Spatial and temporal dynamics of analog image processing neuro chips

There are two dynamics issues in analog image processing neuro chips: (i) The temporal dynamics issue due to the parasitic capacitors in a CMOS chip, and (ii) The spatial dynamics issue due to the regular array of processing elements in a chip. This paper extends the results of Matsumoto et al. (1992) to 2D case and sharpens them in the following sense: (i) 2D spatial stability definition which is consistent with the previous 1D case is given. (ii) Explicit spatial and temporal stability conditions are given. (iii) Explicit spatial frequency and impulse responses are given. (iv) An explicit formula for time constants is given. (v) Several relationships between the spatial and temporal dynamics are given.