) Do you see the pattern? Ian. -- |
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