多次采样m序列法辨识LTI脉冲响应计算方法
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国家自然科学基金面上项目(61372094);大学生创新创业计划(AH201410363195)


Algorithm for identification of LTI impulse response with multiple sampling m sequence
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    摘要:

    研究一个时钟周期内多次采样条件下m序列法辨识线性时不变系统脉冲响应的计算方法,推导出脉冲响应序列与m序列周期、幅度及采样率之间的关系表达式。将双极性m序列信号的自相关特性进行均匀抽样,写成全周期内的统一表达式,代入维纳-何甫方程,再利用循环右移矩阵将脉冲响应用输入、输出采样序列表达出来。在matlab平台上对算法进行仿真实验,结果证明这种算法是正确的。

    Abstract:

    An algorithm for identification of linear time-invariant system impulse response was studied by using m-sequence under the condition of multiple sampling within one clock cycle series. An expression described impulse response sequence with the m-sequences' cycle, amplitude and the sampling rate was derived. For this purpose, the bipolar m-sequence signal autocorrelation property was sampled uniformly, and the unified expression in whole cycle was given and was introduced into Wiener-Hopf calculation to obtain the system's impulse response. Then, the system's impulse response was expressed as the sequences of the input signal and output signal with the cyclic shift matrix. Simulation on the MATLAB platform proved the correctness of the algorithm.

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方俊初,聂启燕.多次采样m序列法辨识LTI脉冲响应计算方法[J].河北工程大学自然版,2016,33(3):109-112

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  • 收稿日期:2016-04-26
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  • 在线发布日期: 2016-10-27
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