Design of the Family of Orthogonal and Spectrally Efficient UWB Waveforms
Design of the Family of Orthogonal and Spectrally Efficient UWB Waveforms
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DOI：
10.1109/jstsp.2007.897045
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发表时间：
2007-06-01
影响因子：
7.5
通讯作者：
Kohno, Ryuji
中科院分区：
文献类型：
--
作者：
Dotlic, Igor;Kohno, Ryuji
在本文中，非线性相位，全频带，超宽带（UWB）脉冲的设计，满足联邦通信委员会的有效各向同性辐射功率谱掩模，或更一般地说，任何其他给定的掩模，介绍了一种方法。该方法在迭代过程的每一步中使用凸规划来更新目标函数的相位分布。由于它的数学结构，这种方法可以很容易地修改，以适用于，在顺序的方式，几个不同的正交UWB脉冲设计问题，稍后在本文中解决。其中第一个问题是在文献中考虑的多个脉冲的设计，辐射时正交。当用于解决这个问题时，这里提出的方法与之前介绍的方法相比产生了相当大数量的具有高能量的正交脉冲。作为一种新奇，考虑了设计接收正交脉冲的问题。然后，我们的方法的修改，可以用来解决这个问题。我们还介绍了接收脉冲正交性对信道传递函数引起的脉冲形状变化的鲁棒性的统计准则。在此之后，所提出的方法的修改，是能够产生一组脉冲与预定义的最大值的这个标准。此外，它表明，所提出的方法可以用来有效地设计正交脉冲使用一个次优值的采样率。所有的概念介绍了设计实例说明。
In this paper, a method for the design of nonlinear phase, full-band, ultra-wideband (UWB) pulses that satisfy the Federal Communications Commission's effective isotropic radiation power spectrum mask, or more generally, any other given mask, is introduced. The method uses convex programming in each step of the iterative procedure that updates the phase distribution of the goal function. Thanks to its mathematical structure, this method can be easily modified in order to be applied, in sequential fashion, to several different orthogonal UWB pulse-design problems, addressed later in the paper. The first among them is a problem considered in literature-design of multiple pulses, orthogonal when radiated. When employed for solving this problem, the method proposed here produces a considerably larger number of orthogonal pulses with high energy compared to the methods introduced before. As a novelty, the problem of designing pulses which are orthogonal in reception is considered. Then, a modification of our method is presented that can be used to solve this problem. We also introduce statistical criteria of robustness of pulses' orthogonality in reception, to the variation of the pulses' shape caused by the channel transfer function. After that, a modification of the proposed method is presented that is capable of producing a set of pulses with predefined maximum value of this criteria. Furthermore, it is shown that the method proposed can be used to efficiently design orthogonal pulses using a suboptimal value of the sample rate. All the concepts introduced are illustrated by design examples.