A method of generating uniformly distributed sequences over [0, K], where K+1 is not a power of two
نویسندگان
چکیده
A new methodology has been recently proposed for the efficient generation of multiple pseudo-random bit sequences that are statistically uncorrelated [1]. Random sequences that are uniformly distributed over a range ] , 0 [ K , where 1 + K is a power of 2, can be constructed by forming a vector of M independent bit sequences, where ) 1 ( log 2 + = K M . In this paper we demonstrate that this method of construction represents a special case of a more generalized approach in which K can be any positive integer. The procedures described here can be used to efficiently generate multiple independent random sequences that are uniformly distributed over any range.
منابع مشابه
HYPERTRANSCENDENTAL FORMAL POWER SERIES OVER FIELDS OF POSITIVE CHARACTERISTIC
Let $K$ be a field of characteristic$p>0$, $K[[x]]$, the ring of formal power series over $ K$,$K((x))$, the quotient field of $ K[[x]]$, and $ K(x)$ the fieldof rational functions over $K$. We shall give somecharacterizations of an algebraic function $fin K((x))$ over $K$.Let $L$ be a field of characteristic zero. The power series $finL[[x]]$ is called differentially algebraic, if it satisfies...
متن کاملIterative scheme based on boundary point method for common fixed point of strongly nonexpansive sequences
Let $C$ be a nonempty closed convex subset of a real Hilbert space $H$. Let ${S_n}$ and ${T_n}$ be sequences of nonexpansive self-mappings of $C$, where one of them is a strongly nonexpansive sequence. K. Aoyama and Y. Kimura introduced the iteration process $x_{n+1}=beta_nx_n+(1-beta_n)S_n(alpha_nu+(1-alpha_n)T_nx_n)$ for finding the common fixed point of ${S_n}$ and ${T_n}$, where $uin C$ is ...
متن کاملFixed points for total asymptotically nonexpansive mappings in a new version of bead space
The notion of a bead metric space is defined as a nice generalization of the uniformly convex normed space such as $CAT(0)$ space, where the curvature is bounded from above by zero. In fact, the bead spaces themselves can be considered in particular as natural extensions of convex sets in uniformly convex spaces and normed bead spaces are identical with uniformly convex spaces. In this paper, w...
متن کاملA Survey on the Impact of Distributed Energy Resources on Power Flow Components
Turning to Renewable Energy Sources (RES) is the most logical politics in securing the modern society from critical changes in earth increasing temperature. However, Distributed Generation (DG) sources could lead to new challenges in electricity network, mainly allocation of DG sources in distribution level of power system will set the existing network under stress of power flow parameters. The...
متن کاملOptimal Allocation of Distributed Generation in Microgrid by Considering Load Modeling
Recent increment in carbon emission due to the dependency on fossil fuels in power generation sector is a critical issue in the last decade. The motivation to Distributed Generation (DG) in order to catch low carbon networks is rising. This research seeks to experience DG existence in local energy servicing in microgrid structure. Optimal sizing and placement of DG units is followed by this pap...
متن کامل