In this paper, we first provide an necessary and sufficient condition for vectors to be K-frame generators for unitary systems in Hilbert \(C^{*}\)-modules. We then characterize the K-dual Bessel generators of K-frame generators for unitary systems in Hilbert \(C^{*}\)-modules from several aspects. We also examine the properties of K-frame generators for unitary systems in Hilbert \(C^{*}\)-modules under adjointable operators, and some methods to construct new K-frame generators from given ones are presented. The results we obtained improve one corresponding result in Hilbert spaces setting and reflect, to a certain extent, the different behaviors of K-frame generators for unitary systems shown respectively in Hilbert \(C^{*}\)-modules and Hilbert spaces.

在本文中，我们首先为希尔伯特\（C ^ {*} \）-模块中的systems系统的向量成为K帧生成器提供了充要条件。然后，我们表征ķ的-双重贝塞尔发电机ķ -frame发电机中的Hilbert单一系统\（C ^ {*} \）从几个方面-模块。我们还研究了可连接算子下Hilbert \（C ^ {*} \）-模块中unit系统的K框架生成器的性质，以及构造新K的一些方法给出了给定帧生成器。我们获得的结果改进了希尔伯特空间设置中的一个相应结果，并在一定程度上反映了分别在希尔伯特\（C ^ {*} \）-模块和希尔伯特空间中示出的unit系统的K帧生成器的不同行为。