Measurement of time-of-arrival or instantaneous longitudinal position is a fundamental beam diagnostic. We present results from a stripline transversal periodic coupler structure which forms the heart of a sub-ps beam timing detector. This filter structure approximates a sinx/x response in the frequency domain which corresponds to a limited pulse length response in the time domain. These techni...

Transversal Recursive Least Squares (RLS) algorithms estimate filter coefficients which minimize the accumulated sum of the square of the error residuals termed the error power. In this paper the sensitivity of this error power to random perturbations about the optimum filter coefficients is investigated. Expressions are derived for the mean and variance of the deviation from the optimum error ...

We present a new fast algorithm for Recursive Least-Squares (RLS) adaptive ltering that uses displacement structure and subsampled updating. The FSU FTF algorithm is based on the Fast Transversal Filter (FTF) algorithm, which exploits the shift invariance that is present in the RLS adaptation of a FIR lter. The FTF algorithm is in essence the application of a rotation matrix to a set of lters a...

In this paper a new method for the design of a linear phase distributed amplifier in 180nm CMOS technology is presented. The method is based on analogy between transversal filters and distributed amplifiers topologies. In the proposed method the linearity of the phase at frequency range of 0-50 GHz is obtained by using proper weighting factors for each gain stage in cascaded amplifier topology....

In this paper, we introduce binary-weighted digital control into the gain cell design of a distributed transversal filter (DTF) to demonstrate the benefits of digitally-assisted RF circuits. By effectively integrating a digital-to-analog converter (DAC) into the gain cell, the new design can improve gain cell’s linearity and hence DTF’s dynamic range. A 5-tap DTF prototype was designed and impl...

The main limitation of FQRD-RLS algorithms is that they lack an explicit weight vector term. Furthermore, they do not directly provide the variables allowing for a straightforward computation of the weight vector as is the case with the conventional QRD-RLS algorithm, where a back-substitution procedure can be used to compute the coefficients. Therefore, the applications of the FQRD-RLS algorit...

A new algorithm is proposed for the automatic segmentation of the common carotid wall in ultrasound images. It uses the random sample consensus (RANSAC) method to estimate the most significant cubic splines or ellipses fitting the edge map of a longitudinal or a transversal section, respectively. Periodic spline fitting is also investigated for transversal sections. The geometric model (spline ...

We discuss the class of paratopological groups which admits a transversal, T 1 -independent and -complementary group topology. show that Sorgenfrey line does not admit Hausdorff topology, gives negative answer to [5, Problem 10] . give very useful criterion for transversality in term submaximal prove if non-discrete topology G contains central subgroup transversal then so introduce concept PT -...

The FNTF algorithm starts from the RLS algorithm for adapting FIR lters. The FNTF algorithm approximates the Kalman gain by replacing the sample covariance matrix inverse by a banded matrix (AR(M) assumption for the input signal). The approximate Kalman gain can still be computed using an exact recursion that involves the prediction parts of two Fast Transversal Filter (FTF) algorithms of order...

1. Introduction. Transversal theory is a branch of combinatorial mathematics which is only just beginning to emerge as a reasonably connected and coherent subject. Whether this is yet rich enough or mature enough to be called a 'theory' may be a matter for debate; indeed, it is by no means certain that this part of mathematics may not finally be classified under some broader, more comprehensive...