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Signal and System – Properties of systems

The System Properties that we are going to define and check are:

  • Linearity
  • Time Invariance
  • Causality
  • Stability
  • Memory

To Check and Prove the properties of systems it is necessary to apply the definition of each property to the input-output relationship of the system.

Input-output relationship of the system

The input-output relationship of the system is that algebraic expression that allows us to know the output signal y(t) as a function of the input signal x(t).

We will use the following notation for the input-output relationship of the system S, analog or digital:

This notation is intended to help analyze, define and check the properties of the system S.


Linearity is one of the most important properties of systems.

Linearity is one of the most important properties of systems. This Online course consists of three videos from which you will learn to analyze the linearity property and check that a system is Linear, or otherwise, that it is not. It offers you theory and methods that are equivalent to the Signals and Systems classes in Engineering. The property of linearity is verified step by step in these 5 continuous and/or discrete time systems shown below:

Checking Linearity Step by Step

If you have an exercise that you need to solve urgently, I recommend you try doing it yourself first, using this online class. If you can’t solve it, ATTENTION!!… I’ll give you all the advice you need!! … Professor Larry. Work, exercises, online classes, workshops, laboratories, Academic Paper, Thesis, Monographs are done. I solve problems and exercises…immediate attention!! If you use my Whatsapp number… take into account Spain time.

Elaborado por Prof. Larry Francis Obando – Technical Specialist – Educational Content Writer

Escuela de Ingeniería Electrónica de la Universidad Simón Bolívar, USB Valle de Sartenejas.

Escuela de Ingeniería Eléctrica de la Universidad Central de Venezuela, UCV CCs

Escuela de Turismo de la Universidad Simón Bolívar, Núcleo Litoral.

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