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首先给出基于块脉冲函数（ＢｌｏｃｋＰｕｌｓｅＦｕｎｃｔｉｏｎｓ）而构造的被称为拓广块脉冲函数（ＤｅｖｅｌｏｐｅｄＢｌｏｃｋ—ＰｕｌｓｅＦｕｎｃｔｉｏｎｓ）的一类任意分段恒定的不相关正交函数簇及其有关的基本特性．应用拓广块脉冲函数，得到一个适于脉宽调制系统分析的快速递推算法，该算法仅合代数运算，简洁明了，并且具有误差不向下传递的优良特性，便于编程和应用。文中的两个算例验证了该方法的有效性．
Firstly, a class of constant segment of unrelated orthogonal function clusters of any kind called DevelopedBlock-PulseFunctions and its related basic characteristics are given based on BlockPulseFunctions. A fast recursive algorithm suitable for pulse width modulation system analysis is obtained by using the extended block pulse function. The algorithm is based on the simple algebraic operation, concise and concise, and has the excellent characteristics of not transmitting down error, which is convenient for programming and application. Two examples in the paper verify the effectiveness of this method.