What Do Vertical Lines in Signal Graphs Represent?

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SUMMARY

The discussion clarifies the representation of vertical lines in signal graphs, specifically in the context of the Theory of Signals course. The first graph represents a continuous time continuous value signal. The second graph, a discrete time continuous value signal, uses vertical lines for visual clarity, created using the MatLab function stem(x,y). The third graph illustrates a continuous time discrete valued signal, where vertical lines indicate jumps between values. The fourth graph depicts a discrete time discrete valued signal. Understanding these distinctions is crucial for interpreting signal representations accurately.

PREREQUISITES
  • Understanding of continuous and discrete signals
  • Familiarity with signal sampling and quantization
  • Basic knowledge of MatLab for plotting signals
  • Concept of time-domain representation in signals
NEXT STEPS
  • Research MatLab's stem function for plotting discrete signals
  • Study the differences between continuous and discrete time signals
  • Explore the process of signal sampling and quantization
  • Learn about time-domain vs frequency-domain analysis in signals
USEFUL FOR

Students in signal processing courses, educators teaching Theory of Signals, and anyone interested in understanding the graphical representation of signals in engineering and mathematics.

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So I am 2nd year now and we started this new course Theory of Signals.

Already I bumped into a wall when it came to understand basic stuff.

Here is what I mean
[PLAIN]http://pokit.org/get/0864633c869b647116b980428a07d4f1.jpg

Here we have 4 functions, each representing one type of signal.

1st one I understand. Its a continuous function, defined at every point.

2nd one reminds me of a plotted sequence. But the thing that confuses me is that vertical line connecting abscissa and the value of the signal.

Does that line represent something? Or is it just for visual purpose?

Same question for the 3rd graph. It is even more confusing. It goes zig-zag. Again what do those vertical lines connecting 2 parts of graph represent?
 
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These are the four types of signals:
1st one you got right, continuous time continuous value
2nd one is a discrete time continuous value. The lines are just there to make it easier to see at what time each point represents. In MatLab you make those plots by using stem(x,y).
3rd one is a continuous time discrete valued signal. The vertical lines just represent a jump from one value to another. The signal really is just the horizontal lines, but when you plot it the software connects the data points so you get those jumps.
4th is a discrete time discrete valued signal.

Discrete time signals can be obtained by sampling continuous time signals.
Discrete value signals can be obtained by quantization of a continuous valued signal.
 
Thank you for clearing this confusion for me. I just finished with my math class and I still have my math goggles on. That is why I found this confusing.
 

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