How to design an analog filter with arbitrary amplitude-frequency response?

In summary, it is not possible to implement a digital filter using analog circuits due to limitations in phase response and causality. However, there are many resources available for analog filter design, such as tutorials and related papers. Despite its limitations, the low latency and power consumption of analog circuits make it a worthwhile pursuit.
  • #1
zzzhhh
40
1
We can easily design an digital filter with arbitrary amplitude-frequency response, but if we are required to use an analog filter to implement it, how to design? Any suggestion or reference to related paper would be appreciated. Thanks!
 
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  • #2
zzzhhh said:
We can easily design an digital filter with arbitrary amplitude-frequency response, but if we are required to use an analog filter to implement it, how to design? Any suggestion or reference to related paper would be appreciated. Thanks!

Welcome to the PF. I googled Analog Filter Tutorial, and got lots of good hits. Are these what you are looking for?

http://www.google.com/search?source...1T4GGLL_enUS301US302&q=analog+filter+tutorial

.
 
  • #3
zzzhhh said:
We can easily design an digital filter with arbitrary amplitude-frequency response, but if we are required to use an analog filter to implement it, how to design? Any suggestion or reference to related paper would be appreciated. Thanks!

You can't. At least not if you want reasonable phase response. Digital filter are usually implemented as FIR filters whereas analog filters are always IIR filters, the latter are much more limited than FIR and high-order IIR filter have lots of problems.

The reason why you can't implement a FIR filter using analog circuits is that they are not causal, i.e. in order to implement a FIR filter you need some form of memory (buffer) which is impossible using analog circuits (you can of course build a digital circuit using analog components, but what would be the point?).
 
  • #4
Thank you f95toli, although the reply is depressing. But I believe there will be a way out despite these shortcomings against analog filter. After all, analog circuit has low latency and low power consumption, so worth our effort.
Thank you berkeman too.
 

1. What is an analog filter?

An analog filter is an electronic circuit that is used to selectively allow or block certain frequencies in a signal. It is typically used to remove unwanted noise or to shape the frequency response of a signal.

2. What is an amplitude-frequency response?

The amplitude-frequency response of a filter refers to how the filter affects the amplitude of different frequencies in a signal. It is typically represented by a graph that shows how the filter attenuates or amplifies different frequencies.

3. How do I design an analog filter with arbitrary amplitude-frequency response?

To design an analog filter with arbitrary amplitude-frequency response, you will need to use a mathematical model or simulation software to calculate the necessary circuit components. You will also need to have a good understanding of filter design principles and techniques.

4. What factors should I consider when designing an analog filter?

When designing an analog filter, you should consider the desired amplitude-frequency response, the type of filter (e.g. low-pass, high-pass, band-pass), the frequency range, the order of the filter, and the type of components (e.g. active or passive) that will be used.

5. Are there any limitations to designing an analog filter with arbitrary amplitude-frequency response?

Yes, there are limitations to designing an analog filter with arbitrary amplitude-frequency response. These include practical constraints such as component tolerances, noise, and non-idealities in the circuit, as well as theoretical limitations such as the frequency range and order of the filter. Additionally, the complexity of the desired amplitude-frequency response may also affect the difficulty of the design process.

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