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 How I can perform deconvolution of two datasets?
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a_user

USA
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Posted - 08/13/1998 :  7:59:00 PM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
I have an excitation pulse and response (decay) and I want to perform
de-convolution procedure and after that fit using 3Expdecay.
I can fit my response curve using build-in 3ExpDecay function
in Non linear curve fitting, but the problem is that my excitation
pulse is not a delta-pulse (this is also dataset). So, first
I must perform de-convolution of two datasets. Can I resolve
this problem without script writing? And how I can perform
de-convolution of two datasets?

a_user

USA
0 Posts

Posted - 08/13/1998 :  12:02:00 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Deconvolution of Two Datasets

In signal analysis, deconvolution is the process of
subtracting or filtering out an unwanted signal. Initially the
worksheet has data in Time(X), Signal(Y) and Response(Y)
columns, with empty Index(disregard) and DeConv(Y) columns to
hold the results.

The Response dataset must be adjusted to have an odd
number of points such that twice the number of points is less than
the number of points in the signal dataset. This is the signal we will
try to remove (using deconvolution). For example, if the Signal
dataset has 1000 datapoints, the Response dataset should have 499
points (or less and an odd number of points).

The first step in using the deconvolution function is to
assign the dataset names in the fft object:

fft.deconv.indexdata$=Sample_Index;
fft.deconv.deconvdata$=Sample_DeConv;

Then we can call the deconvolution function with the signal
and response arguments:
fft.deconv(Sample_Signal,Sample_Response);

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