| Line 9: | Line 9: | ||
---- | ---- | ||
Post Your answer/questions below. | Post Your answer/questions below. | ||
| + | |||
| + | I thought I would start with a function that had a simple F.T. | ||
<math>x(t) = \delta(t), T=1</math> | <math>x(t) = \delta(t), T=1</math> | ||
| Line 14: | Line 16: | ||
<math>\begin{align} | <math>\begin{align} | ||
z[n] &= x_T[n] \\ | z[n] &= x_T[n] \\ | ||
| − | &= \delta(t+T | + | &= \delta(t+T) |
\end{align}</math> | \end{align}</math> | ||
Fourier Transform of x(t) = 1 | Fourier Transform of x(t) = 1 | ||
| − | y[n] = x(t)*z[n] <-- is this correct? | + | <math>y[n] = x(t)*z[n]</math> <-- is this correct? |
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Revision as of 09:44, 28 November 2010
Practice Question 4, ECE438 Fall 2010, Prof. Boutin
Frequency domain view of filtering.
Note: There is a very high chance of a question like this on the final.
Define a signal x(t) and take samples every T starting from t=0 (using a specific value of T). Store the samples in a discrete-time signal z[n]. Obtain a mathematical expression for the Fourier transform of x(t) and sketch it. Obtain a mathematical expression for the Fourier transform of y[n] and sketch it.
Let's hope we get a lot of different signals from different students!
Post Your answer/questions below.
I thought I would start with a function that had a simple F.T.
$ x(t) = \delta(t), T=1 $
$ \begin{align} z[n] &= x_T[n] \\ &= \delta(t+T) \end{align} $
Fourier Transform of x(t) = 1
$ y[n] = x(t)*z[n] $ <-- is this correct?
- Answer/question
- Answer/question
- Answer/question
