(New page: Category:ECE301Spring2011Boutin Category:problem solving = Cascade a time delay and a time scaling = Consider the following two systems: <math> x(t) \rightarrow \left[ \begin{ar...) |
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</math> | </math> | ||
| + | <math> x(t) \rightarrow | ||
| + | \left[ \begin{array}{ccc} & & \\ | ||
| + | & \text{system 2} & \\ | ||
| + | & & \end{array}\right] | ||
| + | \rightarrow y(t)=x(5t) | ||
| + | </math> | ||
| + | |||
| + | Obtain a simple expression for the output of the following cascade: | ||
| + | |||
| + | <math> 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) | ||
| + | </math> | ||
| + | |||
| + | |||
| + | ::(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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Revision as of 16:02, 13 January 2011
Contents
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)
You will receive feedback from your instructor and TA directly on this page. Other students are welcome to comment/discuss/point out mistakes/ask questions too!
Answer 1
write it here.
Answer 2
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Answer 3
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