Howtosignalprocessing
- What is an example of a continuous time system?
- What are continuous time systems?
- What is continuous and discrete time system?
- What are the properties of continuous time system?
What is an example of a continuous time system?
Most signals in the real world are continuous in time. For example, if you were monitoring the temperature of a room, you would be able to take a measured value of temperature at any time.
What are continuous time systems?
A continuous-time system is a system in which the signals at input and output are continuous-time signals. This chapter connects signals with systems, especially the study of linear time-invariant dynamic systems.
What is continuous and discrete time system?
A discrete system is one in which the state variable(s) change only at a discrete set of points in time. E.g. customers arrive at 3:15, 3:23, 4:01, etc. A continuous system is one in which the state variable(s) change continuously over time. E.g. the amount of water flow over a dam.
What are the properties of continuous time system?
Definition A continuous time system T [·] is BIBO stable if for all bounded input functions x(t) the output function y(t) = T [x(t)] is also bounded. Definition A discrete time system T [·] is BIBO stable if for all bounded input functions x[n] the output function y[n] = T [x[n]] is also bounded.
