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Showing posts with label Terman --- Frederick. Show all posts
Showing posts with label Terman --- Frederick. Show all posts

Wednesday, December 7, 2022

Is Envelope Detection a Fable? Or is it Real? Diodes, Square Laws and all that

HOW ENVELOPE DETECTION (SUPPOSEDLY?) WORKS 

Most of us grew up with the above diagram of how a receiver detects (demodulates) an AM signal. Here is how they say it works: 

--  Because of the way the sidebands and the carrier in the transmitted signal interact, we end up with a signal whose "envelope" matches the frequency of modulation. And we just need one side of the envelope. 

-- We used a simple diode to rectify the incoming signal. 

-- A simple filter gets rid of the RF. 

-- We pass the resulting signal through a capacitor and we get  audio,  which we listen to. 

REASONS FOR SCEPTICISM

But recently, a member of my local radio club has questioned this explanation of AM detection.  He maintained that "envelope detection" is not real, and that was actually happening was "square law" mixing. I guess there are reasons for skepticism about the envelope detection explanation:  The envelope detection explanation does seem very (perhaps overly) simple. This does sound a bit like the kind of "dumbed down" explanation that is sometimes used to explain complex topics (like mixing). Envelope detection does seem consistent with the incorrect insistence from early AMers that "sidebands don't exist." (Of course, they do exist.)  All the other detectors we use are really just mixers.  We mix a local oscillator the incoming signal to produce audio.  Envelope detection (as described in the diagram above) seems oddly different.  

Denial of envelope detection can even be found in the ARRL handbook:  On page 15.9 of the 2002 edition we find this:  "That a diode demodulates an AM signal by allowing its carrier to multiply with its sidebands may jar those long accustomed to seeing diode detection ascribed merely to 'rectification.'  But a diode is certainly non-linear. It passes current only in one direction and its output is (within limits) proportional to the square of its input voltage. These non-linearities allow it to multiply."  

ISN'T THIS REALLY JUST MIXING, WITH THE CARRIER AS THE LO? 

It is, I think, tempting to say -- as the ARRL and my fellow club member do -- that what really happens is that the AM signal's carrier becomes the substitute for the VFO signal in other mixers.   Using the non-linearity of the square law portion of the diode's characteristic curve, the sidebands mix with the carrier and -- voila!  -- get audio. In this view there is no need for the rectification-based explanation provided above. 

But I don't think this "diode as a mixer, not a rectifier" explanation works: 

In all of the mixers we work with, the LO (or VFO or PTO) does one of two things: 

-- In non-switching mixers it moves the amplifier up and down along the non-linear characteristic curve of the device.  This means the operating point of the device is changing as the LO moves through its cycle.   A much weaker RF signal then moves through the device, facing a shifting operating point whose shift is set by the LO.  This produces the complex repeating periodic wave that contains the sum and difference frequencies. 

-- In a switching mixer,  the device that passes the RF is turned on and off.  This is extreme non-linearity.  But here is the key:  The device is being turned on and off AT THE FREQUENCY OF THE LO.  The LO is turning it on and off.  The RF is being chopped up at the rate of the LO. This is what produces the complex repeating wave that contains the sum and difference frequencies.  

Neither of these things happen in the diode we are discussing.  If you try to look at the diode as a non-switching mixer, well, the operating point would be set not by the carrier serving as the LO but by the envelope consisting of the carrier and the sidebands.   And if you try to look at is as a switching mixer you see that the switching is being controlled not by the LO but by the envelope formed by the carrier and the sidebands.  

Also, this "diode as a mixer" explanation would require the diode to be non-linear.  That is the key requirement for mixing.   I suppose you could make a good case for the non-linearity of solid state diodes, but the old vacuum tube diodes were quite linear.  The rectifying diode mixer  model goes back to vacuum tube days.  The "diode as rectifier" model worked then.  With tubes operating on the linear portion of the curve, the diodes were not  -- could not -- have been working as mixers.  We have just substituted solid state diodes for the tubes.   The increased non-linearity of the solid state diodes does introduce more distortion, but the "detection by rectification" explanation remains valid. 

Even in the "square law" region (see diagram below) an AM signal would not really be mixed in the same way as signals are mixed in a product detector.  Even in the square law region, the diode would be responding to the envelope. Indeed, the Amateur Radio Encyclopedia defines "Square Law Detector" as "a form of envelope detector."   And even in the square law region, the incoming signal would be rectified. It would be moving above and below zero, and only one side of this waveform would be making it through the diode.   Indeed the crystal radio experts discuss "rectification in the square law region" (http://www.crystal-radio.eu/endiodes.htm )  So even in the square law region, this diode is a rectifying envelope detector. 


THE BEST PROOF

Here is what I think is the best proof that the "envelope detection" explanation is real:  In this video, we see someone build an envelope detector in a simulator.  Watch as he then traces the signals as they move through the diode, the RC filter, and the coupling capacitor.  He goes through it cycle-by-cycle.  You can clearly see how the rectification of the AM leads to envelope detection.

 

The rectifying envelope detection model goes way back in radio history, back to when authors did not shy away from complex technical explanations.  Terman knew how mixers worked, and his 1943 "Radio Engineers Handbook" went to 1019 pages. Terman presented it as a rectification-based detection of the envelope.  I think envelope detection is real, and that Dr. Terman was right. 
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Some links that might help: 

Analog Devices  has a very good, rigorous site showing how envelope detectors work: 

Here is great article by W4ENE on Envelope Detectors and how they have been used in ham receivers over the years: 


This QEX article begins with some useful vector diagrams showing how the sidebands and carrier combine to form an envelope that is equal to the frequency of mondulation: https://swling.com/blog/wp-content/uploads/2009/08/syncdetectionarrl.pdf

RF Cafe has some good graphs showing the linear and "square law" portions of the crystal diode's curve (see above): http://www.rfcafe.com/references/electrical/ew-radar-handbook/detectors.htm

The crystal radio guys have a good take on square law detection (note, they just see it as rectification, but on a lower, more parabolic portion of the curve): http://www.crystal-radio.eu/endiodes.htm

Here is a good booklet from 1955 on AM Detectors: https://worldradiohistory.com/BOOKSHELF-ARH/Rider-Books/A-M%20Detectors%20-%20Alexander%20Schure.pdf


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