Timing, Carrier, and Frame Synchronization of Burst-Mode CPM

In this paper, we propose a complete synchronization algorithm for continuous phase modulation (CPM) signals in burst-mode transmission over additive white Gaussian noise (AWGN) channels. The timing and carrier recovery are performed through a data-aided (DA) maximum likelihood algorithm, which jointly estimates symbol timing, carrier phase, and frequency offsets based on an optimized synchronization preamble. Our algorithm estimates the frequency offset via a one-dimensional grid search, after which symbol timing and carrier phase are computed via simple closed-form expressions. The mean-square error (MSE) of the algorithm's estimates reveals that it performs very close to the theoretical Cramer-Rao bound (CRB) for various CPMs at signal-to-noise ratios (SNRs) as low as 0 dB. Furthermore, we present a frame synchronization algorithm that detects the arrival of bursts and estimates the start-of-signal. We simulate the performance of the frame synchronization algorithm along with the timing and carrier recovery algorithm. The bit error rate results demonstrate near ideal synchronization performance for low SNRs and short preambles.

[1]  Erik Perrins,et al.  Training sequence design for data-aided synchronization of burst-mode CPM , 2012, 2012 IEEE Global Communications Conference (GLOBECOM).

[2]  J.E. Mazo,et al.  Digital communications , 1985, Proceedings of the IEEE.

[3]  Erik Perrins,et al.  The Cramer-Rao Bound for Training Sequence Design for Burst-Mode CPM , 2013, IEEE Transactions on Communications.

[4]  T. Aulin,et al.  Continuous Phase Modulation - Part I: Full Response Signaling , 1981, IEEE Transactions on Communications.

[5]  Gordon L. Stüber,et al.  Robust time and phase synchronization for continuous phase modulation , 2006, IEEE Transactions on Communications.

[6]  James V. Krogmeier,et al.  Optimum and suboptimum frame synchronization for pilot-symbol-assisted modulation , 1997, IEEE Trans. Commun..

[7]  Norman C. Beaulieu,et al.  Accurate closed-form approximations to Ricean sum distributions and densities , 2005, IEEE Communications Letters.

[8]  Umberto Mengali,et al.  Symbol timing estimation with CPM modulation , 1996, IEEE Trans. Commun..

[9]  H. Meyr,et al.  A fully digital feedforward MSK demodulator with joint frequency offset and symbol timing estimation for burst mode mobile radio , 1993 .

[10]  Michele Morelli,et al.  Feedforward joint phase and timing estimation for MSK - type signals , 2001, Eur. Trans. Telecommun..

[11]  Norman C. Beaulieu,et al.  Accurate simple closed-form approximations to Rayleigh sum distributions and densities , 2005, IEEE Communications Letters.

[12]  P. Takis Mathiopoulos,et al.  Frame synchronization in frequency uncertainty , 2010, IEEE Transactions on Communications.

[13]  Umberto Mengali,et al.  Feedforward carrier frequency estimation with MSK-type signals , 1998, IEEE Communications Letters.

[14]  Yong Hoon Lee,et al.  Frame synchronization in the presence of frequency offset , 2002, IEEE Trans. Commun..

[15]  Weilin Liu,et al.  Data-aided synchronization of coherent CPM-receivers , 1992, IEEE Trans. Commun..

[16]  Mark Geoghegan.  Challenges of Implementing an iNET Transceiver for the Radio Access Network Standard (RANS) , 2011 .

[17]  U. Mengali,et al.  Digital carrier frequency estimation for multilevel CPM signals , 1995, Proceedings IEEE International Conference on Communications ICC '95.

[18]  Weiyi Tang,et al.  ML estimation of symbol timing and carrier phase for CPM in Walsh signal space , 2001, IEEE Trans. Commun..

[19]  Chia-Chi Huang,et al.  A fully digital noncoherent and coherent GMSK receiver architecture with joint symbol timing error and frequency offset estimation , 2000, IEEE Trans. Veh. Technol..

[20]  Pascal Bianchi,et al.  On the blind estimation of the parameters of continuous phase modulated signals , 2005, IEEE Journal on Selected Areas in Communications.

[21]  S. Kay.  Fundamentals of statistical signal processing: estimation theory , 1993 .

[22]  Erik Perrins,et al.  Maximum likelihood synchronization of burst-mode CPM , 2013, 2013 IEEE Global Communications Conference (GLOBECOM).

[23]  Tor Aulin,et al.  Digital Phase Modulation , 1986, Applications of Communications Theory.

[24]  Umberto Mengali,et al.  Synchronization Techniques for Digital Receivers , 1997, Applications of Communications Theory.

[25]  Marek Gasior,et al.  Improving FFT Frequency Measurement Resolution by Parabolic and Gaussian Spectrum Interpolation , 2004 .

[26]  Umberto Mengali,et al.  Joint phase and timing recovery with CPM signals , 1997, IEEE Trans. Commun..

[27]  M. P. Fitz.  Planar filtered techniques for burst mode carrier synchronization , 1991, IEEE Global Telecommunications Conference GLOBECOM '91: Countdown to the New Millennium. Conference Record.

[28]  Minjian Zhao,et al.  Data Aided Symbol Timing Estimation in Space-Time Coded CPM Systems over Rayleigh Fading Channels , 2007, 2007 IEEE 66th Vehicular Technology Conference.