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[mathcad] Re: DSP method

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[mathcad] Re: DSP method
Author: David Burton    Posted: Mon, 16 Jan 2006 14:51:07 -0800
You can time shift a sampled sequence by arbitrary partial sample
intervals by multiplying it with a unity amplitude phase
ramp in the frequency domain. Use complex math to do this. If you
have a sharp transient in your signals that you can
use as an alignemt reference this can be done quite accurately.

See USPTO #5423325 for a discussing of aligning signals with finer
temporal resolution than the sample rate using this method.

Or you could increase the sample rate by upsampling the signals with
proper filtering.

David B

Mark Smith wrote:

>Hi again
>Thanks to all who pointed me in the right direction of cross correlation.
>I have a secondary question which hopefully someone might have an answer to.
>I have done the cross correlation and plot its value against the shift to
>find the maxima i.e. at what delay the 2 traces are most similar.
>Is it valid for me to fit a polynomial to the points around the maximum &
>solve for the maximum at a point intermediate to the sample points. In other
>words can I resolve a time delay less than the period between samples or
>must I increase the sample rate?
>
>thanks again
>regards
>mark


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