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Re: [Discuss-gnuradio] Why not use matched filter in GMSK demodulator


From: Achilleas Anastasopoulos
Subject: Re: [Discuss-gnuradio] Why not use matched filter in GMSK demodulator
Date: Thu, 30 Jul 2009 15:07:40 -0400
User-agent: Thunderbird 2.0.0.22 (Windows/20090605)


There is no reason why you should not use a matched filter.
However make sure you understand that a symbol-spaced MF
generates sufficient statistics only for detection,
ie, not for (epoch) synchronization.
Also note that in the case of GMSK (CPM in general) a bank of MFs will generate colored noise. Another appropriate implementation of a front end projects the entire oversampled signal to a set of orthonormal basis functions which has the advantage of generating white noise samples for (simpler) further processing.

Take a look at how a generic receiver for an arbitrary CPM
is developed in

http://gnuradio.org/svn/gnuradio/trunk/gr-trellis/src/examples/test_cpm.py

There, the signal is first projected to its basis functions (which is calculated by a helper python application in "fsm_utils.py") to generate a sufficient statistic which is then used in conjunction with trellis decoding to do soft-decision sequence detection. What is missing though is epoch and phase syncronization (to do at some point...)

Achilleas




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