运用gold伪随机序列测量LTI系统的脉冲响应  

Using Gold Sequences for Impulse Response Measurement of LTI-systems

作　　者：杨春花[1] 李文元[1] 王兆华[1] 

机构地区：[1]天津大学电子信息工程学院

出　　处：《电子测量与仪器学报》2006年第5期81-84,共4页Journal of Electronic Measurement and Instrumentation

基　　金：雁北师范学院青年科学基金资助项目(编号:200304002)。

摘　　要：优选m序列对或互逆特征m序列对相对移位进行模二加以后可以产生gold序列。gold序列优良的相关特性使它可以运用到相关法测量线性时不变(LTI)系统脉冲响应中。由于运用离散傅立叶变换直接计算所输入的gold序列和相应的输出信号的相关函数的效率不高,而且gold序列的长度是2N-1(N为自然数)在频率域也不能直接运用FFT算法计算输入输出序列的相关,本文引入一种基于FFT的快速算法,可以计算长度不等于2N的两个序列的互相关函数,使得该测量方法的实际应用成为可能。计算机仿真实验验证了gold序列测量方法的有效性和可行性。A binary gold sequence can be generated with the addition of module two of a preferred, or a reciprocal characteristic binary m sequence pair. With favorable correlation properties, gold sequence was exploited with correlation analysis method in impulse response measurement of time-invariant systems （LTI-systems）. Performing the cross-correlation via discrete Fourier transforms is computationally inefficient, but the length of gold sequences （2^n - 1 ） is not directly suitable for FFT-based cross-correlation algorithms. A FFT-based algorithm was used to calculate the cross-correlation between two repeated finite-length sequences of equal length, where the lengths of the sequences are not equal to 2n. It is this algorithm that contributes the gold sequence measurement to real use. Computer simulation results demonstrated the validity and the feasibility of the proposed method.

关 键 词：脉冲响应 GOLD序列 基于FFT的快速算法 

分 类 号：TB55[理学—物理]