一种构造最佳二进阵列偶的新方法

利用最佳二进阵列偶和准最佳二进阵列的性质,给出了一种构造最佳二进阵列偶的新方法。使用这种方法,可以将一个n维N1N2…Nn阶的最佳二进阵列偶(X,Y)和一个n维N1N2…Nn阶的准最佳二进阵列,构造成新的一类n维2N1?N2…Nn阶和4N1N2…Nn阶的最佳二进阵列偶(X*,Y*)。*     

屏蔽二进阵列偶的构造方法研究

准最佳、双准最佳屏蔽二进阵列偶具有良好周期相关特性,是对最佳屏蔽二进阵列偶的扩充.为深入完善屏蔽二进阵列偶理论,在最佳二进阵列偶、准最佳和双准最佳二进阵列偶构造方法研究的基础上,给出了3种最佳、准最佳、双准最佳屏蔽二进阵列偶的构造方法,即准最佳、双准最佳屏蔽阵列偶的复合构造法,利用最佳与准最佳屏蔽二进阵列偶来构造最佳屏蔽二进阵列偶,以及利用准最佳和双准最佳屏蔽二进阵列偶来构造准最佳屏蔽二进阵列偶.     

最佳四进阵列偶构造方法研究

本文给出了三种构造最佳四进阵列偶的方法,其中包括采用周期互补二进阵列偶直接构造最佳四进阵列偶的方法,由最佳四进阵列偶和准最佳阵列偶交替递归构造最佳四进阵列偶的方法,采用几乎最佳四进阵列偶与最佳四进阵列偶递归构造最佳四进阵列偶的方法.     

双准最佳二进阵列偶的研究

本文定义了一种新的最佳信号即双准最佳二进列偶，讨论了双准最佳二进阵列偶的变换性质；用计算机搜索出一些小体积的双准最佳二进阵列偶；并给出了构造双准与准最佳二进阵列偶的方法。     

准最佳屏蔽二进阵列偶理论研究

本文在最佳屏蔽二进阵列偶的基础上定义了一种新的最佳循环相关信号,即准最佳屏蔽二进阵列偶,讨论了准最佳屏蔽二进阵列偶的体积、变换性质,通过分析其Fourier频谱特性和研究其存在的必要条件,为计算机搜索最佳屏蔽二进阵列偶奠定了理论基础,并给出了由计算机搜索出的若干小体积准最佳屏蔽二进阵列偶.     

准最佳二进阵列偶

本文在最佳二进阵列、准最佳二进阵列和最佳二进阵列偶的基础上,定义了一种新的最佳信号,即准最佳二进阵列偶.讨论了准最佳二进阵列偶的体积、变换性质,并对其进行了Fourier频谱分析,得到了部分有益的结果.还用计算机穷举搜索出了体积从2~24的准最佳二进阵列偶.     

一种新的并元互补码偶族的构造方法

利用并元互补码偶族和准最佳二进阵列的性质,给出了一种构造并元互补码偶族的新方法.使用这种方法,可以用一个长度为、组教为的并元互补码偶族和一个2维的准最佳二进阵列,构造成新的一类长度为、组数为的并元互补码偶族,为实际工作中提供了更多的最佳信号.     

一种构造最佳四元二维互补阵列的新方法

该文利用最佳四元二维互补阵列和准最佳四元二维互补阵列的性质,给出了一种构造最佳四元二维互补阵列的新方法。使用这种方法,可以将一个二维的st 阶的最佳四元二维互补阵列和一个2st 阶的准最佳四元二维互补阵列,构造成新的一类二维4st 阶和2s2t 阶的最佳四元二维互补阵列。     

最佳屏蔽二进阵列偶构造方法研究

给出了四种构造最佳屏蔽二进阵列偶的方法,即最佳屏蔽二进阵列偶的周期乘法、半周期最佳屏蔽二进阵列偶的直积、最佳屏蔽二进序列偶与阵列偶间的折叠构造以及最佳屏蔽二进阵列偶之间的折叠构造。     

最佳二进阵列偶的复合构造法

提出并证明了用已知最佳二进阵列偶构造高维、高阶最佳二进阵列偶的复合构造法;讨论了用等重最佳二进阵列偶复合构造新的高维、高阶最佳二进阵列偶时,所得到的最佳二进阵列偶的型的变化结果。使用这种方法可构造无穷多最佳二进阵列偶。     

Constructing new perfect binary arrays

Only a small number of different sizes are known for which there exist two-dimensional perfect binary arrays. Construction methods are given which generate new two-dimensional perfect binary arrays, four of which are larger than any previously reported     

Perfect ternary arrays

Signals of two or more dimensions with ideal impulse-like periodic autocorrelation functions are used in higher-dimensional signal processing or in radar systems. Four synthesizing methods for perfect ternary arrays are presented. Based on known perfect binary and ternary sequences and arrays, many new perfect ternary arrays with increasing number of elements are constructed. New strong conditions for the existence of perfect arrays are developed. By combining these conditions with an advanced computer search, new ternary arrays are found. These new ternary arrays can be used as starting arrays to construct additional perfect ternary sequences and arrays     

屏蔽二元互补序列偶构造方法的研究

在分析和研究屏蔽二元互补序列偶性质的基础上,提出了几种屏蔽二元互补序列偶新的构造方法,这些新的构造方法进一步丰富和完善了屏蔽二元互补序列偶理论.研究表明,所提出的序列偶构造方法能够简单地产生出更多的屏蔽二元互补序列偶,可以为实际工程应用提供最佳信号设计.     

Two-dimensional perfect binary arrays with 64 elements

Perfect binary arrays can exist for numbers of elements that are even square numbers. Two-dimensional (2-D) perfect binary arrays are 4, 16, 36, and 144 elements are known. Perfect binary arrays with 64 elements can be constructed for three or more dimensions. Here, two-dimensional binary arrays with 64 elements are examined. The results of computer search for symmetric binary arrays with 64 elements are presented in the form of two 2-D perfect binary arrays with sizes 8*8 and 4*16. Applications of these perfect binary arrays are in 2-D synchronization, time-frequency coding, and coding loudspeaker fields     

Two-dimensional perfect quaternary arrays

We study two-dimensional (2-D) arrays of fourth roots of unity which have all out-of-phase periodic autocorrelations equal to zero. Generalizing the concept of a perfect binary array, we call these arrays perfect quaternary arrays. We establish connections with combinatorial design theory and exhibit large families of such arrays. Increasing the alphabet from size two to size four greatly increases the flexibility one has in choosing the dimensions for 2-D arrays with perfect periodic autocorrelation. For example, we show that the number of entries in a 2-D perfect quaternary array may be divisible by any Mersenne prime and indeed by many other primes, whereas 2-D perfect binary arrays are only known to exist with size equal to a power of two times a power of three     

Infinite families of perfect binary arrays

The author constructs four infinite families of perfect binary arrays. Jedwab and Mitchell have constructed some small perfect binary arrays using quasiperfect binary arrays and doubly quasiperfect binary arrays. The author shows that a doubly quasi-perfect binary array is equivalent to a quasiperfect binary array. This means Jedwab and Mitchell's construction can be iterated to obtain larger perfect binary arrays     

Perfect pseudoperiodic binary arrays

Arrays with good correlation properties are required for code-departure imaging, as well as for other applications of two-dimensional signal processing. Since binary arrays with perfect periodic autocorrelation are rather sparse. `pseudoperiodic' binary arrays are discussed. The transmitted binary array is correlated in the receiver with the same array which is surrounded periodically by similar ternary arrays. A construction method is presented that permits the construction of such `pseudoperiodic' binary arrays with perfect correlation properties for all sizes p₁^a1×p ₂^a2 (p₁, p₂ odd prime, a₁, a₂=1, 2, 3...)     

最佳二进阵列研究

本文首次找出了最佳二进阵列与高维Hadamard矩阵之间的密切关系,并用Fourier变换理论对最佳二进阵列的谱特性进行了研究,得到了几个有趣的新结果。文中还给出了最佳二进阵列研究中的几个未解决的问题。     

Existence of one-dimensional perfect binary arrays

The close relationship between perfect binary arrays and higher-dimensional Hadamard matrices is determined in the letter. With this relationship we have proved that there exists no one-dimensional perfect binary array with energy greater than four. We conjecture that this relationship may be helpful for the study of other higher-dimensional perfect binary arrays.     

Perfect binary arrays with 36 elements

The letter presents a new two-dimensional binary array with a perfect periodic autocorrelation function (PACF). Four decompositions of the new array in two-, three- and four-dimensional arrays with the same property are shown. These can be applied, for example, in time-frequency coding, two-dimensional synchronisation and image coding.