Revision as of 16:02, 13 January 2011 by Mboutin (Talk | contribs)

Cascade a time delay and a time scaling

Consider the following two systems:

$ x(t) \rightarrow \left[ \begin{array}{ccc} & & \\ & \text{system 1} & \\ & & \end{array}\right] \rightarrow y(t)=x(t+2) $

$ x(t) \rightarrow \left[ \begin{array}{ccc} & & \\ & \text{system 2} & \\ & & \end{array}\right] \rightarrow y(t)=x(5t) $

Obtain a simple expression for the output of the following cascade:

$ x(t) \rightarrow \left[ \begin{array}{ccc} & & \\ & \text{system 1} & \\ & & \end{array}\right] \rightarrow \left[ \begin{array}{ccc} & & \\ & \text{system 2} & \\ & & \end{array}\right] \rightarrow y(t) $


(Sorry, I don't know how to make a real "box" to represent a system. If somebody knows, please help. -pm)

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Back to ECE301 Spring 2011 Prof. Boutin

Alumni Liaison

Recent Math PhD now doing a post-doctorate at UC Riverside.

Kuei-Nuan Lin