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Re: [Discuss-gnuradio] Polyphase Clock Synchronization


From: Nemanja Savic
Subject: Re: [Discuss-gnuradio] Polyphase Clock Synchronization
Date: Tue, 21 May 2013 13:05:50 +0200

Hi all,

thank you Tom for that fast response.
I would like to clarify some additional stuff:
I want like first to design signal shaping filter. Can you give me some guidlines, like 1.5 of the symbol rate or similar. I am currently playing with the filter design tool, quite nice tool, but can't do anything cause I don't know the optimal signal shape that I need. By the way, when designing root raised cosine filter with filter design tool, there are two parameters among others: sampling frequency (which is obvious) and symbol rate in [sps]. Since I use sampling frequency of 100k, and want to shape pulses of 19.2k, should I use value for symbol rate of 5~6, or 19200. In first case I assume that symbol rate [sps] means how many samples are in one symbol, which is 100k/19.2k, and in second case I assume sps should means symbols per second. In the first case I am not able to see impulse reposnse of the filter (time doain) and in second case I very nice sinc curve.
I suppose after managing to design correct filter I can proceed with tuning loop for synchronization.

Best regards and thanks
Nemanja


On Sun, May 19, 2013 at 12:19 PM, Tom Rondeau <address@hidden> wrote:
On Fri, May 17, 2013 at 12:37 PM, Nemanja Savic <address@hidden> wrote:
> Hi all guys again,
>
> After few posts and numerous tries to set up M&M sync block, I finally want
> to give up, and before I start with some kind of ad-hoc approach I want to
> ask for help to setup polyphase Clock Synchronizator.
>
> This block is very well documented (by the way, it looks like description of
> the block is shown twice in the property window, at least in my computer),
> but since I am not that much in polyphase filtering, i have following
> doubts:

Good questions.

> - As it is stated in documentation, there are two filterbanks, one for
> signal shaping and one for filtering signal derivative. My question is what
> is the meaning of TAPS property (taps of which filter?)?

Taps are the taps of the prototype filter. Since the other filter is
the derivative filter, you give the block a set of taps (think of it
as the upsampled RRC filter coefficients), and the block will generate
the derivative filter by taking the derivative of the taps you provide
it.

> - What is filter size? (Number of paralel sections?)

Each filter represents a different phase. The algorithm tries to drive
the derivative to zero, which will occur when you have the correct
filter phase. So the number of taps gives you the quantization of the
phase value. Think 2pi/N. You reduce ISI and timing errors by using a
larger number of filters as the expense of complexity and memory.
Generally, 32 should be enough and the get reduced gains by going
higher (unless you have some ridiculous dynamic range).

There is some math you can do to calculate how much error you'd
introduced for N filters and samples with B bits/sample, but I don't
know it off the top of my head (nor want to derive it this morning).

This would be a good topic to put up on the signal processing wiki page:
http://gnuradio.org/redmine/projects/gnuradio/wiki/signalprocessing

> - In which way to setup alpha and beta for best performances (based on my
> symbol rate or whatever)?

Unknown... small. Usually set beta ~= (alpha^2)/4. You'll just have to
play with this.

The new block takes just a loop bandwidth parameter, which is usually
some small increment around the unit circle. I tend to set it at
2pi/100. See this blog for more that:

http://www.trondeau.com/blog/2011/8/13/control-loop-gain-values.html

> As for reminding, I have 19.2ksps baseband signal, sampled with 100ksps.
>
> Thank you in advance
>
> --
> Nemanja Savić

Tom



--
Nemanja Savić

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