On Monday, June 9, 2014 11:30:47 PM UTC+12, runinrainy wrote:
> Hi All,
>
>
>
> I have a question about the cross correlation of signals x(t) and y(t)
>
> which are received from the noisy channel at the receiver. We cross
>
> correlate the signals and see that there is a peak in the plot diagram of
>
> the auto correlation function in time domain.
>
>
>
> Could someone please explain me what is the meaning of this peak value in
>
> the diagram?
>
>
>
> I am basically trying to interpret the plot diagram of the correlation
>
> functions. What do we get from the correlation plots in time domain?
>
> What do we see in the spectrum of the correlation functions?
>
>
>
> Thank you!
>
>
>
>
>
> _____________________________
>
> Posted through www.DSPRelated.com
Suppose you had two identical signals, then you would get a peak at a delay of zero. now time-delay them and the delay in the correlation will increase to indicate that delay. (if the signals are white that is).
Reply by Eric Jacobsen●June 9, 20142014-06-09
On Mon, 09 Jun 2014 06:30:47 -0500, "runinrainy" <100271@dsprelated>
wrote:
>Hi All,
>
>I have a question about the cross correlation of signals x(t) and y(t)
>which are received from the noisy channel at the receiver. We cross
>correlate the signals and see that there is a peak in the plot diagram of
>the auto correlation function in time domain.
>
>Could someone please explain me what is the meaning of this peak value in
>the diagram?
>
>I am basically trying to interpret the plot diagram of the correlation
>functions. What do we get from the correlation plots in time domain?
>What do we see in the spectrum of the correlation functions?
>
>Thank you!
A peak in the cross-correlation between x(t) and y(t) indicates a
similarity or "coherence" or correlation between the two signals at
the time alignment indicated by the location of the peak of the
cross-correlation output.
e.g., if the same signal is received at two noisy recievers, one would
expect a high cross-correlation when time-aligned to reflect the
presence of the same signal in both receivers.
The shapes of the cross correlation output depends on the input
signals and their own correlation properties. e.g., two sine waves of
the same frequency will have periodic correlation.
Eric Jacobsen
Anchor Hill Communications
http://www.anchorhill.com
Reply by robert bristow-johnson●June 9, 20142014-06-09
On 6/9/14 7:30 AM, runinrainy wrote:
>
> I have a question about the cross correlation of signals x(t) and y(t)
> which are received from the noisy channel at the receiver. We cross
> correlate the signals and see that there is a peak in the plot diagram of
> the auto correlation function in time domain.
>
cross-correlation or auto-correlation?
maybe you want to be more explicit what x(t) and y(t) are and the
definition of your correlation function.
--
r b-j rbj@audioimagination.com
"Imagination is more important than knowledge."
Reply by runinrainy●June 9, 20142014-06-09
Hi All,
I have a question about the cross correlation of signals x(t) and y(t)
which are received from the noisy channel at the receiver. We cross
correlate the signals and see that there is a peak in the plot diagram of
the auto correlation function in time domain.
Could someone please explain me what is the meaning of this peak value in
the diagram?
I am basically trying to interpret the plot diagram of the correlation
functions. What do we get from the correlation plots in time domain?
What do we see in the spectrum of the correlation functions?
Thank you!
_____________________________
Posted through www.DSPRelated.com