Can a binary signal be cyclostationary?

On Nov 1, 3:02 pm, "emre" <egu...@ece.neu.edu> wrote:
>
> Hey Julius,
>
> Cyclostationarity does not imply randomness, unlike stationarity. (I just
> learned about this, too.  You can find this with a quick search on the
> web.)  Vladimir's statement only says "a binary signal".

Hmmm.... this is new to me.  Can you share some references, please?
As far as I know, a cyclostationary process is a stationary process
which statistical properties are invariant to time shifts by integer
multiples
of some value T.

So a cyclostationary process has to first be a stationary (wide-sense
or
strict sense) process, hence it has to be random in the first place.

>
> >I think that VLV means nT for n \in \Integers.
>
> The unit step function, u(t) above, satisfies this.  It changes value only
> for n = 0, which is an integer.
>
>  I just don't believe in the correctness of the statement. I am not trying
> to nit-pick.  :-)
>

Understood :-).  I'd love to see your reference on this, though.

Thanks,
Julius

>Hmmm.... this is new to me.  Can you share some references, please?

Julius, here is one:

Two alternative philosophies for estimation of the parameters of
time-series
Gardner, W.A.;
Information Theory, IEEE Transactions on
Volume 37,  Issue 1,  Jan. 1991 Page(s):216 - 218 

Enjoy,  :-)

Emre

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>i would say no..pure binary signal cannot be a cyclostationary
>signal..and regarding detecting a weak signal..i guess Cyclo spectral
>density (csd) and other cyclostationary related methods (cyclic
>autocorrelation) will be applied to find out weak signal in the
>noise..where (as per what you told) modulated signals will peak
>out..leaving out noise..
>
>

I've been reading up on cyclostationary signals recently and decided to
revive this thread. I was interested in the above-mentioned methods for
signal detection:
(a) "Cyclo Spectral Density"
(b) "Cyclic Autocorrelation"

For (a), is this the same as the "Spectral Correlation density" (SCD)? For
(b), what features can be seen from the cyclic autocorrelation that help
pull out the signal? (I assume similar to your ol' fashioned time-based
autocorrelation?  Is there a good reference to describe some of these
known-signal-extraction techniques (i.e. a Gardner reference of sorts)?

Last silly question. Can anyone provide a simple-intuitive explanation of
"cycle frequency"? The texts I found don't give much detail but rather just
SCDs of known plots with it depicted.

Thanks.