Hw8: Difference between revisions

Revision as of 22:06, 1 December 2010

=Make a page about interpolating FIR filters. Take care to note how many multiply/add operations.

Using the class notes on November 1

The are under the rth impulse function of the interpolated signal is

$y(t)=\sum _{r=-\infty }^{\infty }y(r)\delta (t-\left({\frac {\left(rt\right)}{2}}\right))$

For every T seconds, the number of add/multiply operations is

$(2M+1)(1/2)\!$

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+=Make a page about interpolating FIR filters. Take care to note how many multiply/add operations.
-<math> \sum_{m=-M}^m a_{m}x[(r-m)T/2]=y(r) </math>
+Using the class notes on November 1
-The number of add/multiply operations is half the limits of the sumation above. Half results from only needing to perform calculations on half the data.
+The are under the rth impulse function of the interpolated signal is
+<math> y(t)= \sum_{r=-\infty}^\infty y(r)\delta (t- \left(\frac{\left(rt\right) }{2} \right)) </math>
-<math>(2M+1)(1/2)\!</math>
+For every T seconds, the number of add/multiply operations is
-Substitute
-<math>r/2=n =m/2\!</math>
+<math>(2M+1)(1/2)\!</math>
-in y(r) to get the result of the interpolating filter
-<math> y(t)= \sum_{r=-\infty}^\infty y(r)\delta (t-rT/2) </math>