power delay profile
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power delay profile

 
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Frank Benett
Guest





Posted: Mon Dec 05, 2005 11:47 pm    Post subject: power delay profile Reply with quote

Dear All,
I'm given a power delay profile figure, I have to calculate the
corresponding impulse response
values.
How can I do this? Please tell me the steps as I'm doing this problem for
days now..
Thank you
Frank
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Mike Yarwood
Guest





Posted: Mon Dec 05, 2005 11:47 pm    Post subject: Re: power delay profile Reply with quote

"Rick Lyons" <R.Lyons@_BOGUS_ieee.org> wrote in message
news:4394c203.339547062@news.sf.sbcglobal.net...
Quote:
On Mon, 5 Dec 2005 18:47:20 +0100, "Frank Benett" <frank_b@gmail.com
wrote:

Dear All,
I'm given a power delay profile figure, I have to calculate the
corresponding impulse response
values.
How can I do this? Please tell me the steps as I'm doing this problem for
days now..
Thank you
Frank

Hi Frank,
I'll bet someone here can help you if you can just
describe your problem a little more clearly.
I'm not sure what you mean by "power delay profile".
(It sounds like something related to gasoline engines.)

I'm gonna guess that a "power delay profile" is some
sort of graph. If that's true, what are the dimensions
along the horizontal and vertical axes?

The more info you can provide, the better chance the
guys here have in providing some useful guidance for you.

http://people.deas.harvard.edu/~vahid/VT-2004-00306.R1.pdf


Has descriptions of several things that might be called power delay profiles
, does yours correspond to one of these?

If so, it seems that you will need to provide some side information before
you can try to get a statistical description of impulse responses that might
create a similar power delay profile and also fit with your local radio
environment in some sense.

Best of Luck - Mike
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Rick Lyons
Guest





Posted: Tue Dec 06, 2005 1:16 am    Post subject: Re: power delay profile Reply with quote

On Mon, 5 Dec 2005 18:47:20 +0100, "Frank Benett" <frank_b@gmail.com>
wrote:

Quote:
Dear All,
I'm given a power delay profile figure, I have to calculate the
corresponding impulse response
values.
How can I do this? Please tell me the steps as I'm doing this problem for
days now..
Thank you
Frank

Hi Frank,
I'll bet someone here can help you if you can just
describe your problem a little more clearly.
I'm not sure what you mean by "power delay profile".
(It sounds like something related to gasoline engines.)

I'm gonna guess that a "power delay profile" is some
sort of graph. If that's true, what are the dimensions
along the horizontal and vertical axes?

The more info you can provide, the better chance the
guys here have in providing some useful guidance for you.

[-Rick-]
Back to top
Frank Benett
Guest





Posted: Tue Dec 06, 2005 9:15 am    Post subject: Re: power delay profile Reply with quote

Thanks for your answer In power deleay profile I mean the plot of the tap
delay (us) on the x axis,
and the corresponding amplitude (dB) on the y axis..
All of the channel models (rural,hilly..etc) are given in this form, and I
need to calculate the impulse response value (h).
thank you,
regard,
Frank


"Mike Yarwood" <mpyarwood@btopenworld.com> az alábbiakat írta a következő
hírüzenetben: dn2jat$rr2$1@nwrdmz02.dmz.ncs.ea.ibs-infra.bt.com...
Quote:

"Rick Lyons" <R.Lyons@_BOGUS_ieee.org> wrote in message
news:4394c203.339547062@news.sf.sbcglobal.net...
On Mon, 5 Dec 2005 18:47:20 +0100, "Frank Benett" <frank_b@gmail.com
wrote:

Dear All,
I'm given a power delay profile figure, I have to calculate the
corresponding impulse response
values.
How can I do this? Please tell me the steps as I'm doing this problem for
days now..
Thank you
Frank

Hi Frank,
I'll bet someone here can help you if you can just
describe your problem a little more clearly.
I'm not sure what you mean by "power delay profile".
(It sounds like something related to gasoline engines.)

I'm gonna guess that a "power delay profile" is some
sort of graph. If that's true, what are the dimensions
along the horizontal and vertical axes?

The more info you can provide, the better chance the
guys here have in providing some useful guidance for you.

http://people.deas.harvard.edu/~vahid/VT-2004-00306.R1.pdf

Has descriptions of several things that might be called power delay
profiles , does yours correspond to one of these?

If so, it seems that you will need to provide some side information before
you can try to get a statistical description of impulse responses that
might create a similar power delay profile and also fit with your local
radio environment in some sense.

Best of Luck - Mike


Back to top
robert bristow-johnson
Guest





Posted: Tue Dec 06, 2005 9:15 am    Post subject: Re: power delay profile Reply with quote

in article dn3092$mcm$1@namru.matavnet.hu, Frank Benett at frank_b@gmail.com
wrote on 12/05/2005 22:24:

Quote:
Thanks for your answer In power deleay profile I mean the plot of the tap
delay (us) on the x axis,
and the corresponding amplitude (dB) on the y axis..

this is the magnitude of the tap coefficient expressed in dB? why would
anyone do that? to show exponential trend as linear?

Quote:
All of the channel models (rural,hilly..etc) are given in this form, and I
need to calculate the impulse response value (h).

so, after throwing away the sign information of h[n], you want to recover
h[n] including the signs of the negative taps? can we assume that the first
h[n] is > 0? if so, we might be able to infer zero crossings and toggle the
sign every zero crossing.

--

r b-j rbj@audioimagination.com

"Imagination is more important than knowledge."
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Mike Yarwood
Guest





Posted: Tue Dec 06, 2005 4:13 pm    Post subject: Re: power delay profile Reply with quote

"robert bristow-johnson" <rbj@audioimagination.com> wrote in message
news:BFBA750F.CA9D%rbj@audioimagination.com...
Quote:
in article dn3092$mcm$1@namru.matavnet.hu, Frank Benett at
frank_b@gmail.com
wrote on 12/05/2005 22:24:

Thanks for your answer In power deleay profile I mean the plot of the tap
delay (us) on the x axis,
and the corresponding amplitude (dB) on the y axis..

this is the magnitude of the tap coefficient expressed in dB? why would
anyone do that? to show exponential trend as linear?

All of the channel models (rural,hilly..etc) are given in this form, and
I
need to calculate the impulse response value (h).

so, after throwing away the sign information of h[n], you want to recover
h[n] including the signs of the negative taps? can we assume that the
first
h[n] is > 0? if so, we might be able to infer zero crossings and toggle
the
sign every zero crossing.

Hi Frank - have you looked through the models and tutorials at

http://itpp.sourceforge.net/3.8.0/index.html ?

Best of Luck - Mike
Back to top
Mike Yarwood
Guest





Posted: Tue Dec 06, 2005 10:49 pm    Post subject: Re: power delay profile Reply with quote

"Fred Marshall" <fmarshallx@remove_the_x.acm.org> wrote in message
news:FMednWw5yuHuRgjeRVn-sA@centurytel.net...
Quote:

"Mike Yarwood" <mpyarwood@btopenworld.com> wrote in message
news:dn4dbv$64o$1@nwrdmz03.dmz.ncs.ea.ibs-infra.bt.com...


Hi Frank - have you looked through the models and tutorials at
http://itpp.sourceforge.net/3.8.0/index.html ?


Mike,

How should we interpret the claim that IT++ is "wildly used"?

Hah yes! - english ain't their first language so it's a bit of a hoot in

places but interesting for the different ITU and COST models they've
released.

Best of luck - Mike
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Fred Marshall
Guest





Posted: Wed Dec 07, 2005 12:43 am    Post subject: Re: power delay profile Reply with quote

"Mike Yarwood" <mpyarwood@btopenworld.com> wrote in message
news:dn4dbv$64o$1@nwrdmz03.dmz.ncs.ea.ibs-infra.bt.com...
Quote:


Hi Frank - have you looked through the models and tutorials at
http://itpp.sourceforge.net/3.8.0/index.html ?


Mike,

How should we interpret the claim that IT++ is "wildly used"?

Fred
Back to top
Mark
Guest





Posted: Wed Dec 07, 2005 1:16 am    Post subject: Re: power delay profile Reply with quote

this is the magnitude of the tap coefficient expressed in dB? why
would
anyone do that? to show exponential trend as linear?



for the same reasons we typically use dB for SNR etc....

to show a wide dynamic range on a single graph and because the value
relative to the main tap is important..i.e the relative level of the
reflection is important.....

they are typically shown as dB relative to the main tap...



M
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Mark
Guest





Posted: Wed Dec 07, 2005 1:16 am    Post subject: Re: power delay profile Reply with quote

Frank Benett wrote:
Quote:
Thanks for your answer In power deleay profile I mean the plot of the tap
delay (us) on the x axis,
and the corresponding amplitude (dB) on the y axis..
All of the channel models (rural,hilly..etc) are given in this form, and I
need to calculate the impulse response value (h).
thank you,
regard,
Frank



If the tap values you are talking about are in the DFE equalizer, then
I think (I'm not sure) the tap values are simply equal to the channel
impulse response (in dB of course)

In other words, if the DFE tap at 5 us is activated at -10 dB, then
the channel has an echo delayed by 5 us that is -10 dB and this (along
with the main path) is the impulse response.

(It's a little more compoicated for an FFE)

No???

Mark
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Frank Benett
Guest





Posted: Wed Dec 07, 2005 5:11 pm    Post subject: Re: power delay profile Reply with quote

Thanks for all of your answer and effort. I'm wondering why I can't find any
information
about this in the internet at all however, most of the channel models are
given with in this form.
With this power delay profile (PDP) the impulse responses are given with
their delay and the
corresponding amplitude. (i.e : the average received power).. I have looked
the IT++ which
was mentioned, it's a really good project and I find channel models there, I
hope form this I can figure out the
solution, but I'm still curious, if somebody could tell me the mathematics
behind this...
regards,
Frank


"Mark" <makolber@yahoo.com> az alábbiakat írta a következo hírüzenetben:
1133908052.438971.210770@g43g2000cwa.googlegroups.com...
Quote:

Frank Benett wrote:
Thanks for your answer In power deleay profile I mean the plot of the tap
delay (us) on the x axis,
and the corresponding amplitude (dB) on the y axis..
All of the channel models (rural,hilly..etc) are given in this form, and
I
need to calculate the impulse response value (h).
thank you,
regard,
Frank



If the tap values you are talking about are in the DFE equalizer, then
I think (I'm not sure) the tap values are simply equal to the channel
impulse response (in dB of course)

In other words, if the DFE tap at 5 us is activated at -10 dB, then
the channel has an echo delayed by 5 us that is -10 dB and this (along
with the main path) is the impulse response.

(It's a little more compoicated for an FFE)

No???

Mark
Back to top
Fred Marshall
Guest





Posted: Wed Dec 07, 2005 5:16 pm    Post subject: Re: power delay profile Reply with quote

"Frank Benett" <frank_b@gmail.com> wrote in message
news:dn6g0u$bsc$1@namru.matavnet.hu...
Quote:
Thanks for all of your answer and effort. I'm wondering why I can't find
any information
about this in the internet at all however, most of the channel models are
given with in this form.
With this power delay profile (PDP) the impulse responses are given with
their delay and the
corresponding amplitude. (i.e : the average received power).. I have
looked the IT++ which
was mentioned, it's a really good project and I find channel models there,
I hope form this I can figure out the
solution, but I'm still curious, if somebody could tell me the mathematics
behind this...
regards,
Frank

Frank,

I'll go out on a limb because I don't generally work in rf comm's and this
technique is used in that area. Nonetheless, it seems clear enough what the
motivation is:

There is a multipath environment which means that signal arrives at a
receiver perhaps line-of-sight and also by bounce paths and possibly ray
bending in transmission through a variety of materials.

Now, one method for modeling multipath is to use a delay / attenuation value
for each path. When the attenuation values are lined up according to delay
time you have what looks like a FIR filter in continuous time. i.e. the
temporal resulution is infinite. As long as the wavelengths are reasonably
long relative to the path characteristics then this works fine. As the
wavelengths get shorter then the temporal location / delay involved in any
path begins to be difficult to determine relative to a wavelength. Rough
location is still known of course but the ability to resolve delay into
phase is lost.

One method for looking at signals in a situation where phase is
indeterminate is to randomize the phase for each path and look at a large
sample of possible outcomes to yield system statistics. I've done this.

But, this doesn't account for the situation where the reflectors in a path
are distrubuted and perhaps slowly time-varying. If reflectors are
distributed they can be modeled as a cluster of reflectors. With any
wavelength variation there will now be a distribution of apparent reflector
amplitudes as well as phases. With wideband signals it seems one can only
talk about average reflectivity and random phase. It's as though *each*
reflector could be treated as the distributed / stable reflector situation
above and some statistical measure would make sense.

So, while a FIR model might still apply and the statistical method might
still be used, is that necessarily the most convenient method for analysis
purposes? Often it isn't. Looking at a curve might be better.

Given that each path has an average strength then it makes some sense to
measure it in dB and to plot the resulting path / delay structure in dB vs
time.
This is no longer a FIR filter representation although it certainly has some
resemblance.

Make sense?

Fred
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Mike Yarwood
Guest





Posted: Wed Dec 07, 2005 7:58 pm    Post subject: Re: power delay profile Reply with quote

"Mark" <makolber@yahoo.com> wrote in message
news:1133978287.696157.94570@f14g2000cwb.googlegroups.com...
Quote:
yep, the delay profile IS the impulse response...

Mark

so what is the average power delay profile?


Best of Luck - Mike
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Frank Benett
Guest





Posted: Wed Dec 07, 2005 11:43 pm    Post subject: Re: power delay profile Reply with quote

Thanks for your suggestion. If one would use this model in a realistic way,
several factor should be
considered (delay, doppler (fading))..etc). I solved the problem, as I
reduced the complexity of my model:
I consider only the simplest static model which doesn't vary in time. For
this I simply calculated the powers from the
given amplitude which is equivalent to the impulse response h, which i
needed for my matlab simulation!
Frank

"Fred Marshall" <fmarshallx@remove_the_x.acm.org> az alábbiakat írta a
következő hírüzenetben: d5KdnR2_O4rjjQrenZ2dnUVZ_tudnZ2d@centurytel.net...
Quote:

"Frank Benett" <frank_b@gmail.com> wrote in message
news:dn6g0u$bsc$1@namru.matavnet.hu...
Thanks for all of your answer and effort. I'm wondering why I can't find
any information
about this in the internet at all however, most of the channel models are
given with in this form.
With this power delay profile (PDP) the impulse responses are given with
their delay and the
corresponding amplitude. (i.e : the average received power).. I have
looked the IT++ which
was mentioned, it's a really good project and I find channel models
there, I hope form this I can figure out the
solution, but I'm still curious, if somebody could tell me the
mathematics behind this...
regards,
Frank

Frank,

I'll go out on a limb because I don't generally work in rf comm's and this
technique is used in that area. Nonetheless, it seems clear enough what
the motivation is:

There is a multipath environment which means that signal arrives at a
receiver perhaps line-of-sight and also by bounce paths and possibly ray
bending in transmission through a variety of materials.

Now, one method for modeling multipath is to use a delay / attenuation
value for each path. When the attenuation values are lined up according
to delay time you have what looks like a FIR filter in continuous time.
i.e. the temporal resulution is infinite. As long as the wavelengths are
reasonably long relative to the path characteristics then this works fine.
As the wavelengths get shorter then the temporal location / delay involved
in any path begins to be difficult to determine relative to a wavelength.
Rough location is still known of course but the ability to resolve delay
into phase is lost.

One method for looking at signals in a situation where phase is
indeterminate is to randomize the phase for each path and look at a large
sample of possible outcomes to yield system statistics. I've done this.

But, this doesn't account for the situation where the reflectors in a path
are distrubuted and perhaps slowly time-varying. If reflectors are
distributed they can be modeled as a cluster of reflectors. With any
wavelength variation there will now be a distribution of apparent
reflector amplitudes as well as phases. With wideband signals it seems
one can only talk about average reflectivity and random phase. It's as
though *each* reflector could be treated as the distributed / stable
reflector situation above and some statistical measure would make sense.

So, while a FIR model might still apply and the statistical method might
still be used, is that necessarily the most convenient method for analysis
purposes? Often it isn't. Looking at a curve might be better.

Given that each path has an average strength then it makes some sense to
measure it in dB and to plot the resulting path / delay structure in dB vs
time.
This is no longer a FIR filter representation although it certainly has
some resemblance.

Make sense?

Fred


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Mark
Guest





Posted: Wed Dec 07, 2005 11:58 pm    Post subject: Re: power delay profile Reply with quote

yep, the delay profile IS the impulse response...

Mark
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