We propose and experimentally prove a novel design for implementing photonic temporal integrators simultaneously offering a high processing bandwidth and a long operation time window, namely a large time-bandwidth product. The proposed scheme is based on concatenating in series a time-limited ultrafast photonic temporal integrator, e.g. implemented using a fiber Bragg grating (FBG), with a disc...

A set of enhanced digital integrators (EDI) with improved accuracy via genetic algorithms are proposed in this paper. By specifying a desired power for the integrator to be sought and the interval for comparison, chromosomes consisting of parameters of the enhanced digital integrator are then searched by the genetic algorithm based on root mean squared (RMS) error between the original integrato...

This paper presents an excitatory CMOS power consumption and circuit size, which is ideal for integrator is built using operational amplifier. This circuitry is realized in TSMC 0.18μm CMOS Technology. Switched Capacitor (SC) integrator circuit The SC integrator correlated double

Abstract We propose and analyse a numerical integrator that computes low-rank approximation to large time-dependent matrices are either given explicitly via their increments or the unknown solution matrix differential equation. Furthermore, is extended of tensors by Tucker fixed multilinear rank. The proposed different from known projector-splitting for dynamical approximation, but it retains i...

for many physical systems like vehicles, acceleration can be easily measured for the respective states. however, the outputs are usually affected by stochastic noise disturbance. the mentioned systems are often sensitive to noise and structural uncertainties. furthermore, it is very difficult to estimate the multiple integrals of the signal, acceleration to velocity and velocity to position. in...

We review both full-rank and reduced-rank parameterizations for correlation matrices. In particular, the full-rank parameterizations of Rebonato (1999d) and Schoenmakers and Coffey (2000), the reduced-rank angle parameterization of Rebonato (1999d) and Rebonato and Jäckel (1999), and the well known zeroed-eigenvalues reduced-rank approximation are described in detail. Numerical examples are pro...

To automatically annotate songs with descriptive keywords, a variety of content-based auto-tagging strategies have been proposed in recent years. Different approaches may capture different aspects of a song’s musical content, such as timbre, temporal dynamics, rhythmic qualities, etc. As a result, some auto-taggers may be better suited to model the acoustic characteristics commonly associated w...

After reviewing several physiological findings on oscillations in the electroencephalogram (EEG) and their possible explanations by dynamical modeling, we present neural networks consisting of leaky integrator units as an universal paradigm for neural and cognitive modeling. In contrast to standard recurrent neural networks, leaky integrator units are described by ordinary differential equation...