摘要:
A method of efficient computation of gradients of a merit function of a system includes the steps of: specifying at least one parameter for which the gradients with respect to the at least one parameter are desired; specifying the merit function of interest in terms of observable measurements of the system; either solving or simulating the system to determine values of the measurements; expressing the gradients of the merit function as the gradient of a weighted sum of measurements; forming an appropriately configured adjoint system; and either solving or simulating the adjoint system to simultaneously determine the gradients of the merit function with respect to the at least one parameter by employing a single adjoint analysis. Preferably, the system may be modeled by a set of equations comprising at least one of the following: a nonlinear set of equations, a linear set of equations, a set of linear partial differential equations, a set of nonlinear partial differential equations, a set of linear differential algebraic equations or a set of nonlinear differential algebraic equations. Further, the system of interest may be a network and, preferably, may be an electrical circuit. Still further, elements of the adjoint network and excitations of the adjoint network are determined in order to obtain the gradients of the merit function by employing a single adjoint analysis. It is to be appreciated that, in a preferred embodiment, the gradients of merit function are computed for the purpose of optimization and the merit function may be either a Lagrangian merit function or an augmented Lagrangian merit function.
摘要:
A method of incorporating noise considerations during circuit optimization includes the steps of: specifying a circuit schematic to be optimized; specifying at least one noise criterion as a noise measurement, including the signal to be checked for noise, the sub-interval of time of interest, and the maximum allowable noise deviation; providing each noise criterion as either a semi-infinite constraint or a semi-infinite objective function; specifying at least one variable of the optimization; converting the semi-infinite noise constraints and the semi-infinite noise objective functions into time-integral equality constraints; optionally, if required, providing additional optimization criteria other than noise as, for each such criterion, either objective functions or constraints; creating a merit function to be minimized to solve the optimization problem; simulating the circuit in the time-domain; computing the values of the objective functions and constraints; efficiently computing the gradients of the merit function of the optimizer (including contributions of all objective functions and constraints and the time-integrals representing noise considerations) preferably by means of a single adjoint analysis; iteratively providing the constraint values, the objective function values and the gradients of the merit function to a nonlinear optimizer; and continuing the optimization iterations to convergence.
摘要:
A high performance register that can be used as a pipelined register in logic chips that are designed using a pulsed logic methodology is described. The register features minimal setup time, pulse catching and pulse launching. The register circuitry complies with and implements a circuit-level test methodology for pulsed logic that features the ability to inhibit the reset of pulses, to force resets and to operate the circuits in a pseudo static mode. The register also complies with the level sensitive scan design (LSSD) methodology. Also described is a state-holding static master-slave register that complies with a pulsed logic design methodology, the register exhibiting an automatic power reduction feature and a simplified modular register bit design which can easily be adapted to either static domino or pulsed logic. The register is also LSSD compliant. Also described is the means and method for allowing static transmission gate input registers to comply with the static evaluate test mode. The automatic power reduction feature can be extended to downstream logic.
摘要:
A pulsed logic circuit test methodology and circuitry therefor are disclosed. The methodology and circuitry allow the inhibiting of reset pulses, the ability to force resets and the ability to test the circuit in a pseudo-static mode of operation.