From: cfy30 on
Hi,

If x and y and orthogonal, is it true that corr(x,y)=0? How can this be
proved?


cfy30
From: Steve Pope on
cfy30 <cfy30(a)n_o_s_p_a_m.yahoo.com> wrote:

>If x and y and orthogonal, is it true that corr(x,y)=0? How can this be
>proved?

Um, by definition?



S.
From: Les Cargill on
cfy30 wrote:
> Hi,
>
> If x and y and orthogonal, is it true that corr(x,y)=0? How can this be
> proved?
>
>
> cfy30

Definitionally:

http://www-mobile.ecs.soton.ac.uk/bjc97r/pnseq/node5.html

"Orthogonal codes have zero cross-correlation."

http://www.thefreedictionary.com/orthogonal
....
"b. (of a pair of functions) having a defined product equal to zero"

--
Les Cargill

From: cfy30 on
If x = cos(omega*t) and y = sin(omega*t). x and y are orthogonal but it
seems to me they are correlated because their difference is only 90degree!
What is not right?


cfy30

>cfy30 wrote:
>> Hi,
>>
>> If x and y and orthogonal, is it true that corr(x,y)=0? How can this be
>> proved?
>>
>>
>> cfy30
>
>Definitionally:
>
>http://www-mobile.ecs.soton.ac.uk/bjc97r/pnseq/node5.html
>
>"Orthogonal codes have zero cross-correlation."
>
>http://www.thefreedictionary.com/orthogonal
>...
>"b. (of a pair of functions) having a defined product equal to zero"
>
>--
>Les Cargill
>
>
From: Jerry Avins on
On 5/30/2010 2:07 PM, cfy30 wrote:
> If x = cos(omega*t) and y = sin(omega*t). x and y are orthogonal but it
> seems to me they are correlated because their difference is only 90degree!
> What is not right?
>
>
> cfy30
>
>> cfy30 wrote:
>>> Hi,
>>>
>>> If x and y and orthogonal, is it true that corr(x,y)=0? How can this be
>>> proved?
>>>
>>>
>>> cfy30
>>
>> Definitionally:
>>
>> http://www-mobile.ecs.soton.ac.uk/bjc97r/pnseq/node5.html
>>
>> "Orthogonal codes have zero cross-correlation."
>>
>> http://www.thefreedictionary.com/orthogonal
>> ...
>> "b. (of a pair of functions) having a defined product equal to zero"

What do you understand the definition of of "correlated" to be?
cos(x) = sqrt(1 - sin^2(x)), but they are uncorrelated because
T
integral(sin(x) * cos(x))dx is zero when T -> infinity or T = k periods.
x = 0
k is an integer

Jerry
--
Engineering is the art of making what you want from things you can get.
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