Linear Time-Invariant Systems (LTI)

Linear Time-Invariant (LTI) systems are a class of systems in engineering where the output response to inputs has two key properties: linearity and time invariance. Linearity means that if you double the input, the output doubles; if you add two inputs, the outputs add. Time invariance means the system's behavior doesn't change over time—shifting an input in time results in a shifted output, but the response shape remains the same. These properties make LTI systems predictable and easier to analyze, and they are widely used in signal processing, control systems, and communications.