The recently-introduced fast aane projection (FAP) adaptive lter has performance rivalling that of the RLS adaptive lter in many situations. However , the sliding-window RLS algorithm embedded within the FAP adaptive lter can be too complex to implement in some cases. In this paper, we describe an alternate implementation of the FAP adaptive lter that uses orthogonal transforms to approximately...

In this paper we describe a 25-year (1986-2010) dataset of phytoplankton cell density abundance and biovolume in Lake Candia, eutrophic, natural, small, shallow lake located north-western Italy, with data that are made available through the GBIF repository. The belongs to national (LTER-Italy), European (LTER-Europe) International (ILTER) long-term ecological research (LTER) networks. Phytoplan...

Image restoration has been an active research area. Dierent formulations are eective in high qualityrecovery. Partial Dierential Equations (PDEs) have become an important tool in image processingand analysis. One of the earliest models based on PDEs is Perona-Malik model that is a kindof anisotropic diusion (ANDI) lter. Anisotropic diusion lter has become a valuable tool indierent elds of image...

Attenuating random noise with a prediction lter in the time-space domain generally produces results similar to those of predictions done in the frequency-space domain. However, in the presence of moderate-to high-amplitude noise, time-space, or t-x prediction passes less random noise than does frequency-space, or f-x prediction. The f-x prediction may also produce false events in the presence o...

In adaptive FIR lters, the least-mean-square (LMS) adaptive algorithm uses the a priori error signal to update the lter coeecients. In this paper , we study the forms and properties of a pos-teriori adaptive lter updates in a general context. We provide a technique by which the stability of an adaptive lter's coeecient update can be easily analyzed using the relationship between the a priori an...

For linear dynamic systems with white process and measurement noise, the Kalman ̄lter is known to be the minimum variance linear state estimator. In the case that the random quantities are Gaussian, then the Kalman ̄lter is the minimim variance state estimator. However, in the application of Kalman ̄lters known signal information is often either ignored or dealt with heuristically. For instance...

This paper presents the optimal design and performance analysis of the linear phase paraunitary (LPPU) M band lter banks in the frame of the vector quantized image coding. First, by maximizing the uni ed coding gain, which is expressed in terms of intra-band correlation, as well as inter-band energy compaction, the LPPU M band lter banks for the general factorization form are designed. Then, th...

image restoration has been an active research area. dierent formulations are eective in high qualityrecovery. partial dierential equations (pdes) have become an important tool in image processingand analysis. one of the earliest models based on pdes is perona-malik model that is a kindof anisotropic diusion (andi) lter. anisotropic diusion lter has become a valuable tool indierent elds...

Correlation-based matching methods are known to be very expensive when used on large image databases. In this paper, we will examine ways of speeding up correlation matching by phase-coded ltering. Phase coded ltering is a technique to combine multiple patterns in one lter by assigning complex weights of unit magnitude to the individual patterns and summing them up in a composite lter. Several ...

This paper is concerned with the optimal design and performance analysis of the linear phase paraunitary (LPPU) M band lter banks in the frame of the vector quantized image coding. First, we derive an uni ed coding gain for VQ in terms of the intra-band correlation, as well as the inter-band energy compaction. Hence, by maximizing the coding gain, the LPPU M band lter banks for the general fact...