Hw8: Difference between revisions

Revision as of 23:06, 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

$y (t) = \sum_{r = - \infty}^{\infty} y (r) δ (t - (\frac{(r t)}{2}))$

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

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

@@ Line 1: / Line 1: @@
-<math> \sum_{m=-M}^m a_{m}x[(r-m)T/2]=y(r) </math>
+=Make a page about interpolating FIR filters. Take care to note how many multiply/add operations.
-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.
+Using the class notes on November 1
+The are under the rth impulse function of the interpolated signal is
-<math>(2M+1)(1/2)\!</math>
+<math> y(t)= \sum_{r=-\infty}^\infty y(r)\delta (t- \left(\frac{\left(rt\right) }{2} \right)) </math>
-Substitute
+For every T seconds, the number of add/multiply operations is
-<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>