A function dependent on the solution of a set of differential equations containing adjust~ able parameters, can be minimized by systematic search procedures in parameter space. Such procedures can be implemented by a hybrid system consisting of a general purpose analog computer and a digital expansion providing parallel logic building blocks. Programming of such a system is illustrated for a si...

We outline a hybrid analog-digital scheme for computing with three important features that enable it to scale to systems of large complexity: First, like digital computation, which uses several one-bit precise logical units to collectively compute a precise answer to a computation, the hybrid scheme uses several moderate-precision analog units to collectively compute a precise answer to a compu...

Since the ability to describe dynamic in high level, Petri Nets has already been used extensively in logic circuits and systems community for state analysis. As others formal methods, extending Petri Nets to analog circuits analysis requires continuous feature enhanced. In this paper, the object of study is dynamic of circuits with random nonlinear feature (such as random noise and random inter...

Signal restoration is necessary to perform computations of significant complexity. In digital computers each state variable is restored to a binary value, but this strategy is incompatible with analog computation. Nevertheless, cortical neurons, whose major mode of operation is analog, are able to perform prodigious feats of computation. Our research on visual cortex suggests that cortical neur...

This paper proposes a genetic algorithm assisted hybrid signal to leakage plus noise ratio (SLNR) beamforming design for wireless fronthaul scenario. The digital precoder of the proposed hybrid SLNR beamforming is expressed in closed-form. Highly limited phase resolution (one-bit resolution) is assumed at the phase shifters at the analog precoder. The analog precoders maximizing the approximate...

This paper considers an uplink multiuser hybrid beamforming system where a base station (BS) communicates with multiple users simultaneously. The performance of the uplink multiuser hybrid beamforming system depends on the effective channel which is given by the product of channel matrix and the analog beams. Therefore, to maximize the performance, we need to acquire information of the channels...

Antenna arrays with hybrid analog-digital signal processing capabilities offer a compromise between the performance of digital arrays and the cost-efficiency of analog arrays with a single radio-frequency (RF) chain. A limitation of hybrid arrays is that the number of independent streams that they can transmit with standard precoding techniques cannot be larger than the number of RF chains. In ...