[SI-LIST] From spectrum of i(t) to spectrum of d(i(t))/dt
- From: "jun feng" <junfeng.zhou@xxxxxxxxx>
- To: si-list@xxxxxxxxxxxxx
- Date: Tue, 15 May 2007 17:06:14 +0200
Hi All,
I have some questions on the spectrum translation. Recently, I measured
the spectrum of power supply current i(t) ( very long time range ) with
current probes, then I would like to transfer it to the spectrum of di/dt. I
know thoeretically F( di(t)/dt ) = j w F ( i(t) ). My question is : Does it
mean at every frequency point, the spectrum level is multiplied by the
corresponding frequency for di/dt signal ? If this is the case, the I end
up with quite large spectrum value in di/dt which is definitly not
reasonable. For instance, at 1 GHz, the spectrum level is increase by 180
dB. I am quite confused about this. Is my derivation wrong ?
One easy solution might be symply taking the derivative of i(t), then do
FFT analysis. However, it is not feasible because the data is huge for such
a long period. This is why I ask if there is any short cut which I can use
to directly get the spectrum of di/dt from i(t) .
Hope anyone who had such experience could help me out! Thanks in advance
,
regards,
Junfeng
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