the aim of this paper is to minimize output phase noise for the pure signal synthesis in the frequency synthesizers. for this purpose, first, an exact mathematical model of phase locked loop (pll) based frequency synthesizer is described and analyzed. then, an exact closed-form formula in terms of synthesizer bandwidth and total output phase noise is extracted. based on this formula, the phase ...

The aim of this paper is to minimize output phase noise for the pure signal synthesis in the frequency synthesizers. For this purpose, first, an exact mathematical model of phase locked loop (PLL) based frequency synthesizer is described and analyzed. Then, an exact closed-form formula in terms of synthesizer bandwidth and total output phase noise is extracted. Based on this formula, the phase ...

1. Pure natural science and pure psychology. 2. The purely psychical in self experience and community experience. The universal description of intentional experiences. 3. The self contained field of the purely psychical. Phenomenological reduction and true inner experience. 4. Eidetic reduction and phenomenological psychology as an eidetic science. 5. The fundamental function of pure phenomenol...

Let Bn(RP ) (respectively Pn(RP )) denote the braid group (respectively pure braid group) on n strings of the real projective plane RP 2 . In this paper we study these braid groups, in particular the associated pure braid group short exact sequence of Fadell and Neuwirth, their torsion elements and the roots of the ‘full twist’ braid. Our main results may be summarised as follows: first, the pu...

We study nonhomogeneous systems of linear conformable fractional differential equations with pure delay. By using new delayed matrix functions and the method variation, we obtain a representation their solutions. As an application, derive finite time stability result solutions norm estimation functions. The obtained results are new, they extend improve some existing ones. Finally, example is pr...

In this paper, we first define the notion of $\mathcal{F}$-cosmall quotient for an additive exact substructure $\mathcal{F}$ structure $\mathcal{E}$ in category $\mathcal{A}$. We show that every is right minimal some cases. also give definition $\mathcal{F}$-superfluous and relate it approximation modules. As application, investigate our results a pure-exact $\mathcal{F}$.

In this article we introduce the category of noncommutative Artin motives as well as the category of noncommutative mixed Artin motives. In the pure world, we start by proving that the classical category AM(k)Q of Artin motives (over a base field k) can be characterized as the largest category inside Chow motives which fully-embeds into noncommutative Chow motives. Making use of a refined bridg...