This appears to be the missing piece . . .

> ----------
> From:         Ken Javor[SMTP:[email protected]]
> Sent:         Thursday, October 18, 2001 4:39 PM
> To:   [email protected]; [email protected];
> [email protected]
> Subject:      FW: duty cycle correction factors
> 
> There is another issue which is different which may be what the FCC is
> after
> (I didn't read the referenced part 15 paragraph).  FCC calls it pulse
> desensitization.  It was what the mil and aerospace world used to call a
> broadband signal.  If a signal is in the passband of a receiver for less
> time than it takes to charge the IF bandpass filter, then the filter
> output
> is the average of the input.  For instance, if the signal lasted one tenth
> of a filter time constant, then the potential (Volts) that the filter
> charges to is one tenth of the peak level that was fed into the filter.
> This is very important when the test instrumentation uses a different
> bandwidth than the real world victim protected by the requirement.  Take
> broadcast TV as an example.  FCC/CISPR requires a 120 kHz bandwidth, but
> TV
> uses 6 MHz.  An interference signal lasting 1 us with a 10% duty cycle (on
> 1
> us, off 9 us)  would be averaged by the CISPR measurement and would appear
> at roughly 10% the level it would present to the TV receiver.  In this
> case,
> the pulse desensitization factor is calculated as 20 log (duty cycle),
> because we are talking about a coherent signal where the voltage is
> proportional to the duty cycle,  There is one last very important concept
> here and that is duty cycle itself.  Duty cycle is not an absolute but is
> relative to the filter time constant.  We could imagine a signal lasting
> 10
> us and having a 10% duty cycle (10 us on, 90 us off) and the CISPR
> receiver
> and the TV would report exactly the same level.  Duty cycle is relative to
> receiver bandwidth.
> 
> ----------
> From: "Ken Javor" <[email protected]>
> To: [email protected] , [email protected] ,
> [email protected]
> Subject: Re: duty cycle correction factors
> Date: Thu, Oct 18, 2001, 2:37 PM
> 
> 
> I wasn't going to weigh in on this but...  what was presented by Mr.
> Umbdenstock is equivalent to saying that since 2 + 2 = 4, then 2 x 2 = 4.
> It is tautological.  The decibel scale is a power ratio.  If a signal has
> a
> particular duty cycle then it is the total power that is affected by the
> duty cycle ratio.  If something is on 100% and then you reduce the on-time
> to 50%, clearly you consume half the previous POWER.
> 
> dB = 10 log (P1/P2)
> 
> Let "a" be the duty cycle ratio, with 0<a<1, so that P1 = aP2.
> 
> Then dB = 10 log (aP2/P2) = 10 log (a).  QED.
> 
> ----------
> >From: [email protected]
> >To: [email protected], [email protected]
> >Subject: RE: duty cycle correction factors
> >Date: Thu, Oct 18, 2001, 12:26 PM
> >
> 
> >
> > Stuart,
> >
> > Duty cycle in 15.231 is related to a voltage ratio, therefore  20
> log(duty
> > cycle) will provide the correct factor.
> >
> > Demonstrate it to yourself.  Start with a given value (say 100V),
> multiply
> > this by some duty cycle (say 15% or .15).  Convert the result to dB.
> This
> > is your reference result.  Now take 20 log of a duty cycle (.15).
> Convert
> > your given value (100V) to dB.  Add the numbers together, duty cycle dBs
> to
> > the given value dBs, and behold -- the same answer as the reference
> result.
> >
> > Best regards,
> >
> > Don
> >
> >> ----------
> >> From:  Stuart Lopata[SMTP:[email protected]]
> >> Reply To:  Stuart Lopata
> >> Sent:  Thursday, October 18, 2001 12:00 PM
> >> To:  emc
> >> Subject:  duty cycle correction factors
> >>
> >>
> >> Part 15.231 devices use a duty cycle correction factor to adjust peak
> >> readings.  The duty cycle represents the fractional on-time over a
> given
> >> period of time (that must be under some limit).  Anyways, given this
> >> fractional time, d, how do you make the conversion to dB?
> >>
> >> 10log(d) or 20log(d)?
> >>
> >> There have been some misinterpretations, since the readings are made at
> a
> >> span of zero hertz (voltage readings).  Normally, a reduction in
> voltage
> >> would use the 20log scale.  However, since the duty cycle does not
> >> represent
> >> a scale down (it represents the off-time versus on-time), the 10log
> scale
> >> seems more appropriate.
> >>
> >> I have seen conflicting documents, so would like your professional
> >> opinions!
> >>
> >> Thanks,
> >>
> >> Stuart Lopata
> >>
> >>
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