Howtosignalprocessing
- What is the key difference between discrete-time and continuous time?
- How can you tell the difference between continuous and discrete signals?
- What is the relation between continuous and discrete-time system?
- Is discrete-time sequence sampled from continuous time periodic signal also periodic?
What is the key difference between discrete-time and continuous time?
A discrete signal or discrete-time signal is a time series consisting of a sequence of quantities. Unlike a continuous-time signal, a discrete-time signal is not a function of a continuous argument; however, it may have been obtained by sampling from a continuous-time signal.
How can you tell the difference between continuous and discrete signals?
A signal, of which a sinusoid is only one example, is a sequence of numbers. A continuous-time signal is an infinite and uncountable set of numbers, as are the possible values each number can have.
What is the relation between continuous and discrete-time system?
Continuous and discrete signals can be related through the sampling operation in the sense that a discrete signal can be obtained by performing sampling on a continuous- time signal with the uniform sampling period as presented in Figure 1.3. Since is a given quantity, we will use in order to simplify notation.
Is discrete-time sequence sampled from continuous time periodic signal also periodic?
A periodic discrete-time signal satisfies x[n]=x[n+N] for all integers n. The period N is an integer. If you sample a periodic continuous-time signal, you don't necessarily get a periodic sequence.
