从Haar尺度函数入手 ,提出尺度系数函数概念 ,引入时移因子 ,将Battle Lemari啨子波基拓展而构造出广义Battle Lemari啨多分辨分析基 .然后从理论上论证这种拓展的合理性与广义Battle Lemari啨基的一些基本性质 .研究结果表明 :所有广义Battle Lemari啨基继承了 (原始 )Battle Lemari啨基的许多优点 ,比如标准正交性 ,时、频局域化特征和指数衰减性等 ,同时还得到一系列新的对称基 ,广义Battle Lemari啨基的正则性优于相应的 (原始 )Battle Lemari啨基 Starting from the Haar scale function, this paper proposes the concept of scale coefficient function, introduces the time-shift factor, and expands the Battle Lemari 啨 wavelet base to construct the generalized Battle Lemari 啨 multi-resolution analysis base. Then the rationality and generalization of this expansion are demonstrated theoretically The results show that all generalized Battle Lemarians inherit many of the advantages of the (original) Battle Lemari base, such as standard orthogonality, time-frequency localization features and exponential decay properties , And a series of new symmetric bases are also obtained. The generalized Battle Lemari bases are more regular than the corresponding (original) Battle Lemari bases