RC Discrete Rectangular Pulse Response by Convolution.

Cuthbert Nyack
One way to obtain the response of a circuit to any input is to convolve the input signal with the impulse response of the circuit. In this page the response is found for the discrete case. The input is a sampled version of the rectangular pulse and the impulse response is a sampled version of the continuous impulse response. Discrete convolution is then used to find the output.
When using the discrete convolution, the pulse can be kept fixed and a reversed verion of the impulse response is moved across with the product and sum taken at each stage. Alternatively the impulse response can be kept fixed and a reversed version of the input moved across.

In the following applet the eg parameters:-
(1.0, 1.0, 1.0, 1.0, na, 1.0, 14, 0, na, na) show the output when the input is fixed and the impulse response moved by changing N. The pink line show the output at each step.

(1.0, 1.0, 1.0, 1.0, na, 1.0, 14, 1, na, na) show the output when the impulse response is fixed and the input moved by changing N. The pink line show the output at each step.





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2006 Cuthbert Nyack.