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Analog VLSI Neural Circuits CS599 – computational architectures in biological vision Charge-Coupled Devices Uniform array of sensors Very little on-board processing Very inexpensive CMOS devices More onboard processing Even cheaper! Example: ICM532B from www.icmedia.com: single-chip solution includes photoreceptor array, various gain control and color adjustment mechanisms, image compression and USB interface. Just add a lens and provide power! The challenge Digital processing is power hungry Analog processing is much more energy efficient But … so much variability in the gain of transistors obtained when fabricating highly integrated (VLSI) chips that analog computations seem impossible: nearly each analog amplifier on the chip should be associated with control pins, analog memories, etc to correct for fabrication variability. Hopeless situation? A VLSI MOS transistor An analog chip layout: the wish An actual chip: the cold reality Biological motivation Well, there is also a lot of variability in size and shape of neurons from a same class But the brain still manages to produce somewhat accurate computations What’s the trick? online adaptability to counteract morphological and electrical mismatches among elementary components. Remember? Electron Micrograph of a Real Neuron Mahowald & Mead’s Silicon Retina Smoothing network: allows system to adapt to various light levels. Andreou and Boahen's silicon retina See http://www.iee.et.tu-dresden.de/iee/eb/ analog/papers/mirror/visionchips/vision_chips/ andreou_retina.html Diffusive network dQn/dt is the current supplied by the network to node n, and D is the diffusion constant of the network, which depends on the transistor parameters, and the voltage Vc. Full network Two layers of the diffusive network: upper corresponds to horizontal cells in retina and lower to cones. Horizontal Nchannel transistors model chemical synapses. The function of the network can be approximated by the biharmonic equation where g and h are proportional to the diffusivity of the upper and lower smoothing layers, respectively. Full network VLSI sensor with retinal organization Carver Mead: the floating gate www.cs.washington.edu/homes/hsud/fg_workshop.html Spatial layout Electron tunneling Electron tunneling Hot electron injection Hot electron injection Spatial layout A learning synapse circuit