Stochastic resonance in parallel concatenated turbo code decoding

In an array of threshold devices, we examine the effect of noise in improving performance of turbo code decoding. Such a phenomenon of noise-enhanced effect is termed stochastic resonance (SR). When signal is subthreshold, SR is observed by using Gaussian noise during iterative decoding. That is, the minimal bit error ratio (BER) is achieved at some non-zero noise intensity level. Besides, the larger the number of threshold devices is, the more remarkable the SR effect becomes. Especially when noise intensity is nearly optimal, BER approximates to zero after a few decoding iterations. Moreover, when Gaussian mixture noise is utilized, suprathreshold stochastic resonance (SSR) occurs in turbo decoding. These results show the beneficial effect of noise in channel coding and decoding.

[1]  Peter Jung,et al.  Application of turbo-codes to a CDMA mobile radio system using joint detection and antenna diversity , 1994, Proceedings of IEEE Vehicular Technology Conference (VTC).

[2]  Pramod K. Varshney,et al.  Theory of the Stochastic Resonance Effect in Signal Detection—Part II: Variable Detectors , 2007, IEEE Transactions on Signal Processing.

[3]  N. Stocks,et al.  Suprathreshold stochastic resonance in multilevel threshold systems , 2000, Physical review letters.

[4]  Mark D. McDonnell,et al.  M-ary suprathreshold stochastic resonance: Generalization and scaling beyond binary threshold nonlinearities , 2014 .

[5]  Lenan Wu,et al.  STOCHASTIC RESONANCE AND NOISE-ENHANCED FISHER INFORMATION , 2005 .

[6]  J. S. Hunter,et al.  Statistics for Experimenters: Design, Innovation, and Discovery , 2006 .

[7]  David Tse,et al.  Fundamentals of Wireless Communication , 2005 .

[8]  Derek Abbott,et al.  Stochastic Resonance with Colored Noise for Neural Signal Detection , 2014, PloS one.

[9]  A. Glavieux,et al.  Near Shannon limit error-correcting coding and decoding: Turbo-codes. 1 , 1993, Proceedings of ICC '93 - IEEE International Conference on Communications.

[10]  Pierre-Olivier Amblard,et al.  Stochastic resonance in locally optimal detectors , 2003, IEEE Trans. Signal Process..

[11]  Gregoire Nicolis,et al.  Stochastic resonance , 2007, Scholarpedia.

[12]  Yukihiro Tadokoro,et al.  Stochastic-Resonance Based Iterative Detection for Serially-Concatenated Turbo Codes , 2012, IEEE Signal Processing Letters.

[13]  B. L. Yeap,et al.  Turbo Coding, Turbo Equalisation and Space-Time Coding , 2002 .

[14]  Jin Liu,et al.  A Novel Parameter-Tuned Stochastic Resonator for Binary PAM Signal Processing at Low SNR , 2014, IEEE Communications Letters.

[15]  Lajos Hanzo,et al.  Turbo Decoding and Detection for Wireless Applications , 2007, Proceedings of the IEEE.

[16]  Lenan Wu,et al.  Nonlinear signal detection from an array of threshold devices for non-Gaussian noise , 2007, Digit. Signal Process..

[17]  S. Kay,et al.  Can detectability be improved by adding noise? , 2000, IEEE Signal Processing Letters.

[18]  Xiaoping Hu,et al.  Noise enhanced binary hypothesis-testing in a new framework , 2015, Digit. Signal Process..

[19]  Derek Abbott,et al.  Encoding efficiency of suprathreshold stochastic resonance on stimulus-specific information , 2016 .

[20]  Sinan Gezici,et al.  Noise benefits in joint detection and estimation problems , 2016, Signal Process..

[21]  Shu Lin,et al.  Error Control Coding , 2004 .

[22]  T. H. Liew,et al.  Turbo Coding, Turbo Equalisation and Space-Time Coding: EXIT-Chart-Aided Near-Capacity Designs for Wireless Channels , 2011 .

[23]  Bart Kosko,et al.  Adaptive stochastic resonance in noisy neurons based on mutual information , 2004, IEEE Transactions on Neural Networks.

[24]  N G Stocks,et al.  Information transmission in parallel threshold arrays: suprathreshold stochastic resonance. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  Derek Abbott,et al.  Binary modulated signal detection in a bistable receiver with stochastic resonance , 2007 .

[26]  Mark D. McDonnell,et al.  Stochastic pooling networks , 2009, 0901.3644.

[27]  C. Pearce,et al.  Stochastic Resonance: From Suprathreshold Stochastic Resonance to Stochastic Signal Quantization , 2008 .