Linear Recurring m-Arrays
نویسندگان
چکیده
In this paper, the properties, structures and translation equivalence relations of linear recurring m-arrays are systematically studied. The number of linear recurring m-arrays is given. 1. Intrduction Reed and Steward [ll], Spann [5] and [2] have studied the arrays of so-called perfact maps. This has ied I IO research on various types of window properties for arrays(see [2]-[11]). In this paper, we make a systematic study of the linear recurring m-arrays of dimension 2 . We characterize their structure, discuss their properties of translation addition, pseudo-random and sampling. We also give the number of linear recurring m-arrays, A11 the results in this paper are obtained over the finite field GF(2). One can easily generalize the results to any finite field GF(q).
منابع مشابه
Properties of Gröbner Bases and Applications to Doubly Periodic Arrays
Recently, many people have studied two-dimensional arrays over finite fields because they can be used in two-dimensional range-finding, scrambling, two-dimensional cyclic codes and other applications in communication and coding. There are two types of problems on two-dimensional arrays. The first type of problem concerns nonlinear arrays or perfect maps, the second type concerns linear recurrin...
متن کاملCoset Correlation of LR m-Arrays
The normal form and the coset correlation function of an arbitrary linear recurring m-array over F2 are introduced. It is proved that the normal form can be determined by its coset correlation function. Introduction Nguyen [3] studied the coset correlation of m-sequences and pointed out that the coset correlation provides an attractive technique for detecting the normal form when m-sequences ar...
متن کاملSynthesis of Antenna Arrays of Maximum Directivity for a Specified Sidelobe Level
Linear and planar antenna arrays are synthesized to have maximum directivity for a specified sidelobe level. The directivity is maximized subject to a given SLL. The beamwidth and the zeros of array factor are studied as well as the directivity. Maximum directivity-arrays are compared through some examples with super-directive, uniform, Dolph-Chebyshev and Riblet-Chebychev arrays to find a comp...
متن کاملPhase-Only Synthesis of Antenna Arrays Using Nonuniform Phased Sampling Method
Nonuniform Phased Sampling method is proposed to phase-only synthesize the power pattern of both linear and planar antenna arrays. This method modifies the conventional sampling method which is used for amplitude-phase synthesis. This method is based on assigning suitable phases to the sampling points of radiation pattern in order to reach desired amplitude of currents. Some examples are given ...
متن کاملOptimization of Array Factor in Linear Arrays Using Modified Genetic Algorithm
The array factor (sidelobe level, SLL) of a linear array is optimized using modified continuous genetic algorithms in this work. The amplitudes and phases of the currents as well as the separation of the antennas are all taken as variables to be controlled. The results of the design using modified GA versions are compared with other methods. Two design problems were studied using several contin...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1988