How Do You Sketch x[2n] from a Discrete Signal?

In summary, a discrete time signal is a type of signal that is defined only at specific points in time, represented by a sequence of numbers or values measured at equally spaced intervals. It differs from a continuous time signal in that it is only defined at specific points and has a finite set of values. Common techniques for sketching discrete time signals include graphing, stem plots, and tables. The frequency of a discrete time signal can be determined by counting the number of cycles within a time interval. This type of signal is commonly used in signal processing, digital communications, and control systems for analyzing data, designing filters, and modeling and controlling dynamic systems.
  • #1
Huumah
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0
Discrete signal x[n] is shown in the first picture. Sketch x[2n]

LQSkztR.png



Answer
QQXy9nu.png


Can anyone ecplain why x[2n] is like that. I can understand how to plot it if i have a continuous time signal
 
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  • #2
On the second picture's x axis, n = 2n of the first picture's x axis.
 

Related to How Do You Sketch x[2n] from a Discrete Signal?

1. What is a discrete time signal?

A discrete time signal is a type of signal that is defined only at specific points in time. It is represented by a sequence of numbers or values that are measured at equally spaced intervals.

2. How is a discrete time signal different from a continuous time signal?

A continuous time signal is defined at every point in time, while a discrete time signal is only defined at specific points. Additionally, a continuous time signal can take on any value, while a discrete time signal is restricted to a finite set of values.

3. What are some common techniques for sketching discrete time signals?

Some common techniques for sketching discrete time signals include plotting the values on a graph, using a stem plot, or using a table to list the values at each time point.

4. How can I determine the frequency of a discrete time signal from its sketch?

The frequency of a discrete time signal can be determined by counting the number of cycles within a given time interval. The frequency is equal to the number of cycles divided by the time interval.

5. What are some real-world applications of sketching discrete time signals?

Sketching discrete time signals is commonly used in fields such as signal processing, digital communications, and control systems. For example, it can be used to analyze and design filters, detect patterns in data, and model and control dynamic systems.

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