CRB derivation and new Code-Aided timing recovery technique for QAM modulated signals

In this paper, we propose a maximum likelihood based Code-Aided (CA) timing recovery algorithm for square-QAM modulated signals. We also theoretically derive the analytical expression of the CA Crammaximum likelihood based Code-Aided (CA) timing recovery algorithmer-Rao Bound for time delay estimation. Our simulations show that the proposed CA approach realizes a performance equivalent to the Data-Aided (DA) approach over a large interval of signal to noise ratio (SNR) values.

[1]  Luc Vandendorpe,et al.  Special Issue on Turbo-Information Processing: Algorithms, Implementations & Applications , 2007 .

[2]  Baoyu Zheng,et al.  Cross-Layer Rate Allocation for Multimedia Applications in Pervasive Computing Environment , 2008, IEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference.

[3]  K. Mueller,et al.  Timing Recovery in Digital Synchronous Data Receivers , 1976, IEEE Trans. Commun..

[4]  Benoit Geller,et al.  On the Hybrid Cramér Rao Bound and Its Application to Dynamical Phase Estimation , 2008, IEEE Signal Processing Letters.

[5]  Benoit Geller,et al.  A soft maximum likelihood technique for time delay recovery , 2014, Fourth International Conference on Communications and Networking, ComNet-2014.

[6]  Marco Luise,et al.  Carrier phase recovery for turbo-coded linear modulations , 2002, 2002 IEEE International Conference on Communications. Conference Proceedings. ICC 2002 (Cat. No.02CH37333).

[7]  S. McLaughlin,et al.  Joint timing recovery and turbo equalization for coded partial response channels , 2002 .

[8]  Floyd M. Gardner,et al.  A BPSK/QPSK Timing-Error Detector for Sampled Receivers , 1986, IEEE Trans. Commun..

[9]  Luc Vandendorpe,et al.  Turbo-Information Processing: Algorithms, Implementations & Applications , 2007 .

[10]  Benoit Geller,et al.  Near Optimum Low Complexity Smoothing Loops for Dynamical Phase Estimation—Application to BPSK Modulated Signals , 2009, IEEE Transactions on Signal Processing.

[11]  J. Barbot,et al.  Analytic and Asymptotic Analysis of Bayesian CramÉr–Rao Bound for Dynamical Phase Offset Estimation , 2008, IEEE Transactions on Signal Processing.

[12]  Alain Glavieux,et al.  Reflections on the Prize Paper : "Near optimum error-correcting coding and decoding: turbo codes" , 1998 .

[13]  Branka Vucetic,et al.  Turbo Codes: Principles and Applications , 2000 .

[14]  Martin Oerder.  Derivation of Gardner's Timing-Error Detector from the Maximum Likelihood Principle , 1987, IEEE Trans. Commun..

[15]  Benoit Geller,et al.  Block turbo codes for multicarrier local loop transmission , 2002, Proceedings IEEE 56th Vehicular Technology Conference.

[16]  Alister G. Burr,et al.  APPA symbol timing recovery scheme for turbo codes , 2002, The 13th IEEE International Symposium on Personal, Indoor and Mobile Radio Communications.

[17]  Luc Vandendorpe,et al.  Turbo synchronization: an EM algorithm interpretation , 2003, IEEE International Conference on Communications, 2003. ICC '03..

[18]  Sofiène Affes,et al.  Closed-Form Expressions for the Exact Cramér-Rao Bounds of Timing Recovery Estimators From BPSK, MSK and Square-QAM Transmissions , 2011, IEEE Trans. Signal Process..

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

[20]  Sofiène Affes,et al.  Closed-Form CRLBs for SNR Estimation From Turbo-Coded BPSK-, MSK-, and Square-QAM-Modulated Signals , 2014, IEEE Transactions on Signal Processing.

[21]  J.R. Barry,et al.  Iterative timing recovery , 2004, IEEE Signal Processing Magazine.

[22]  Sofiène Affes,et al.  Closed-form CRLBs for SNR estimation from turbo-coded square-QAM-modulated signals , 2014, 2014 IEEE Global Communications Conference.

[23]  Sailes K. Sengijpta.  Fundamentals of Statistical Signal Processing: Estimation Theory , 1995 .

[24]  Brossier Jean-Marc,et al.  Self-adaptive PLL for general QAM constellations , 2002 .

[25]  Benoit Geller,et al.  A low complexity block turbo decoder architecture - [transactions letters] , 2008, IEEE Transactions on Communications.

[26]  Umberto Mengali,et al.  The modified Cramer-Rao bound and its application to synchronization problems , 1994, IEEE Trans. Commun..

[27]  Benoit Geller,et al.  Equalizer for video rate transmission in multipath underwater communications , 1996 .

[28]  Heinrich Meyr,et al.  Digital communication receivers , 1997 .

[29]  Robert G. Gallager,et al.  Low-density parity-check codes , 1962, IRE Trans. Inf. Theory.

[30]  Benoit Geller,et al.  Bayesian and Hybrid Cramér–Rao Bounds for the Carrier Recovery Under Dynamic Phase Uncertain Channels , 2011, IEEE Transactions on Signal Processing.