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Article #143

Re: Energy within a Digitized Pulse

#143
From: Chia-Liang Liu
Date: Sat, 25 Jul 1992 19:47
22 lines
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In article <uJVgoB1w164w@gmp.lonestar.org> greg@gmp.lonestar.org (G.R. Basile) writes:
>
>Isn't this only an approximation? For a countinuous signal the power is
>evaluated as the Integral of the function over a given period divided by
>the period. Isn't the above algorithm akin to evaulating the integration
>with Riemann sums. Simpson's rule could be used to increase the accuracy.
>I would think that the error gets significant as the the frequency of
>the function approaches half the sampling frequency.
>What would be an exact solution ?
>

Yes and No! If you try to evaluate the energy of the original
continuous signal, you either use Simpson's rule or over-sample
the signal to increase the accuracy. However if you are talking about
the energy of a sampled_and_hold signal, sum and multiply by Ts is
what you want.

-- 
Ka-Leung Lau ( Chia-Liang Liu )
Digital Communications Research Laboratory
Department of Electrical and Computer Engineering 
University of California, Davis (Cal Aggies)
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Path: arc1-ca.pugleaf.net!sparky!uunet!cis.ohio-state.edu!ucbvax!ucdavis!madrone.eecs.ucdavis.edu!liuc
From: liuc@madrone.eecs.ucdavis.edu (Chia-Liang Liu)
Newsgroups: comp.dsp
Subject: Re: Energy within a Digitized Pulse
Keywords: Attenuation, Energy
Message-ID: <15498@ucdavis.ucdavis.edu>
Date: 25 Jul 92 19:47:49 GMT
References: <15458@ucdavis.ucdavis.edu> <uJVgoB1w164w@gmp.lonestar.org>
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