Integrable non-linear feedback analog circuit for solving linear equations

A CMOS compatible neural circuit, employing non-linear feedback, to solve a system of simultaneous linear equations is presented. The circuit has an associated energy function comprising of transcendental terms that ensure fast convergence to the solution. The use of multi-output OTAs ensures that synaptic weight resistances are eliminated thereby reducing the circuit complexity over existing schemes. PSPICE simulation results are presented for two chosen sets of equations and are found to be in close agreement with the algebraic solutions.