Overview
Linear Time-Invariant (LTI) systems are essential in signal processing, characterized by their linearity and time-invariance. These systems respond predictably to inputs, making them easier to analyze and design. The impulse response is a key concept, as it defines the system's behavior and allows f...
Key Terms
Example: If input A produces output B, then input 2A produces output 2B.
Example: If input A produces output B at time t, then input A delayed by t0 produces output B delayed by t0.
Example: The impulse response of a system can be used to find the output for any input using convolution.
Example: The convolution of a signal with an impulse response gives the output of an LTI system.
Example: Fourier Transform converts a time-domain signal into its frequency-domain representation.
Example: The Fourier Transform of a square wave shows its harmonic frequencies.