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

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Discussion Overview

The discussion revolves around the design of analog filters with arbitrary amplitude-frequency responses, particularly in contrast to digital filters. Participants explore the feasibility of implementing such designs in analog circuits and seek references or suggestions for further reading.

Discussion Character

  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant notes that while digital filters can be designed with arbitrary amplitude-frequency responses, achieving this with analog filters poses challenges.
  • Another participant suggests that reasonable phase response is difficult to maintain when using analog filters, which are typically IIR filters, unlike FIR filters used in digital implementations.
  • A participant argues that FIR filters cannot be implemented in analog circuits due to their non-causal nature, which requires memory elements that are not feasible in analog designs.
  • One participant expresses optimism about the potential of analog filters despite their limitations, citing advantages such as low latency and low power consumption.

Areas of Agreement / Disagreement

Participants express differing views on the feasibility of designing analog filters with arbitrary amplitude-frequency responses. While some acknowledge significant limitations, others maintain that there may still be viable approaches worth exploring.

Contextual Notes

The discussion highlights the dependence on the definitions of filter types and the implications of causality in filter design. The limitations of analog filters in achieving certain responses compared to digital filters are also noted.

zzzhhh
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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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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

.
 
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?).
 
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.
 

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