About bode plot horizontal axis question

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SUMMARY

The horizontal axis of a Bode plot represents the frequency in radians per second (w rad/sec) on a logarithmic scale. This means that the values are not evenly spaced; instead, they follow a logarithmic progression, such as 0.1, 1, 10, and 100, which correspond to 10^-1, 10^0, 10^1, and 10^2 respectively. In MATLAB, Bode plots utilize scientific notation to illustrate these values clearly. Therefore, when searching for w=10 rad/sec on the plot, one should refer to the logarithmic value of 1, as log10(10) equals 1.

PREREQUISITES
  • Understanding of Bode plots and their significance in control systems.
  • Familiarity with logarithmic scales and their applications in engineering.
  • Basic knowledge of MATLAB for generating Bode plots.
  • Concept of frequency in radians per second (rad/sec).
NEXT STEPS
  • Explore MATLAB's Bode plot functions and their parameters.
  • Learn about the implications of logarithmic scales in signal processing.
  • Study the relationship between frequency and phase in control systems.
  • Investigate other plotting techniques for frequency response analysis.
USEFUL FOR

Engineers, control system designers, and students studying signal processing or control theory will benefit from this discussion, particularly those working with Bode plots and frequency response analysis.

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I have a question

I'm wondering in bode plot

we write the horizontal axis w rad/sec

what does this mean?
is it normal scale 0.1 0.2 0.3 ... etc with equal distances?? it's clear not because it's drwan on semilog paper

if it's the horizontal log w

why then we write 0.1 ,0.2 ,,1 , 10... etc?
we should then write the logaritmic value corresponding -1 ,0 , 1 ...

what's the horizontal axis?

* if i want to see w=10 rad/sec
I'll search at horizontal corresponding to w=10 ?
or I will serrch the horizontal on w=1? "log 10=1"?

waiting answer
thanks in advance
 
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