Z Transform and Deconvolution.

Cuthbert Nyack
Given the output y(n) from a system, it is possible to determine the input to the system x(n) if the Impulse Response I(n) of the system is known. The Equation required is shown below and this proceedure is called deconvolution..
The applet below illustrates the proceedure. The Impulse response is set by the first 12 scrollbars labelled in cyan and the output by the next 24 labelled in pink. The numerical values are printed in white.



The image below show an example when the output is an approximate sinusoid.

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COPYRIGHT 2008 Cuthbert Nyack.