Chapter 14
Linear Time- Invariant Systems
线性时不变方程组
A system is linear if it displays the characteristics of homogeneity and additivity, together termed as the superposition property, a principle observed ...
脉冲响应
The impulse response is the system's reaction to an input impulse.
In an RC circuit, the voltage source is the input, and the capacitor's voltage ...
卷积:数学、图形和离散信号
In any LTI system, the convolution of two signals is denoted using a convolution operator, assuming all initial conditions are zero.
The convolution ...
卷积属性 I
Convolution computations can be simplified by utilizing their inherent properties.
The commutative property reveals that the input and the impulse ...
卷积属性 II
The important convolution properties are width, area, differentiation, and integration properties.
The width property indicates that if the durations of ...
反 褶 积
The system's impulse response can be utilized to determine the output response through input signal and impulse response convolution.
Acquiring this ...
连续时间和离散时间系统的 BIBO 稳定性
The stability of systems can be ascertained using convolution.
If an input signal has a constant that ensures that the signal's modulus never exceeds ...
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