得到误差检验式的频域方法
A Frequency Domain Approach to Obtain All Parity Checks
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摘要: 误差检验式是线性系统误差检验中常用的关系式.本文首先建立了误差检验式的时域和 频域之间的关系.由此出发,证明了只要得到多项式矩阵[C'(zl-A)']'的左零空间的基,则 可得到所有的误差检验式;证明了用"按行搜寻格子"(searching the crate by Rows)的方法可 以得到[C'(zl-A)']'的左零空间的最小基,从而得到误差检验式的频域方法.Abstract: Parity cheek expression is a useful formulation in system failure detection. In this paper, the relationship between time and frequency domain descriptions of parity cheek is established. Then it is proved that all parity checks can be generated from the basis of the left null space of the polynomial matrix [C'(zl-A)']. It is also proved that this basis can be obtained by the method of "searching the crate by rows". And thus, frequency domain approach for parity check is obtained.
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