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AM demodulation mathematics and sound

OK, I’ll try to be concise. Why did consumer AM radios get saddled with PLL detection?
I hear AM PLL demodulation as being squashed/compressed/denatured/limited in gradient, as opposed to old fashioned sine wave detection as being more open/natural/uncompressed.

If anyone else can hear what I’m talking about, please consider and chime in.

Mathematically, if we treat the two factors of rf, incoming and local as unlimited terms, which they’re not (for reasons of intermod we don’t want them to get too far out of proprotion), but by math if either input increases so does the output.

When one factor is limited to two states as in PLL detection, won’t the whole range of mathematic results be limited by the input terms of one factor being only zero or one?

What happens to all the gradient states of information? They must necessarily be
“mapped” to either zero or one.

If there is someone who can explain mathematically how all these gradient states can be quantized and accurately reproduced against a detection state of one or zero against an arbitrary voltage reference, I’d love to hear how it can be done.

All I can see is ones or zeroes after such a multiplication.
I was taught that this is WHY we don’t want the local oscillator signal to become
disproportionately larger than the incoming rf, unless we like that squashed sound as in
a communications receiver.
 
I haven't studied PLL AM demodulation enough to go into detail about it. But from my understanding, PLL demodulation of a DSB AM waveform using modern chips has economic advantages (at least), and may provide better overall performance than older analog r-f/i-f circuits using a conventional, analog DSB AM envelope detector.

Could the "squashed/compressed/denatured/limited in gradient" sound described in the OP be related to the perceptions of some about even a linear, 16-bit digital audio stream compared to analog audio from an old vinyl, stereo LP record -- where that digital format is capable of far better performance?

Some listeners may have become accustomed/calibrated to a certain "sound," and prefer it to another that has measurably better audio characteristics.

And there is nothing wrong with that...
//
 
Tom Wells said:
Why did consumer AM radios get saddled with PLL detection?
PLLs can also decode FM by changing the frequency multiplier. Reusing that bit of the circuit reduces cost in designing the radio.

Just a theory, didn't check any modern radio schematics to confirm this.
 
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