We consider the design of digital lters and discuss the inclusion of explicitly speciied transition bands in the frequency domain design of FIR lters. We put forth the notion that explicitly speciied transition bands have been introduced in the lter design literature as an indirect and often inadequate approach for dealing with discontinuities in the desired frequency response. We also present ...

Human activity recognition (HAR), using wearable sensors, is a growing area with the potential to provide valuable information on patient mobility to rehabilitation specialists. Smartphones with accelerometer and gyroscope sensors are a convenient, minimally invasive, and low cost approach for mobility monitoring. HAR systems typically pre-process raw signals, segment the signals, and then extr...

Kalman filter is one of the most common ways to deal with dynamic data and has been widely used in project fields. However, the accuracy of Kalman filter for discrete dynamic system is poor when the observation matrix is ill-conditioned. Therefore, the method for overcoming the harmful effect caused by ill-conditioned observation matrix in discrete dynamic system is studied in this paper. First...

It is discussed in many studies and demonstrated the researches that based on certain applications, analog design of filter has several issues including complex design, re-use Limitations, accuracy generating output at various frequencies. Therefore, instead digital preferred for both Finite Infinite Impulse Response Filter. This paper demonstrates FIR designed using ultrascale Field Programmin...

Evolutionary algorithms have received much attention in extracting knowledge on high-dimensional micro-array data, being crucial to their success a suitable definition of the search space of the potential solutions. In this paper, we present an evolutionary approach for selecting informative genes (features) to predict and diagnose cancer. We propose a procedure that combines results of filter ...

This correspondence presents a novel hybrid wrapper and filter feature selection algorithm for a classification problem using a memetic framework. It incorporates a filter ranking method in the traditional genetic algorithm to improve classification performance and accelerate the search in identifying the core feature subsets. Particularly, the method adds or deletes a feature from a candidate ...

In this paper, we present two novel memetic algorithms (MAs) for gene selection. Both are synergies of Genetic Algorithm (wrapper methods) and local search methods (filter methods) under a memetic framework. In particular, the first MA is a Wrapper-Filter Feature Selection Algorithm (WFFSA) fine-tunes the population of genetic algorithm (GA) solutions by adding or deleting features based on uni...

One special subalgebra of the algebra of fuzzy truth values is the set of those elements that take only 0 and 1 as values. This subalgebra is in one-to-one correspondence with the subsets of the unit interval, but the operations do not correspond to ordinary union and intersection. The automorphisms of this subalgebra are studied here, resulting in showing that the subobjects corresponding to n...

Separability in ordinary regression is achieved by partitioning the set of explanatory variables into mutually orthogonal subsets. The coefficient vector of each subset is separate: its estimate depends only on the response and on the explanatory variable scores of the subset. The feasibility of formulating multilevel models with subsets of separate parameters in the fixed part is discussed. Ge...

We realise Stroppel’s extended arc algebra \[13, 51] in the Fukaya–Seidel category of a natural Lefschetz fibration on generic fibre adjoint quotient map type $A$ nilpotent slice with two Jordan blocks, and hence obtain symplectic interpretation certain parabolic two-block versions Bernstein–Gel’fand–Gel’fand $\\mathcal{O}$. As an application, we give new geometric construction spectral sequenc...