how to find the level crossing rate?
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how to find the level crossing rate?

 
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kiki
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Posted: Sun Dec 26, 2004 7:57 am    Post subject: how to find the level crossing rate? Reply with quote

Hi all,

I have a stationary random process with zero mean x(t), let's define the
level crossing rate to be

LCR=lim E{Na(T)}/T as T -> 0...

where Na(T) is the number of the level crossings in the time interval T...
i.e. the times that the random process x(t) passing through the level
x(t)=a...

How should I find LCR analytically? It may be difficult... are there any
well-known results for simple random processes, such as ON-OFF process, or
Gaussian, etc?

Any ideas?

Thanks a lot!
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ted
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Posted: Sun Dec 26, 2004 7:57 am    Post subject: Re: how to find the level crossing rate? Reply with quote

"kiki" <lunaliu3@yahoo.com> wrote in message
news:cqlmuo$ett$1@news.Stanford.EDU...
Quote:
Hi all,

I have a stationary random process with zero mean x(t), let's define the
level crossing rate to be

LCR=lim E{Na(T)}/T as T -> 0...

where Na(T) is the number of the level crossings in the time interval T...
i.e. the times that the random process x(t) passing through the level
x(t)=a...

How should I find LCR analytically? It may be difficult... are there any
well-known results for simple random processes, such as ON-OFF process, or
Gaussian, etc?

Any ideas?

Thanks a lot!


It is out there, usually related to a bandwidth. gaussian. I have a book
that has it and derived, somewhere, think Microwave is in the title.
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Tim Wescott
Guest





Posted: Sun Dec 26, 2004 9:34 pm    Post subject: Re: how to find the level crossing rate? Reply with quote

kiki wrote:

Quote:
Hi all,

I have a stationary random process with zero mean x(t), let's define the
level crossing rate to be

LCR=lim E{Na(T)}/T as T -> 0...

where Na(T) is the number of the level crossings in the time interval T...
i.e. the times that the random process x(t) passing through the level
x(t)=a...

How should I find LCR analytically? It may be difficult... are there any
well-known results for simple random processes, such as ON-OFF process, or
Gaussian, etc?

Any ideas?

Thanks a lot!


Kiki:


Ask yourself what the level crossing rate for Gaussian white noise would
be. Now try uniformly distributed white noise. Now binary white noise
that only occurs at -1 and 1. Now ask yourself if the distribution of
the noise is the important characteristic here.

--

Tim Wescott
Wescott Design Services
http://www.wescottdesign.com
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