What is Early Voltage? (066f)
14:17
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@hennero.3826
@hennero.3826 2 сағат бұрын
Thank you, Ralph. 🙂 Learning all this by means of self-study to pass a ham radio license test is one thing, watching your explanations with the actual signals both on the oscilloscope and the spectrum analyzer is another. The first one is just enough to pass the test, whereas the latter one is adding to the pieces of the puzzle that makes the background clear. 🙂 Especially what you said about the carrier that needs to be added on the receiver's side to have a _reference_ for the information in the side band which is otherwise unusable makes things somewhat more understandable for me (and as SSB is more or less the only mode I am using, I would like to understand more of a what my TRX is doing 😉).
@ssmbssmbssmb
@ssmbssmbssmb 13 сағат бұрын
Thanks...I just need this lessons. Very helpfull.
@fullwaverecked
@fullwaverecked 22 сағат бұрын
Here is something interesting, but completely off topic. I'm playing thumping music out of a '50s Alnico Zenith Satalite 12" with the tweeter and mid disconnected. No caps on the 12". My leg is next to the speaker and my leg hair is very active. IE static electricity. Why is that?
@RobRoschewsk
@RobRoschewsk Күн бұрын
I appreciate drawing all of the design on the whiteboard. Too often I just dive into putting numbers into the matrix and get wrapped around the axle and needing to rework everything becoming a mess. Good to have it all figured out before you hit the keyboard.
@eie_for_you
@eie_for_you Күн бұрын
Yes, it is good to have it all figured out before you hit the keyboard. That is why I emphasize in all my videos to plan before you jump. Know what you are going to do before you try to do it. It saves us so much frustration and tons of time. 🙂
@bigdaadio.K2WW
@bigdaadio.K2WW 2 күн бұрын
You had 2 different setting on the tuner using analyzer and VNA or was I looking at it wrong?
@eie_for_you
@eie_for_you Күн бұрын
The SWR curve is actually pretty broad. So, it is not inconceivable to have different settings putting you somewhere within this relatively broad dip. Furthermore, there is the difference in accuracy between the antenna analyzer and the VNA. 🙂
@bigdaadio.K2WW
@bigdaadio.K2WW Күн бұрын
@@eie_for_you Great Videos Thanks for taking the time to help new ies and old-timers alike! Not many of us left, no more in sight!
@eie_for_you
@eie_for_you Күн бұрын
@@bigdaadio.K2WW True that! I'm no spring chicken myself. I just *have* to share what I know and what I am learning (or re-learning) while I still have a brain to do it. There *is* going to come a time when I cannot. You are very welcome. It is my pleasure! 🙂
@martyb3783
@martyb3783 2 күн бұрын
This is great information and presentation. Thanks for making this video!
@eie_for_you
@eie_for_you 2 күн бұрын
Thank you and you are very welcome! 🙂
@polaraligned1
@polaraligned1 2 күн бұрын
Excellent video. Thank you.
@eie_for_you
@eie_for_you 2 күн бұрын
Thank you and you are very welcome! 🙂
@derdoktor7123
@derdoktor7123 3 күн бұрын
Thanks for a very nice explanation, Ralph! If you have no idea what‘s coming next I would wish the process of matching a 50 ohms line to a crystal filter including the design process maybe 10 MHz 😊
@eie_for_you
@eie_for_you 2 күн бұрын
You are welcome! Next up is the input impedance of an R.F. amplifier intended for use in a 50 Ohm environment. Yeah ... impedance transformation/matching. On my bucket list! 🙂
@stereophotog
@stereophotog 3 күн бұрын
Great video and thank you for the efforts and time spent doing this for us.
@eie_for_you
@eie_for_you 2 күн бұрын
Thank you and you are very welcome! 🙂
@TheGeorge1952
@TheGeorge1952 3 күн бұрын
This is the best explanation of this much misunderstood balun that I have seen. Thank you!
@eie_for_you
@eie_for_you 2 күн бұрын
You are very welcome! 🙂
@MrTikie9405
@MrTikie9405 3 күн бұрын
New to the radio world … but I got my GMRS license , made a few transmissions and was called “noisy” on the repeater.. what does that mean ?
@eie_for_you
@eie_for_you 3 күн бұрын
Good question. I am going to give you a very full rounded answer that should help you do better all around. GMRS uses Frequency Modulation, which means that stuff that *normally* affects the amplitude of the signal (like static crashes from lightning) does not affect the audio. This is referred to as being "full quieting" = a good signal. HOWEVER, if your signal weak into the repeater, the normal background noise that exists in the R.F. world starts to affect the audio quality. Your signal becomes "noisy." You are no longer "full quieting." This can sometimes be "fixed" by just moving your antenna a little bit, maybe standing up if you were sitting down, taking a half-step to the right or left, standing on one foot with your radio in the air and your tongue hanging out (just jokes! LOL 😀). If you are using a handheld transceiver (AKA: an HT), the "rubber duck" antennas that often come with them are pretty pathetic, poorly matched for the frequency, and poor signal radiators (also known as "rubber resistors"). Getting a better quality antenna can help. Don't go cheap here. Cheap just gets you another rubber resistor. If you are using a base station (mobile radio with a stationary antenna), we also think antenna, but also think coax (very often overlooked). At GMRS frequencies RG58 has really high losses (12 dB loss/100 ft at 400 MHz). It is convenient, but by the time your 50 watt transmitter power gets to the other end of 100 feet of RG-58 only about 4 watts is actually delivered to your antenna!!! The other 46 watts is being dissipated in heat in the coax. Hope this helps! 🙂
@MrTikie9405
@MrTikie9405 3 күн бұрын
@@eie_for_you Thank you sir! I have the infamous baofeng HT at the moment with the stock antenna. My new antenna from single stuff is on its way. I am trying to hit a repeater 8-9miles away with no elevation advantage 😬 I did get the response of being too noisy and I also think I heard Morse code? Fairly confident it was Morse code, sounded like the movies. In any case I’ll try again with the new antenna. Thanks again for the “Elmer” lesson. (Just read the history on Elmer 😆)
@ornithopterindia
@ornithopterindia 3 күн бұрын
👍Thank you sir.
@eie_for_you
@eie_for_you 3 күн бұрын
You are welcome! 🙂
@W1RMD
@W1RMD 3 күн бұрын
I always learn so much on your channel. Thanks and take care!
@eie_for_you
@eie_for_you 3 күн бұрын
You are welcome! 😁😁😁😁😁😁
@carlosanvito
@carlosanvito 4 күн бұрын
Great video. Changes in input Z are likely due to having negative feedback directly in the first stage. Too bad the designer didn't use a high Z buffer with a fixed input resistance before the NFB stage(s). By the way, love the display monitor in the upper-left corner.
@eie_for_you
@eie_for_you 3 күн бұрын
Thanks, man! I had to think about this a little... yeah, negative feedback with a capacitor in parallel with it to limit high end ... that would certainly do it. I agree with you on the fixed high input Z first stage; put the volume control between the first stage and the next. That is how I did it in my mixer project (Design End-to-End series). He is the reason I am here, my friend. That is my wallpaper on my desktop. 🙂
@carlosanvito
@carlosanvito 3 күн бұрын
@@eie_for_you I'm completely with you, my friend - in my 'retirement' I'm an adjunct college prof, teaching engineering technology. While I'm not allowed to openly discuss my faith, I subtly include Christian values in the lectures and talk about the importance of integrity in the industries where they will likely work. Young people need to hear this from an old guy like me, as the rest of what they are constantly bombarded with is just the opposite.
@jim9930
@jim9930 3 күн бұрын
@@carlosanvito May 21, 2011 was the beginning of judgement day on the world And it shall come to pass in that day, a great tumult from the Lord shall be among them; and they shall lay hold every one on the hand of his neighbor, and his hand shall rise up against the hand of his neighbor. Zechariah 14;13 "Tumult" = confusion & disbelief ...on purpose, by design for the punishment of mankind! Division is the result. Babylon is fallen(world systems). Division is worldwide in religions, politics, economics, news, industry, sciences, sports, medicine, entertainment, and even between the sexes. ...have you followed world events lately? The Lord is known by the judgement which he executeth, the wicked is snared in the work of his own hands. Higgaion. Selah. Psalm 9;16 Whoso keepeth the commandment shall feel no evil thing, and a wise man's heart discerneth both time and judgement. Ecclesiastes 8;5 And the seventh angel sounded; and there were great voices in heaven, saying, The kingdoms of this world are become the kingdoms of our Lord, and of his Christ; and he shall reign to ever and ever. And out of his mouth goeth a sharp sword, that with it he should smite the nations: and he shall rule them with a rod of iron: and he treadeth the winepress of the fierceness and wrath of Almighty God. Revelation 11;15 19;15 spoiler alert: The biblical calendar has been known, published(1974), and carefully studied for half a century now... There are forty+ time-paths from the bible pointing to 2033 as the last day. Go look up: Ebible2 timelines T - minus 9 years and counting... That is what young people need to know, Carlos FEED MY SHEEP
@jim9930
@jim9930 3 күн бұрын
@@carlosanvito Because I have called, and ye refused; I have stretched out my hand, and no man regarded; But ye have set at nought all my counsel, and would none of my reproof: I also will laugh at your calamity, I will mock when your fear cometh. Proverbs 1; 24-26 GOD is our refuge and strength, a very present help in trouble He looketh on the earth, and it trembleth: He toucheth the hills, and they smoke. Psalm 103;32 Bow thy heavens, O lord, and come down: touch the mountains, and they shall smoke. Psalm 144;5 READ THE BOOK ! And an highway shall be there, and a way, and it shall be called the way of holiness; the unclean shall not pass over it; but is shall be for those, the wayfaring souls, though fools, shall not err therein. Isaiah 35;8
@eie_for_you
@eie_for_you 3 күн бұрын
@@carlosanvito So very true! They've heard the message of "me first at all costs" ... "it is all about me and what I need" so much that selflessness is a rarity. 😞 Lying is OK if it is "for a good cause" (usually their own). Yes, integrity is so important. Keep up the good work! 🙂
@DucatiMTS1200
@DucatiMTS1200 4 күн бұрын
Super video Ralph. Great to get my brain refreshed by a clear and concise explanation. I suffer from TMB i.e. too many birthdays hi hi! 73 de GI8WFA.👍
@eie_for_you
@eie_for_you 3 күн бұрын
LOL!🤣 TMB!! I gotta use this! Thanks! 🙂
@egonotto4172
@egonotto4172 4 күн бұрын
8:15 "The signal generator output impedance is set to 50 Ohm". I don't think so. All signal generators I know have a fixed output impedance of 50 Ohm. Only the voltage display is halved so that the voltage is displayed at a load of 50 Ohm.
@eie_for_you
@eie_for_you 4 күн бұрын
Yes, you are right. This signal generator has a fixed 50 Ohm output impedance. However, there is a setting for the channel which we can set to the impedance that it will see on outs output which corrects the voltage as indicated on the display to accommodate the load impedance that actually exists on its output. It doesn't change the actual output voltage. It changes the voltage as *indicated* on the display. With that said, I DO personally own a signal generator whose output impedance is NOT 50 Ohms. While it is a good bet that most mainstream signal generators output impedance is 50 Ohms, it certainly in not a given. There is a whole class of them, for instance, which are 600 Ohms and 75 Ohms. So, let's be careful about our assumptions. 🙂
@egonotto4172
@egonotto4172 4 күн бұрын
@@eie_for_you That's right, that's why I wrote “All signal generators I know”. But that wasn't right either, because I have an old Wien-Robinson oscillator that I hadn't thought of, whose output impedance I don't know. But I doubt that it has 50 ohms.
@eie_for_you
@eie_for_you 4 күн бұрын
@@egonotto4172 True that! It is a good assumption, in general, that all signal generators of modern design will have an actual output impedance of 50 Ohms unless they have some specialized purpose. The cable TV industry is all about 75 Ohm as is the CCTV because 75 Ohm coax has less loss than their 50 Ohm counterpart. Parts of the audio industry was all about 600 Ohms; that is where the whole dBu steps in (1 mW into 600 Ohms is 0 dBu). 🙂
@TR3A
@TR3A 4 күн бұрын
Fantastic content! Thank-you!
@eie_for_you
@eie_for_you 4 күн бұрын
Thank you so much! ... and you are very welcome! 🙂
@peterayearst23
@peterayearst23 4 күн бұрын
Nice explanation. I'm really looking forward to your experiments with impedance measurements at the higher frequencies.
@eie_for_you
@eie_for_you 4 күн бұрын
Thank you! Yeah, the higher frequency stuff is a LOT trickier! As an adjunct to this, there is my video on measuring non-50 Ohm stuff with a 50 Ohm VNA. 🙂 kzbin.info/www/bejne/mpinhGeon8dgfbc
@y_x2
@y_x2 4 күн бұрын
Good info. You forgot to say that the equipment must be turn on!
@eie_for_you
@eie_for_you 4 күн бұрын
I'm glad you liked the video! You made me think ... I thought for sure I said to turn on the little amplifier ... yup, at 10:29. 🙂
@geirha75
@geirha75 4 күн бұрын
can we somehow measure pure Z impedance of an efhw antenna up in the air. no unun connected. local conditions.
@eie_for_you
@eie_for_you 4 күн бұрын
Check out this video: kzbin.info/www/bejne/mIHQpXyMotF9pc0 🙂
@ernestb.2377
@ernestb.2377 4 күн бұрын
Very helpful Ralph! I know 99.9% of this but still enjoy listening to you, and use it as a refresher 😊
@eie_for_you
@eie_for_you 4 күн бұрын
I'm glad you found it helpful ... and refreshing ;-)
@AuraARTStudio
@AuraARTStudio 4 күн бұрын
Спасибо. Очень подробно и понятно объясняете. 👍
@eie_for_you
@eie_for_you 4 күн бұрын
Thank you! 🙂
@octapc
@octapc 4 күн бұрын
I haven't touched RF gear in over 30 years from when I was in the RAAF. Impedance matching theory has fallen out of my head and will probably never be needed. However, this video is the first of yours that I will watch solely for the purpose of reminiscing 😂
@eie_for_you
@eie_for_you 4 күн бұрын
Thank you very much for your service to your country! I was in the U.S. Air Force. Enjoy! 🙂
@mikesradiorepair
@mikesradiorepair 4 күн бұрын
Don't have enough fingers and toes to count how many times I have tried to explain measuring a component or circuit's performance and the importance of matching input and output impedance. In my case it's usually a RF related circuit or component like a crystal or ceramic filter, band pass filter or mismatched amplifier stages with hi/low input output stages. You can't just hook up a filter or filter network, etc... to the input / output of a spectrum analyzer or vector network analyzer with a 50 Ohm impedance to a circuit or component with possibly thousands of Ohms of impedance and expect the result to be correct. In most cases people get it, a few are like talking to a brick wall. Mike KC3OSD
@eie_for_you
@eie_for_you 4 күн бұрын
If you take in my video on measuring non-50 Ohm things using a 50 Ohm VNA (kzbin.info/www/bejne/mpinhGeon8dgfbc) you will see that I am in agreement. If we absolutely do not know what the input impedance is, where do we begin and how do we accommodate this? An initial measurement without impedance matching gives us a ballpark. From this ballpark, how precise do we need to be? Many times this ballpark is sufficient, but not always. Then we have to turn to impedance matching business. In my next video I do NOT do impedance matching because the amplifier I will be testing the input impedance of is SUPPOSED to be in a 50 Ohm system, though it turns out ... not so much. 🙂
@POLMAZURKA
@POLMAZURKA 4 күн бұрын
show us the schematic and how do they work.....................
@eie_for_you
@eie_for_you 4 күн бұрын
If you look in the description, you will find a link to the "go along with the video" sheet that I provided which has the schematics and the formulas in it. 🙂
@donepearce
@donepearce 4 күн бұрын
When you changed the scale to 0.2 the data changed appropriately but the smith chart behind it did not. It remained at unity scale. Have they fixed this yet?
@eie_for_you
@eie_for_you 4 күн бұрын
Honestly, I never paid much attention to the lines. I look at the numbers associated with the marker. If they fixed that, I haven't updated mine with the new firmware. 🙂
@donepearce
@donepearce 4 күн бұрын
@@eie_for_you OK. For me the lines are the key, and the numbers are just detail. The lines tell me what structures I need to move a marker to the centre.
@eie_for_you
@eie_for_you 4 күн бұрын
@@donepearce Aaaaah! I see. 🙂
@DennisG-h4v
@DennisG-h4v 6 күн бұрын
Very educational Channel
@eie_for_you
@eie_for_you 6 күн бұрын
Thanks, man! 🙂
@davidluther3955
@davidluther3955 6 күн бұрын
AS USUAL AN EXCELLENT EXPLANATION!ONE WAY OF CALCULATING THE RESONANT FREQUENCY IS TAKING THE GEOMETRIC MEAN OF THE LOW AND HIGH FREQUENCIES OF THE BANDWIDTH.
@eie_for_you
@eie_for_you 6 күн бұрын
In the simplest cases, yes. I have also seen nearby (downstream or upstream) resonant circuits or circuitry "pull" the bandwidth edge of a resonant circuit so this didn't apply. 🙂
@davidluther3955
@davidluther3955 7 күн бұрын
EXCELLENT PRESENTATION!I AM HAVING A DIFFICULT TIME UNDERSTANDING HOW THIS ALL WORKS.DOES THE MATH INVOLVE THE FOURIER SERIES?
@eie_for_you
@eie_for_you 7 күн бұрын
Yeah ... it is a bit of a mind bender! 🙂
@chrissidiropoulos5166
@chrissidiropoulos5166 7 күн бұрын
Hi , your video was really informative. Thank you . The only thing I am not sure is regarding the thru connectors. You used them as part of the calibration, however you removed them when connecting the attenuator and amplifier. By doing so, isn't the calibration results affected somewhat due to the removal of the thru connectors?
@eie_for_you
@eie_for_you 7 күн бұрын
Good question ... The thru connector only affects the thru calibration. I know this is obvious, but I just wanted to be sure we are on the same page. If this were a lab quality calibration set, then the thru connector's characteristics are taken into consideration when the calibration is performed. This is done through extra parameters that we enter for this and all of the standards used. When we calibrate without these extra parameters, the VNA assumes ideal standards. Among other things, it means that the thru standard is assumed to have 0 loss and a perfect 50 Ohm, non-reactive impedance. With that said, if we use good quality through connectors, the effects on the thru calibration is actually pretty minimal, especially when we realize the type of stuff we are doing and the quality of the actual standards we are using. Very, very few people are willing to pay $1000++ for a set of laboratory quality standards for a nanoVNA. So, the MUCH shorter answer is, "Yes it does have an effect, but, all things considered, it is a very minor effect IF we are using a good quality "thru standard." Hope this helps. 🙂
@acestudioscouk-Ace-G0ACE
@acestudioscouk-Ace-G0ACE 8 күн бұрын
Really useful Ralph, thank-you. Certainly a good addition to the toolkit.
@eie_for_you
@eie_for_you 7 күн бұрын
Thank you! I'm glad that you found this helpful! 🙂
@davidluther3955
@davidluther3955 8 күн бұрын
EXCELLENT LECTURE!A CONFUSED GORRILLA LOL!
@eie_for_you
@eie_for_you 7 күн бұрын
Thanks! 🙂
@Brenda-jf2pe
@Brenda-jf2pe 8 күн бұрын
Imagine the slide rule guys doing this, like 50 years ago! Thank computers thank you AI! JohnBoyUtah KJ7TBR
@eie_for_you
@eie_for_you 7 күн бұрын
LOL! I was one of those slide rule guys many moons ago! 😀
@piktomane
@piktomane 9 күн бұрын
Every HAM is suppose to know that, it's basic knowledge.
@eie_for_you
@eie_for_you 9 күн бұрын
Unfortunately, not everyone remembers what they learned to get their license. And ... not everyone who watches these videos are hams. 🙂
@richard-fy2mu
@richard-fy2mu 9 күн бұрын
Ok Love this I work 40/20 phone area. Since space is messy where do I set the frequency to optimize the performance in the region of 7.15-7.3 and 14.15-14.3. Hi end, middle range, low end? That is only question remaining. My design is 14.1 but I am getting argued this will not correspond to best swr on 40-meter area. Also, Hi Q means less Band Width on 40?
@eie_for_you
@eie_for_you 9 күн бұрын
First, the trap is tuned for the 14 MHz band so as to "hide" the extra wire required for 40 m while on 20 m. There is the forever debate where you want the trap tuned by a lot of people; each of these have their "good reasons" for tuning it there. My personal preference is near the top of the frequencies I want for the 20 m band. Why? Again, my reasoning ... It hides the extra wire best where I need it hidden the most. Then, as I move away from the resonant frequency of the trap, it becomes less effective in hiding that extra wire. Thus, as I move away from the higher end of the band, the antenna will "look" somewhat longer, widening the good SWR on the 20 m band. The trap Q will not affect the tuning on 40m because it becomes "invisible" to it. We are far away from the resonant frequency of the trap. Be sure to take in the video on how to create your own capacitors for the trap: kzbin.info/www/bejne/jHqwmZmObtaol8U I hope this helps! 🙂
@y_x2
@y_x2 12 күн бұрын
Old spectrum analyzer don't use FFT filter or any digital one! The signal is not directly translated to low frequency but upconverted first then converted to a lower frequency.
@eie_for_you
@eie_for_you 12 күн бұрын
Yes, I know this and I acknowledge this at the beginning as I tell folks that there are two camps. Then, I give the hetrodyne concept a much more complete treatment starting at 7:38. I start with the purely analog versions, show how the digital versions work in this camp and then talk about the hybrid versions (like the RF Explorer) which uses a hetrodyne front end and an FFT back end. This presentation is based on the Rhode&Schwartz book "Fundamentals of Spectrum Analyzers." 🙂
@davidluther3955
@davidluther3955 12 күн бұрын
EXCELLENT PRESENTATION!IS THIS WHAT YOU CALL THE FOURIER SERIES REPRESENTED HERE?
@eie_for_you
@eie_for_you 12 күн бұрын
Well ... actually, this is simply the trigonometric multiplication of the two signals as defined. The output of the Fourier is in the form f(x) (frequency domain) and this is in the form A(t) (amplitude at any time, t, a time domain representation). We could apply the Fourier analysis to it to yield the frequency components from this time domain function, but with the frequency components so obviously represented in the time domain function, to do so might be a fun thing to do, but not very productive. 🙂
@orhuk
@orhuk 13 күн бұрын
Is it possible to do all the calculation with nanovna instead of by hand?
@eie_for_you
@eie_for_you 13 күн бұрын
The nanoVNA is a measurement device. It will not do the calculations for you. 🙂
@mjunek
@mjunek 13 күн бұрын
Great video! I have a bunch of unknown cable (conducts are 2x 16awg, 5x 24awg) which I intend to use for some signals over the 5 smaller cables along with power over the larger ones. I am hoping to transmit an RS422/RS485 equivalent differential signal......Is the TDR method valid if was to pick two of these smaller gauge wires as a "pair" to know how to properly terminate the line at both ends? I have access to a DSO and sig-gen, so this method would be best :) Thanks!
@eie_for_you
@eie_for_you 13 күн бұрын
Yes, actually! A company I worked for bought a 1,000 ft roll of multiconductor, twisted pair, custom cable that I had to test for impedance. The TDR method is the method that I used to do that.🙂
@mjunek
@mjunek 7 күн бұрын
@@eie_for_you fantastic! Thank you! Looks like I've got some homework to do then 🤣
@eie_for_you
@eie_for_you 7 күн бұрын
@@mjunek It's fun to discover stuff. When you see it working, it is very satisfying! 🙂
@michaelrestivo1047
@michaelrestivo1047 14 күн бұрын
Thank you again Ralph for another great video! I do have a question please about how you calculated total impedance. If R is 52 Ohms and jx is +5.56, how do we arrive at 52.3 total ohms of reactance?
@eie_for_you
@eie_for_you 14 күн бұрын
I'll point you to this video which will explain the answer to this question much better than I can easily do in a reply to your comment: kzbin.info/www/bejne/amm1f6Frqb2qaMk 🙂
@mandh14
@mandh14 14 күн бұрын
Great presentation sir, subbed.
@eie_for_you
@eie_for_you 14 күн бұрын
Thanks! 🙂
@justin8894
@justin8894 14 күн бұрын
Oh boy. I’ll never understand.
@eie_for_you
@eie_for_you 14 күн бұрын
😞 Sorry to hear that this is giving you such difficulties. Suffice it to say ... if everything is perfect, there is just the two sideband pips. If something is not perfect ( in other words, not perfectly linear), then there will be more sideband pips. Being that we live in a world with imperfect everything, we have to live with at least some extraneous sideband pips. 🙂
@chadx8269
@chadx8269 14 күн бұрын
The RF mixer is not true multiplier, its actual a carrier phase reverse (180) or no phase reverse (0) simply a +1/-1 multiplier of the carrier. A(t)= Sign(Ac*cos(2*pi*fm*t)) * cos(2*pi*fc*t)