Properties of discrete variable systems
We have classified systems into three classes - Continuous-time systems, Discrete-time systems and Hybrid systems. Now that we have introduced some system properties, let us see what properties are relevant to which classes of systems.
Let us first consider examples of different classes of systems.
Continuous-time systems ontinuous-Continuous systems 1.Tree swaying in the wind: Wind - described by its speed, direction - is a continuous-time input. Movement of branches is continuous-time output signal. | Discrete-time systems Discrete-Discrete systems 1.Logic circuits: Discrete logic inputs are processed to give discrete logic outputs. |
Hybrid systems Continuous-Discrete systems 1.Eye: sees continuous image, but sends a discrete map to the brain 2.Computer microphone: Sampler converts a continuous time signal into a discrete time signal.(Sampler forms an important system in today’s digital world - we shall look at this in great detail later in the course) | Hybrid systems Discrete-Continuous systems 1.Brain : gets a discrete map from the eye, and completes a smooth, continuous picture 2.Computer speaker and sound card - a digital music output given by the computer is smoothed out and played as a continuous waveform. |
Properties of systems
In early parts of this course, we shall concern ourselves with mainly the first two classes, viz. Continuous-time and Discrete-time systems, but later we shall also deal with Hybrid systems as well. So, we find it worthwhile here to take a look at what properties the systems of various classes can have:
Note that this is a table of properties which the system can have; they are not necessary properties of a system. Hence, we can find a Continuous-time system that is stable (though there may be Continuous-time systems which are unstable), but it is impossible to apply the concept of memory to a discrete-continuous system without modifying the concept itself.
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1. What are the different types of systems? |
2. What is the purpose of system classification? |
3. How are systems classified based on their complexity? |
4. How does system classification help in problem-solving? |
5. Can a system belong to multiple classification categories simultaneously? |
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