ASN7 - Sampled half of signal - Revision history

Jodi.Hodge at 20:36, 20 December 2009

2009-12-20T20:36:21Z

← Older revision		Revision as of 13:36, 20 December 2009
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	A rule of thumb for proper sampling is to sample range slightly greater than the range of the signal. Suppose however,you sampled only half of the signal can you do something to recover the whole original signal again?		A rule of thumb for proper sampling is to sample range slightly greater than the range of the signal. Suppose however,you sampled only half of the signal can you do something to recover the whole original signal again?

	~~Follow this procedure~~


			'''Follow this procedure'''

	1. Lets imagine that from our the result of our sampling we measured the positive and the negative part of the signal seperately. [Assume the original signal was centered at zero such that <math> f_{tot}= f_{-}+f_{+} \!</math>		1. Lets imagine that from our the result of our sampling we measured the positive and the negative part of the signal seperately. [Assume the original signal was centered at zero such that <math> f_{tot}= f_{-}+f_{+} \!</math>

Jodi.Hodge at 20:35, 20 December 2009

2009-12-20T20:35:35Z

← Older revision		Revision as of 13:35, 20 December 2009
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	A rule of thumb for proper sampling is to sample range slightly greater than the range of the signal. Suppose however,you sampled only half of the signal can you do something to recover the whole original signal again?		A rule of thumb for proper sampling is to sample range slightly greater than the range of the signal. Suppose however,you sampled only half of the signal can you do something to recover the whole original signal again?

			Follow this procedure


	1. Lets imagine that from our the result of our sampling we measured the positive and the negative part of the signal seperately. [Assume the original signal was centered at zero such that <math> f_{tot}= f_{-}+f_{+} \!</math>		1. Lets imagine that from our the result of our sampling we measured the positive and the negative part of the signal seperately. [Assume the original signal was centered at zero such that <math> f_{tot}= f_{-}+f_{+} \!</math>
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	3. ~~finally~~, to get just one copy of the original signal apply a band pass filter.		3. Finally, to get just one copy of the original signal apply a band pass filter.

Jodi.Hodge at 20:32, 20 December 2009

2009-12-20T20:32:06Z

← Older revision		Revision as of 13:32, 20 December 2009
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	A rule of thumb for proper sampling is to sample range slightly greater than the range of the signal. Suppose however,you sampled only half of the signal can you do something to recover the whole original signal again?		A rule of thumb for proper sampling is to sample range slightly greater than the range of the signal. Suppose however,you sampled only half of the signal can you do something to recover the whole original signal again?

	1. Lets imagine that from our the result of our sampling we measured the positive and the negative part of the signal seperately. [Assume the original signal was centered at zero such that <math> f_{tot}= f_{-}+f_{+}]</math>		1. Lets imagine that from our the result of our sampling we measured the positive and the negative part of the signal seperately. [Assume the original signal was centered at zero such that <math> f_{tot}= f_{-}+f_{+} \!</math>


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	The result of this second sampling are a number of copies of the original signal <math>nf_{tot} </math> .		The result of this second sampling are a number of copies of the original signal <math>nf_{tot} \!</math> .


	3. finally, to get just one copy of the original signal apply a band pass filter.		3. finally, to get just one copy of the original signal apply a band pass filter.

Jodi.Hodge at 20:31, 20 December 2009

2009-12-20T20:31:08Z

← Older revision		Revision as of 13:31, 20 December 2009
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	~~Suppose~~ you ~~sampled only half of the signal can you do something to recover the whole~~ original signal ~~again~~?		Can you retrieve an original signal from a sample of range <math> \frac{1}{2}f>f_s>f \!</math>?



	A rule of thumb for proper sampling is to ~~have a~~ sample range ~~that is~~ slightly greater than the range of the signal. ~~Lets imagine that from our sampling we split the positive and the negative part~~ of the signal~~. So now we have~~ the ~~negative half repeated on the negative axis and the positive half all along the positive axis.~~		A rule of thumb for proper sampling is to sample range slightly greater than the range of the signal. Suppose however,you sampled only half of the signal can you do something to recover the whole original signal again?

	the trick now is to re-sample at a frequency that will place the negative and positive half side by side. ~~When found that~~ frequency ~~use it~~ sample again. ~~After doing~~ this ~~you should have~~ a number of copies		1. Lets imagine that from our the result of our sampling we measured the positive and the negative part of the signal seperately. [Assume the original signal was centered at zero such that <math> f_{tot}= f_{-}+f_{+}]</math>
	of the original signal. To get just one apply a band pass filter.

			So we have repeated on the negative axis the -f and the positive axis +f.

			The trick now is to re-sample at a frequency that will place the negative and positive half side by side.


			2. Find the right frequency and sample again.


			The result of this second sampling are a number of copies of the original signal <math>nf_{tot} </math> .


			3. finally, to get just one copy of the original signal apply a band pass filter.

Jodi.Hodge at 20:55, 19 December 2009

2009-12-19T20:55:58Z

← Older revision		Revision as of 13:55, 19 December 2009
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	[[Jodi Hodge\|Back to home page]]		[[Jodi Hodge\|Back to home page]]

	~~Rule of thumb for sampling is sample slightly greater than the signal. Suppose you sampled only half of the signal can you do something to recover the whole original signal again?~~

	Lets imagine that from our sampling we split the positive and the negative part of the signal. So now we have the negative half repeated on the negative axis and the positive half all along the positive axis.		Suppose you sampled only half of the signal can you do something to recover the whole original signal again?



			A rule of thumb for proper sampling is to have a sample range that is slightly greater than the range of the signal. Lets imagine that from our sampling we split the positive and the negative part of the signal. So now we have the negative half repeated on the negative axis and the positive half all along the positive axis.

	the trick now is to re-sample at a frequency that will place the negative and positive half side by side. When found that frequency use it sample again. After doing this you should have a number of copies		the trick now is to re-sample at a frequency that will place the negative and positive half side by side. When found that frequency use it sample again. After doing this you should have a number of copies
	of the original signal. To get just one apply a band pass filter.		of the original signal. To get just one apply a band pass filter.

Jodi.Hodge at 06:34, 14 December 2009

2009-12-14T06:34:13Z

← Older revision		Revision as of 23:34, 13 December 2009
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	[[Jodi Hodge\|Back to home page]]		[[Jodi Hodge\|Back to home page]]

	Rule of thumb for sampling is sample slightly greater than the signal. ~~But soppose~~ you sampled only half of the signal can you do something to recover the whole original signal ~~agian~~?		Rule of thumb for sampling is sample slightly greater than the signal. Suppose you sampled only half of the signal can you do something to recover the whole original signal again?

	Lets ~~emagine~~ that from our sampling we ~~splitted~~ the positive and the ~~negitave~~ part of the signal. So now we have the ~~negitive~~ half repeated on the ~~negitive~~ axis and the positive half all along the positive axis.		Lets imagine that from our sampling we split the positive and the negative part of the signal. So now we have the negative half repeated on the negative axis and the positive half all along the positive axis.

	the trick now is to ~~resample~~ at a frequency that ~~willplace~~ the negative and positive half side by side. When found that frequency use it sample again. After doing this you should have a number of copies		the trick now is to re-sample at a frequency that will place the negative and positive half side by side. When found that frequency use it sample again. After doing this you should have a number of copies
	of the original signal. To get just one apply a band pass filter.		of the original signal. To get just one apply a band pass filter.

Jodi.Hodge at 22:16, 3 December 2009

2009-12-03T22:16:10Z

← Older revision		Revision as of 15:16, 3 December 2009
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	.
	Rule of thumb for ~~smapling~~ is sample slightly greater than the signal. But soppose you sampled only half of the signal can you do something to recover the whole original signal agian?		Rule of thumb for sampling is sample slightly greater than the signal. But soppose you sampled only half of the signal can you do something to recover the whole original signal agian?

			Lets emagine that from our sampling we splitted the positive and the negitave part of the signal. So now we have the negitive half repeated on the negitive axis and the positive half all along the positive axis.

			the trick now is to resample at a frequency that willplace the negative and positive half side by side. When found that frequency use it sample again. After doing this you should have a number of copies
			of the original signal. To get just one apply a band pass filter.

Jodi.Hodge at 16:44, 3 December 2009

2009-12-03T16:44:04Z

← Older revision		Revision as of 09:44, 3 December 2009
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			.
			Rule of thumb for smapling is sample slightly greater than the signal. But soppose you sampled only half of the signal can you do something to recover the whole original signal agian?

Jodi.Hodge: New page: Back to home page

2009-12-03T15:45:17Z

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