Hi

I understand that we are talking about a couple of different things. Since we 
started out talking about OCXO’s I figured it was worth it to bring it back to 
where we started.

Bob

On Sep 11, 2014, at 4:32 AM, Bernd Neubig <[email protected]> wrote:

> Hi Bob,
> 
> your example is correct. However I was not talking about OCXO specifically, 
> but about crystal oscillators in general. And the effect I have mentioned is 
> not limited to wide-pull VCXO, but may occur at "normal" VCXO also. I named 
> the modulation "audio" for sake of simplicity of expression - it was 
> certainly not accurate enough. If you are modulating data (FSK) then such 
> interferences have a risk to occur even at moderate data rates.
> I do not talk about theorectical "can be's" but about practical experience.
> 
> Best regards
> 
> Bernd
> 
> 
> -----Ursprüngliche Nachricht-----
> Von: time-nuts [mailto:[email protected]] Im Auftrag von Bob Camp
> Gesendet: Donnerstag, 11. September 2014 00:18
> An: Discussion of precise time and frequency measurement
> Betreff: Re: [time-nuts] OCXO Voltage Input? (Bob Camp)
> 
> Hi
> 
> If you are modulating a normal OCXO EFC with audio, and the output frequency 
> is not being multiplied up, the modulation index will be very low. Low 
> modulation index means that the higher order FM sidebands will be quite far 
> down. 
> 
> If you take “audio” to be < 10 KHz, and a VHF OCXO to be 100 MHz: With a 10 
> ppm EFC range, you get 1.0 KHz of deviation. The modulation index is < 1 a 
> decade below your upper modulation frequency. That’s already a pretty wide 
> swing OCXO and a fairly high modulation frequency for an EFC line. 
> 
> If you have a spur that is in the 50 to 150 KHz range, you are talking about 
> the 5th to 15th sideband off of 10 KHz or the 50th to 150th sideband off of 1 
> KHz. At 50 sidebands out and an index of 1, you are in the “forget about it” 
> region. Even at 10 KHz, the sideband is not likely to create much of an 
> issue. The distortion from the non-linear EFC slope will be more of a problem 
> in a practical sense. 
> 
> ——
> 
> Since the modulation is single sideband, yes it converts PM <-> AM. It also 
> will be impacted by any limiters in the system and will not multiply the same 
> way as a pure PM modulation. The phase of the sideband will change as you go 
> through the resonance, further messing up the multiplication / limiter math. 
> 
> Bob
> 
> On Sep 10, 2014, at 12:50 PM, Magnus Danielson <[email protected]> 
> wrote:
> 
>> Bernd,
>> 
>> Brilliant point. Easy to miss if one has a to simple model of the oscillator 
>> at hand.
>> 
>> Since it is a single-side-band mode, it will show up both as AM and PM with 
>> the same amplitude.
>> 
>> Cheers,
>> Magnus
>> 
>> On 09/10/2014 03:27 PM, Bernd Neubig wrote:
>>> Hi Bob,
>>> 
>>> your description oft he spurious coming from higher overtone of 
>>> low-frequency modes is correct. I want to add, that all thickness-shear 
>>> mode crystals (such as AT, BT and SC-cut) have so-called an-harmonic 
>>> spurious modes, which is a whole ensemble of spurs located  slightly above 
>>> above the main mode (fundamental or overtone mode). "slightly means 
>>> starting at about 50 kHz to 200 kHz above for fundamental mode and about 30 
>>> ... 50 kHz above for overtone modes. These an-harmonic modes are relaled to 
>>> the length and width of the active area (electrode).
>>> These spurious modes do not come only into play for wide-pull VCXO, but 
>>> also in the case that the EFC input is used for modulation with signals in 
>>> the audio frequency range.
>>> Remember that a frequency modulated signal has side-lines which are N* the 
>>> audio frequency apart from the carrier. The amplitude of these side lines 
>>> follows the so-called Bessel functions and varies with the modulation index.
>>> If it happens that such a "Bessel-line" for a particular modulation 
>>> frequency coincides with such a spur, it comes to an interference, This 
>>> means the modulation frequency response becomes a discontinuity (dip) at a 
>>> sharp frequency. Such band breaks do even occur if the spurious is so weak 
>>> that it can barely be seen on a network analyzer.
>>> 
>>> Regards
>>> 
>>> Bernd   DK1AG
>>> AXTAL GmbH & Co. KG
>>> www.axtal.com
>>> 
>>> -----Ursprüngliche Nachricht-----
>>> Von: time-nuts [mailto:[email protected]] Im Auftrag von Bob 
>>> Camp
>>> Gesendet: Sonntag, 7. September 2014 04:21
>>> An: Discussion of precise time and frequency measurement
>>> Betreff: Re: [time-nuts] OCXO Voltage Input? (Bob Camp)
>>> 
>>> Hi
>>> 
>>> Simple answer = crystals are never perfect.
>>> 
>>> Longer winded, but very incomplete answer =
>>> 
>>> A spurious response in a crystal normally refers to a mode that is not one 
>>> of the “identified” modes of the crystal. An AT has a set of identified 
>>> modes, an SC has a more complex set of modes. In the case of the AT it 
>>> would be the fundamental and the odd overtones. In the case of the SC you 
>>> have the A, B, C modes and their odd overtones. None of those are 
>>> considered spurious.
>>> 
>>> A spur can come from a lot of different places.  One common one is higher 
>>> order vibrations in a longer dimension face of the resonator. The 183rd 
>>> overtone of the width of the blank is still a legitimate resonant mode. 
>>> Another source are modes other than shear (like flex). Deriving a full 
>>> catalog of all the modes of an arbitrary blank design is a major project. 
>>> There are only a handful of people out there who are into that sort of 
>>> thing (as opposed to simply cranking through some formulas).
>>> 
>>> Practical answer = Don’t worry about it. Unless you are building a wide 
>>> pull VCXO or a wide deviation VCXO (often the same thing) you will never 
>>> notice them.
>>> 
>>> Bob
>>> 
>>> On Sep 6, 2014, at 9:13 PM, Hal Murray <[email protected]> wrote:
>>> 
>>>> 
>>>> [email protected] said:
>>>>> The biggest problem comes from crystal spurs rather than crystal Q.
>>>> 
>>>> What's the mechanism for making spurs with a crystal?
>>>> 
>>>> --
>>>> These are my opinions.  I hate spam.
>>>> 
>>>> 
>>>> 
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