System

Autocorrelation of LTI system output

Autocorrelation of LTI system output
  1. How do you calculate the output of an LTI system?
  2. What is autocorrelation of energy signal?
  3. What is the causality condition for LTI system?

How do you calculate the output of an LTI system?

The output of any LTI system can be calculated using the input and the impulse function for that system. Convolution has many important properties: Commutativity: x ( t ) ∗ h ( t ) = h ( t ) ∗ x ( t ) x(t) \ast h(t) = h(t) \ast x(t) x(t)∗h(t)=h(t)∗x(t)

What is autocorrelation of energy signal?

The autocorrelation function of a signal is defined as the measure of similarity or coherence between a signal and its time delayed version.

What is the causality condition for LTI system?

An LTI system is called causal if the output signal value at any time t depends only on input signal values for times less than t. It is easy to see from the convolution integral that if h(t) = 0 for t < 0, then the system is causal.

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