论文标题
从霍夫曼序列的傅立叶光谱得出的三角相关阵列的家族
Families of delta-correlated arrays derived from the Fourier spectra of Huffman sequences
论文作者
论文摘要
有限离散的霍夫曼序列及其扩展到n维数组之所以受到高度重视,因为它们的离散的大道自动相关最佳地近似Delta函数的连续体形式。我们在这里介绍了几个新的家族,包括霍夫曼序列,除了亨特和阿克罗伊德发现的递归形式之外。这些新序列是使用Huffman序列的显着均匀离散的傅立叶功率光谱得出的,其中元素以斐波那契序列的术语表示。
Finite discrete Huffman sequences, together with their extension to n-dimensional arrays, are highly valued because their discrete aperiodic auto-correlations optimally approximate the continuum form of the delta function. We present here several new families of real and integer-valued Huffman sequences, beyond those of the recursive form found by Hunt and Ackroyd. These new sequences are derived using the remarkably uniform discrete Fourier power spectra of Huffman sequences, where the elements are expressed as terms of the Fibonacci sequence.