Bode plot - transition between low and high freq...

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powersys

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I don't understand why w=z is said to the 'transition point' between low and high frequencies. Why not w=0.9z or w=1.1z? Pls advise. Thanks.
 

I think the transition point corresponds to the 3dB point of the log magnitude.
This is where the gain drops to \[1/\sqrt{2}\] of the flat band value.
This is also known as the half-power bandwidth.

Take for example a lowpass filter with transfer function
\[\frac{1}{1+s/z}\] with the transition point
is at \[\omega=z\]. At low frequencies the gain is 1 (0dB) and at
frequencies above \[\omega=z\], the gain will fall at -20dB/decade.
At the transition frequency the gain will be -3.01dB (-3dB).
Half of the spectral power content will be contained at frequencies below \[\omega=z\].
By the way, in constructing asymptotic Bode plots (straight lines) the term "break frequency" sometimes gets used to describe this frequency. The term "corner frequency" is also used. Many names for the same thing.

I hope that this helps you out.

Best regards,
v_c
 

    powersys

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