We investigate iterative implementations of linear receivers for spatial diversity channels. This work has been motivated by recent results concerning iterative implementations of linear multiuser receivers, under the assumption of long random sequences. We explore implementation issues for such iterative methods for f inite system dimensions. We consider the Chebyshev iteration using estimates...

which is the first inequality of (a). This establishes (a) for all cases. The proof of the theorem stated above follows at once. For each cross product we can form a chain of inequalities (a). The last circle in (a), which includes all the preceding, is the isometric circle of a transformation of one of the original groups. We make an application of the method. The simplest group consists of th...

The Riemann zeta function on the critical line can be computed using a straightforward application of the Riemann-Siegel formula, Schönhage’s method, or Heath-Brown’s method. The complexities of these methods have exponents 1/2, 3/8 (=0.375), and 1/3 respectively. In this paper, three new fast and potentially practical methods to compute zeta are presented. One method is very simple. Its comple...

This paper presents a novel key estimation method of sound sources based on the music theory known as "circle of fifths". We firstly overview music theory and formulate the musical key analysis by vector operations. In detail, we separate music sources into small pieces and calculate FFT-based chroma vectors. They are converted to tonality vectors and COF (circle-of-fifth) vectors are calculate...

There have been many increasing interests in fuzzy theory in the recent years, yet there are a lot of issues to be resolved, mainly on topics related to controller design such as the field of robot, artificial intelligence, and nonlinear systems etc. This study focuses on the development of triangular fuzzy numbers, the revising of triangular fuzzy numbers, and the constructing of a HCFN (half-...

The authors manipulated the width of a timing target in continuous circle drawing to determine whether a more stringent spatial-timing criterion would produce an increase in participants' (N = 30) temporal variability. They also examined the effect of the computational method of determining cycle duration. There was no effect of spatial precision on temporal variability in circle drawing, and t...

is unbounded below and the system will, under certain conditions, develop (selffocusing) singularities in a finite time. We show that, when s is the circle and the L 2 norm of the field (which is conserved by the dynamics) is bounded by N, the Gibbs measure v obtained is absolutely continuous with respect to Wiener measure and normalizable if and only if p and N are such that classical solution...

There are many methods able to extract the instantaneous frequencies from a time series for practical applications. Gabor’s method is one of the most popular and simple methods. For wide band time series, Gabor’s method may produce negative frequencies. The limitation of Gabor’s method is that, in order to avoid resulting with negative frequencies, it can only be applied to time series with mon...

We generalize the JSJ-splitting of Rips and Sela to give decompositions of nitely presented groups which capture splittings over certain classes of small subgroups. Such classes include the class of all 2-ended groups and the class of all virtually ZZ groups. The approach, called \track zipping", is relatively elementary, and diiers from the Rips-Sela approach in that it does not rely on the th...