Under what conditions is there a one-to-one mapping between continuous-time and discrete-time signals?

1. What is the relationship between continuous-time signals and discrete time signals?
2. What is the relation between continuous and discrete time system?
3. What is the key difference between discrete time and continuous time?

What is the relationship between continuous-time signals and discrete time signals?

A continuous-time signal has values for all points in time in some (possibly infinite) interval. A discrete time signal has values for only discrete points in time. Signals can also be a function of space (images) or of space and time (video), and may be continuous or discrete in each dimension.

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.

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.