In a companion paper, we have considered the problem of optimization of filter banks (FB’s) for given input statistics. We have pointed out a strong connection between FB optimality and the principal component property. We have shown that principal component filter banks (PCFB’s) are optimal for various signal processing schemes such as coding and denoising. In the present paper, we examine the...

The aim of structural performance monitoring is to infer the state of a structure from measurements and thereby support decisions related to structural management. Complex structures may be equipped with hundreds of sensors that measure quantities such as temperature, acceleration and strain. However, meaningful interpretation of data collected from continuous monitoring remains a challenge. MP...

In combining principal and minor components analysis, a parallel extraction method based on recursive least square algorithm is suggested to extract the principal components of the input vectors. After the extraction, the error covariance matrix obtained in the learning process is used to perform minor components analysis. The minor components found are then pruned so as to achieve a higher com...

One of the latest innovations in the technology of e-learning is the use of social networks (SN) for the creation and distribution of educational content and organization of communication of teachers and students. Orientation of the younger generation of students in the regular use of the SN in their daily, academic and professional life casts doubt on the prospects of the development of tradit...

This work studies the recursive robust principal components’ analysis (PCA) problem. Here, “robust” refers to robustness to both independent and correlated sparse outliers, although we focus on the latter. A key application where this problem occurs is in video surveillance where the goal is to separate a slowly changing background from moving foreground objects on-the-fly. The background seque...

A poset is called upper homogeneous (or "upho") if every principal order filter of the isomorphic to whole poset. We observe that rank and characteristic generating functions upho posets are multiplicative inverses one another.

 Brain-computer interfaces (BCI) record brain signals, analyze and translate them into control commands which are relayed to output devices that carry out desired actions. These systems do not use normal neuromuscular output pathways. Actually, the principal goal of BCI systems is to provide better life style for physically-challenged people which are suffered from cerebral palsy, amyotrophic l...

An on-line transform domain Least Mean Square (LMS) algorithm based on a neural approach is proposed. A temporal Principal Component Analysis (PCA) network is used as an orthonormalization layer in the transform domain LMS filter. Since PCA learning is an on-line learning algorithm, an on-line transform domain LMS filter can be easily implemented. Moreover, a modified Kalman estimation, which c...

Palmprint biometric technology is most accurate and reliable, which has acquired good impact over the remaining biometric technologies. Palmprint contains various features like minutiae points, wrinkles, palm lines and texture, etc. A Number of line based approaches, subspace based approaches and texture based methods for extracting features from Palmprint have been considered and studied thoro...