The RUBBER_SHEET ANALOGY(magnitude of frequency response)

[kennyg]

Allen R. Hambley's book says

"
Beside Bode-plot,
there is a simple analogy useful in obtaining a rough estimate
of the magnitude of the frequency response of a system for which
the pole and zero locations are known.



Imagine an elastic sheet of rubber that cover the complex s-plane.
Nail the sheet down at each zero location.
Place a high,thin vertical post under the sheet at the location of each pole.
Possibly the transfer function has poles or zeros at s=∞(Real-world amplifiers
have one or more zeros at s=∞.
Now a plot of the height of the sheet versus distance along the jw-axis is the same as the magnitude of the transfer function versus w.
"


Why?

English is not my mother-tongue.
I can't realise how this works.
My imagination is limited.

Can somebody explain it clearer?
Help!

 

[flatulent]

Re: The RUBBER_SHEET ANALOGY(magnitude of frequency response

This is a very old idea that was presented in the amplifier book by Malcolm McWhorter around 1970 and goes back before that.

The equation for the height of the elastic sheet is identical to the amplitude of the polynomial. I understand this was joking called McWhorter's rubber by his students. (In the US rubber is a slang term for a sexual accessory that is worn by the man.)

Imagine a mechanical version of the S plane and sticks pointing upward and placed at the pole frequencies. A rubber sheet is placed over them and nailed to the base at the zero frequencies.

 

[XNOX_Rambo]

Re: The RUBBER_SHEET ANALOGY(magnitude of frequency response

You may also use the circus tent analogy. Check it out in this document:
**broken link removed**