Contents
What are the conditions for a system to be LTI?
LTI systems are those that are both linear and time-invariant. Linear systems have the property that the output is linearly related to the input. Changing the input in a linear way will change the output in the same linear way.
Which of the response of an LTI system depend on initial conditions?
Explanation: An LTI system is said to be causal when its output at any time depends on the previous and present value of the input. That is its value does not depend only on past values. Explanation: A causal system follows what is called initial rest concept.
How to create an initial condition for an LTI system?
You can use ic to specify initial conditions when simulating any type of LTI system. ic = initialCondition (G) creates an initialCondition object corresponding to a linear model G of the free response. Free-response model, specified as an LTI model with no inputs.
Which is an important property of an LTI system?
The impulse response is an especially important property of any LTI system. We can use it to describe an LTI system and predict its output for any input. To understand the impulse response, we need to use the unit impulse signal, one of the signals described in the Signals and Systems wiki.
What are the initial conditions of a linear system?
A linear system must have a zero output for zero input. With non-zero initial conditions the output will generally be non-zero, even for a zero input signal. Alternatively, think of scaling a given input signal. A linear system will have a response that is scaled in the same way.
The definition of TI system is that it does not depend on particular time the input is applied. I can’t understand how does this definition relate to the initial conditions? Those initial conditions will be the same whenever we apply the input so why they have to be zero?