The high Peak-to-Average-Power ratio (PAR) of Orthogonal Frequency Division Multiplexing (OFDM) transmission systems has become a significant issue in the design of modern multicarrier systems. One of the earliest and most popular techniques is tone reservation [1], where a set of unused tones (or specially reserved-tones) are exploited to generate time-domain signals to reduce the signal peaks...

17 Remark 2 We cannot characterize so far all L evy processes for which Theorem 3.2 holds. However, the present argument given for that theorem easily shows that its statement holds when, say, + is equivalent to the tail of a distribution in S(), and 0 is of a smaller order. Then, in particular, lim x!1 P R T 0 jX(t)jdt > x A + () T ~ + (x=T) = T : (3:30) The case when 0 is equivalent to the ta...

The aim of this paper is to unify interchange theorems and extend them to hypergraphs. To this end sufficient conditions for equality of the l1-distance between equivalence classes and the l1-distance between corresponding order-type functions are provided. The generality of this result is demonstrated by a number of new corollaries concerning the factorization and the switching completeness of...

Lattices have been used in several problems in coding theory and cryptography. In this paper we approach q-ary lattices obtained via Constructions D, D′ and D. It is shown connections between Constructions D and D′. Bounds for the minimum l1-distance of lattices ΛD, ΛD′ and ΛD and, under certain conditions, a generator matrix for ΛD′ are presented. In addition, when the chain of codes used is c...

It was shown in a previous work that some blind methods can be made robust to channel order overmodeling by using the l1 or lp quasi-norms. However, no theoretical argument has been provided to support this statement. In this work, we study the robustness of subspace blind based methods using l1 or lp quasi-norms. For the l1 norm, we provide the sufficient and necessary condition that the chann...

For a general multirate SD (sampled-data) system, we characterize explicitly the set of all causal, stabilizing controllers that achieve a certain H 1 norm bound; moreover, we give explicitly a particular controller that further minimizes an entropy function for the SD system. The characterization lays the groundwork for synthesizing multirate control systems with multiple/mixed control speciic...

In the hard pulse approximation, commonly used in nuclear magnetic resonance, one considers potentials for the AKNS system that are sums of δ-functions. The system of differential equations does not, strictly speaking make sense for such potentials. In [8] an analogous discrete forward and inverse problem are analyzed. We review these results and show that pulses obtained using the inverse scat...

This paper presents a method for fast planning within arbitrary maps, through segmentation of the map into Manhattan-cohesive areas. A Manhattan-cohesive area is a connected part of the map where the optimal distance between any two points in the area is equal to their Manhattan distance. We adopt a four directions Manhattan distance, where diagonal moves are allowed. In the paper we present th...

A normed vector space is a real or complex vector space in which a norm has been defined. Formally, one says that a normed vector space is a pair (V, ∥ · ∥) where V is a vector space over K and ∥ · ∥ is a norm in V , but then one usually uses the usual abuse of language and refers to V as being the normed space. Sometimes (frequently?) one has to consider more than one norm at the same time; th...

TOPSIS is a multicriteria decision making technique based on the minimization of geometric distances that allows the ordering of compared alternatives in accordance with their distances from the ideal and anti-ideal solutions. The technique, that usually measures distances in the Euclidean norm, implicitly supposes that the contemplated attributes are independent. However, as this rarely occurs...