Simple checking is based on the observation that for certain mathematical functions f , the task of determining, given inputs x and y, whether or not f(x) = y is easier than the task of, on input x, computing f(x). So, a checker for function f is a program which, given inputs x and y, returns the correct answer to the question, “Does f(x) = y?” The checker may be randomized, in which case, for ...

Abstract This paper picks up the need for a wide range programmable corner frequency anti-aliasing and antiimaging filters in on-chip impedance spectroscopy sensor signal readout circuitry with self-X properties (selfdiagnosing/healing) industry 4.0 applications. A fourthorder tunable MOSFET-C low pass filter is designed by using XFAB 0.35 μm CMOS technology Cadence design tools. The proposed c...

We theoretically investigate advanced multi-functional integrated photonic filters formed by three waveguide coupled Sagnac loop reflectors (3WC-SLRs). By tailoring the coherent mode interference, spectral response of 3WC-SLR resonators is engineered to achieve diverse filtering functions with high performance. These include optical analogues Fano resonances that yield ultrahigh extinction rati...