Linear time-invariant (LTI) systems find ubiquitous applications in digital signal processing [1], image processing [2], communication [3], and array processing [4], to name a few. An LTI system can be characterized by its impulse response, which is defined as the output response to an impulse input. For an arbitrary input signal, the output signal of an LTI system is obtained by the convolution of the input signal with the impulse response. This property is closely related to transform-based methods in signal processing, such as discrete-time Fourier transforms, z-transforms, and discrete Fourier transforms. Interested readers are referred to [1] and the references therein.

中文翻译：

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使用中间辅助函数的离散时间线性时不变系统的闭式输出响应 [讲义]

线性时不变 (LTI) 系统在数字信号处理 [1]、图像处理 [2]、通信 [3] 和阵列处理 [4] 中发现了无处不在的应用，仅举几例。LTI 系统可以通过其脉冲响应来表征，脉冲响应被定义为对脉冲输入的输出响应。对于任意输入信号，LTI 系统的输出信号是通过输入信号与脉冲响应的卷积得到的。此属性与信号处理中基于变换的方法密切相关，例如离散时间傅里叶变换、z 变换和离散傅里叶变换。有兴趣的读者可以参考 [1] 和其中的参考资料。