Statistical analysis of a two-layer backpropagation algorithm used for modeling nonlinear memoryless channels: the single neuron case

IEEE Transactions on Signal Processing

Volumn 45, Issue 3, 1997, Pages 747-756

  Bershad, Neil J ^a   Ibnkahla, Mohamed ^b   Castanie, Francis ^b  

^a University of California at Irvine   (United States)

^b UNIVERSITÉ DE TOULOUSE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BACKPROPAGATION; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; DATA STRUCTURES; LEARNING SYSTEMS; MATHEMATICAL MODELS; MONTE CARLO METHODS; STATISTICAL METHODS;

MEAN SQUARE ERROR; SIGMOIDAL ACTIVATION FUNCTION;

NEURAL NETWORKS;

EID: 0031096514     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.558493     Document Type: Article

References (16)

1. S. Benedetto, E. Beglieri, and V. Castellani, Digital Transmission Theory. Englewood Cliffs, NJ: Prentice-Hall, 1987.
2. A. Berman and C. Mahle, "Nonlinear phase shift in traveling-wave tubes as applied to multiple access communications channels," IEEE Trans. Commun., vol. COMM-18, no. 1, Feb. 1970.
3. N. J. Bershad, J. J. Shynk, and P. L. Feintuch, "Statistical analysis of the single-layer back propagation algorithm: Part I," IEEE Trans. Signal Processing, vol. 41, pp. 573-582, Feb. 1993.
4. _, "Statistical analysis of the single-layer back propagation algorithm: Part II," IEEE Trans. Signal Processing, vol. 41, pp. 583-590, Feb. 1993.
5. P. Hetrakul and D. Taylor, "The effects of transponder nonlinearity on binary CPSK signal transmission," IEEE Trans. Commun., vol. COMM29, pp. 546-553, May 1976.
6. K. Hornik, M. Stinchombe, and H. White, "Multilayer feedforward networks are universal approximators," Neural Networks, vol. 2, pp. 359-366, 1989.
7. M. Ibnkahla, "Reseaux de neurones: Nouvelles structures et applications aux communications numérique par satellite," Ph.D. dissertation, National Polytechniques Institute of Toulouse, France, 1996.
8. M. Ibnkahla, J. Sombrin, F. Castanie, and N. J. Bershad, "Neural networks for modeling nonlinear memoryless communications channels," IEEE Trans. Commun., to be published.
9. A. Kaye, D. George, and M. Eric, "Analysis and compensation of bandpass nonlinearities for communications," IEEE Trans. Commun., vol. COMM-20, pp. 965-972, Oct. 1972.
10. R. P. Lippmann, "An introduction to computing with neural nets," IEEE Acoust., Speech, Signal Processing Mag., pp. 4-22, Apr. 1987.
11. R. Price, "A useful theorem for nonlinear devices having Gaussian inputs," IRE Trans. Inform. Theory, vol. IT-4, pp. 69-72, June 1958.
12. D. E. Rumelhart, G. E. Hinton, and R. J. Williams, "Learning internal representations by error propagation," in Parallel Distributed Processing, D. E. Rumelhart and J. L. McClelland, Eds. Cambridge, MA: MIT Press, 1986, vol. 1, pp. 318-362.
13. A. Saleh, "Frequency-independent and frequency dependent nonlinear models of TWT amplifiers," IEEE Trans. Commun., vol. COMM-29, Nov. 1981.
14. O. Shimbo and B. Pontano, "A general theory for intelligible crosstalk between frequency-division multiplexed angle-modulated carriers," IEEE Trans. Commun., vol. COMM-24, pp. 999-1008, Sept. 1976.
15. J. J. Shynk and N. J. Bershad, "Steady-state analysis of a single-layer perceptron based on a system identification model with bias terms," IEEE Trans. Circuits Syst., vol. 38, pp. 1030-1042, Sept. 1991.
16. M. Thomas, M. Weidner, and S. Durrani, "Digital amplitude-phase keying with M-ary alphabets," IEEE Trans. Commun., vol. COMM-22, pp. 168-180, Feb. 1974.