Homework - Revision history

Guenan: /* Homework #13 */

2004-12-10T18:02:17Z

Homework #13

← Older revision		Revision as of 11:02, 10 December 2004
Line 69:		Line 69:
	</math>		</math>
	==Homework #13==		==Homework #13==
	Total time spent working on Wiki: 3.5 hrs		Total time spent working on Wiki: 3 hrs

Guenan at 16:40, 10 December 2004

2004-12-10T16:40:32Z

← Older revision		Revision as of 09:40, 10 December 2004
Line 67:		Line 67:
	\Rightarrow		\Rightarrow
	c={1\over T}		c={1\over T}
			</math>
	==Homework #13==		==Homework #13==
	Total time spent working on Wiki: 3.5 hrs~~</math>~~		Total time spent working on Wiki: 3.5 hrs

Guenan at 16:40, 10 December 2004

2004-12-10T16:40:02Z

← Older revision		Revision as of 09:40, 10 December 2004
Line 63:		Line 63:
	={1\over T}\int_{-\infty}^{\infty} \left \| x(t) \right \| ^2\,dt		={1\over T}\int_{-\infty}^{\infty} \left \| x(t) \right \| ^2\,dt
	</math>		</math>
			<br>
			<math>
			\Rightarrow
			c={1\over T}
	==Homework #13==		==Homework #13==
	Total time spent working on Wiki: 3.5 hrs		Total time spent working on Wiki: 3.5 hrs</math>

Guenan: /* Homework #9 */

2004-12-10T16:38:09Z

Homework #9

← Older revision		Revision as of 09:38, 10 December 2004
Line 61:		Line 61:
	\Rightarrow		\Rightarrow
	\sum_{k=-\infty}^{\infty} \left \| x(kT) \right \| ^2		\sum_{k=-\infty}^{\infty} \left \| x(kT) \right \| ^2
	=1/T\int_{-\infty}^{\infty} \left \| x(t) \right \| ^2\,dt		={1\over T}\int_{-\infty}^{\infty} \left \| x(t) \right \| ^2\,dt
	</math>		</math>

	==Homework #13==		==Homework #13==
	Total time spent working on Wiki: 3.5 hrs		Total time spent working on Wiki: 3.5 hrs

Guenan: /* Homework #9 */

2004-12-10T16:34:31Z

Homework #9

@@ Line 43: / Line 43: @@
 \left \langle \phi_k(t) \vert \phi_l(t) \right \rangle
 \end{matrix}
 </math>

Guenan: /* Homework #9 */

2004-12-10T16:25:05Z

Homework #9

@@ Line 20: / Line 20: @@
 <math>
 x(t)=\sum_{k=-\infty}^{\infty} x(kT)\phi_k(t)
 </math>

Guenan: /* Homework #9 */

2004-12-10T16:10:14Z

Homework #9

← Older revision		Revision as of 09:10, 10 December 2004
Line 15:		Line 15:
	<br>		<br>
	<math>		<math>
	\left \langle \phi_k(t) \\| \phi_l(t) \right \rangle=\int_{-\infty}^{\infty} \phi_k(t)* \phi_l(t)\,dt		\left \langle \phi_k(t) \vert \phi_l(t) \right \rangle=\int_{-\infty}^{\infty} \phi_k(t)^{*} \phi_l(t)\,dt
			</math>
			<br>
			<math>
			x(t)=\sum_{k=-\infty}^{\infty} x(kT)\phi_k(t)
	</math>		</math>

Guenan at 15:50, 10 December 2004

2004-12-10T15:50:45Z

← Older revision		Revision as of 08:50, 10 December 2004
Line 1:		Line 1:
	==Homework #9==		==Homework #9==
	Problem Statement:		<b>Problem Statement:</b>
	<br>		<br>
	Show that, for a bandwidth limited signal (<math> x(t) </math> with <math> f_{max} < {1\over {2T}} </math>)		Show that, for a bandwidth limited signal (<math> x(t) </math> with <math> f_{max} < {1\over {2T}} </math>)
Line 10:		Line 10:
	<br>		<br>
	And find c.		And find c.
			<br>
			<br>
			<b> Equations: </b>
			<br>
			<math>
			\left \langle \phi_k(t) \\| \phi_l(t) \right \rangle=\int_{-\infty}^{\infty} \phi_k(t)* \phi_l(t)\,dt
			</math>

Guenan: /* Homework #9 */

2004-12-10T00:12:40Z

Homework #9

← Older revision		Revision as of 17:12, 9 December 2004
Line 3:		Line 3:
	<br>		<br>
	Show that, for a bandwidth limited signal (<math> x(t) </math> with <math> f_{max} < {1\over {2T}} </math>)		Show that, for a bandwidth limited signal (<math> x(t) </math> with <math> f_{max} < {1\over {2T}} </math>)
			<br>
	<math>		<math>
	\sum_{k=-\infty}^{\infty}		\sum_{k=-\infty}^{\infty} \left \| x(kT) \right \| ^2
			=c\int_{-\infty}^{\infty} \left \| x(t) \right \| ^2\,dt
	</math>		</math>
			<br>
			And find c.

Guenan at 00:08, 10 December 2004

2004-12-10T00:08:51Z

New page

==Homework #9==
Problem Statement:
<br>
Show that, for a bandwidth limited signal (<math> x(t) </math> with <math> f_{max} < {1\over {2T}} </math>)
<math>
\sum_{k=-\infty}^{\infty}
</math>