Filter roll off rate

Thread Starter

Homebrew1964

Joined Nov 22, 2024
161
I was just experimenting with filters and built the first order Low pass one in the schematic, it works as expected reducing the amplitude of the waveform from
5V p-p to 3V p-p over a frequency range of 150kHz...is there a way to get a steeper roll off so i can get say the same reduction in waveform over 50kHz or do i need a different type of filter?
 

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AnalogKid

Joined Aug 1, 2013
12,093
In Electrical Engineering, filters are a huge topic of mathematics and circuit design. As above, a steeper rolloff requires more stages. But those stages can interact with each other to either enhance or degrade the overall filter performance. And you can get into more subtle effects - Compared to the simple Butterworth filter, a Bessel filter has a much "rounder" transition from the flat response frequencies to the attenuated frequencies; but it also has much better group delay and "phase response".

Deep down filter design involves poles, zeros, Laplace transforms, and things like gyrators. And complex numbers. The innergoogle is full of sites, from pre-programmed calculators and cookbooks to some of the scariest math in the discipline; some of it dating back to the 1800's, decades before the invention of the vacuum tube.

I'm not trying to scare you off; I think this is fascinating stuff and I'm still learning. Welcome to the party.

https://en.wikipedia.org/wiki/Butterworth_filter

ak
 
So I can't create an illustration as fast as others ;)

Things you need to know about filters:

The cutoff frequency is:

f = 1/(2πRC) where

f = frequency in Hz

R = resistance in Ohms

C = capacitance in Farads

At the cutoff frequency, the level will be reduced by 3dB.

The SLOPE of the filter depends on the number of poles. For a simple RC filter, the slope is 6dB per octave or 20dB per decade.

If you question my filter knowledge, feel free to consult my patent, below.


single pole filter response.jpg
 

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Thread Starter

Homebrew1964

Joined Nov 22, 2024
161
ok i built the 2nd order low pass RC filter and.....HUGE difference compared to the 1st order one from yesterday, very steep roll off in comparison.

I'm finding my journey into the world of electronics very exciting :D
 

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ericgibbs

Joined Jan 29, 2010
21,421
hi Hb,
I see that you are using LTSpice to draw your RC circuit.
I realise you are still learning LTS, but I thought you would like to see your circuit being simulated.
If you need any explanation, just ask.
E
EEG 2103.jpgEG 2104.jpg
 

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LvW

Joined Jun 13, 2013
2,019
In exchange for allowing a controlled amount of ripple in the passband, a Chebyshev filter has a steeper rollof for a given order.
Steeper rollof than....?
I think, the rollof - that is the slope of the magnitude far above the pole frequency - is determined by the order of the transfer function only (as demonstrated in post#2), independent on the approximation (Butterworth, Chebyshev, Thomson-Bessel,...).
However, in comparison to a Butterworth response, the Chebyshev response provides more attenuation in the transition region between the passband and the stopband.
 

Thread Starter

Homebrew1964

Joined Nov 22, 2024
161
hi Hb,
I see that you are using LTSpice to draw your RC circuit.
I realise you are still learning LTS, but I thought you would like to see your circuit being simulated.
If you need any explanation, just ask.
E
EView attachment 367339View attachment 367340
Thanks very much Eric, interesting to see the result of my filter in a graph, i havn't got to doing simulations yet, i am still assembling and testing on breadboard.

thanks again.
 
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