Distortion in analog VLSI networks for image filtering

We analyze distortion in analog VLSI arrays for linear image filtering due to component mismatch and nonlinearity. The analysis can be used to evaluate different circuit architectures implementing the same computation for both one-dimensional (1-D) and two-dimensional (2-D) rectangularly and hexagonally sampled arrays. In addition, it can determine which elements within a given architecture are most critical for accurate computation of the output. Based upon the concept of equivalent input sources, it offers both mathematical and intuitive explanations of the responses of the networks to mismatch and nonlinearity.

[1]  Bertram E. Shi,et al.  Robustness of CNN implementations for Gabor-type filtering , 1996, Proceedings of APCCAS'96 - Asia Pacific Conference on Circuits and Systems.

[2]  Leon O. Chua,et al.  Methods for image processing and pattern formation in Cellular Neural Networks: a tutorial , 1995 .

[3]  Christof Koch,et al.  Vision Chips: Implementing Vision Algorithms with Analog VLSI Circuits , 1994 .

[4]  Misha Mahowald,et al.  A silicon model of early visual processing , 1993, Neural Networks.

[5]  Bertram E. Shi,et al.  Gabor-type filtering in space and time with cellular neural networks , 1998 .

[6]  R.M. Mersereau,et al.  The processing of hexagonally sampled two-dimensional signals , 1979, Proceedings of the IEEE.

[7]  W.A. Lane,et al.  Statistical Modeling and Simulation for DAC Design , 1986, ESSCIRC '86: Twelfth European Solid-State Circuits Conference.

[8]  M.J.M. Pelgrom,et al.  Matching properties of MOS transistors , 1989 .

[9]  J. Brant Arseneau,et al.  VLSI and neural systems , 1990 .

[10]  Leon O. Chua,et al.  Cellular neural networks: applications , 1988 .

[11]  Lin-Bao Yang,et al.  Cellular neural networks: theory , 1988 .

[12]  Bertram E. Shi,et al.  Nonlinear distortion in analog networks for image processing , 1997, Proceedings of 1997 IEEE International Symposium on Circuits and Systems. Circuits and Systems in the Information Age ISCAS '97.

[13]  Robert G. Meyer,et al.  Analysis and Design of Analog Integrated Circuits , 1993 .

[14]  Bertram E. Shi A one-dimensional CMOS focal plane array for Gabor-type image filtering , 1999 .

[15]  L. J. Cutrona,et al.  The Processing of Hexagonally Sampled Two-Dimensional Signals , 1979 .

[16]  Carver Mead,et al.  Analog VLSI and neural systems , 1989 .

[17]  Mohammed Ismail,et al.  Survey of Statistical Modeling and Simulation Techniques , 1993 .

[18]  Tamás Roska,et al.  The CNN universal machine: an analogic array computer , 1993 .

[19]  Frank S. Werblin,et al.  CNN-based retinal model uncovers a new form of edge enhancement in biological visual processing , 1996, 1996 Fourth IEEE International Workshop on Cellular Neural Networks and their Applications Proceedings (CNNA-96).

[20]  Patrick K. Simpson Neural Networks Applications , 1997 .

[21]  Leon O. Chua,et al.  Resistive grid image filtering: input/output analysis via the CNN framework , 1992 .

[22]  A.S. Sedra,et al.  Analog MOS integrated circuits for signal processing , 1987, Proceedings of the IEEE.

[23]  Leon O. Chua,et al.  The CNN paradigm , 1993 .

[24]  Franco Maloberti Layout of analog and mixed analog-digital circuits , 1994 .