Discrete

Reason of effect of continuity and discreteness on periodicity of signal?

Reason of effect of continuity and discreteness on periodicity of signal?
  1. What is the condition for periodicity of discrete-time signal?
  2. What is the relationship between continuous-time signals and discrete-time signals?
  3. What is the relation between continuous and discrete-time system?
  4. What is continuous and discrete signal?

What is the condition for periodicity of discrete-time signal?

A discrete-time signal is periodic if there is a non-zero integer p ∈ DiscreteTime such that for all n ∈ DiscreteTime, x(n + p) = x(n).

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 continuous and discrete signal?

A signal is considered to be a continuous time signal if it is defined over a continuum of the independent variable. A signal is considered to be discrete time if the independent variable only has discrete values.

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