Understanding Steady State Coefficients in Adaptive Filters

In summary, when trying to find the steady state coefficients of a filter, it is important to know the filter architecture and whether it is an adaptive filter. For FIR filters, the steady state can be determined from the design, while for IIR filters it must be extrapolated numerically due to the influence of past values.
  • #1
nikki92
40
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If I am trying to find the steady state coefficients of a filter, when do I know the coefficients went into the steady state? In another words, steady state means it converged to a single value or that it is bounded between values? If say it is bounded between values how would I go about deciding what coefficients to use?
 
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  • #2
Not sure of your filter architecture or what you are really doing. Sounds like an adaptive filter.
 
  • #3
Is this to do with adaptive filters?

Are you wanting starting values for the filter coefficient of an adaptive filter?
Or are you wanting to know the values they take when adapted to a stable situation?

A FIR filter will settle to a steady state in a fixed time. You know how long it will take from the design.

The final steady state of an IIR filter must be extrapolated numerically as it will never quite get to a final value and history will always effect it to some extent.
 

Related to Understanding Steady State Coefficients in Adaptive Filters

What is the steady state of a filter?

The steady state of a filter refers to the point at which the filter has reached a stable and constant output, despite any changes in the input.

Why is the steady state of a filter important?

The steady state of a filter is important because it allows for accurate and consistent filtering of signals or data. It also ensures that the filter is functioning correctly and not introducing any unexpected changes to the output.

How is the steady state of a filter determined?

The steady state of a filter can be determined through mathematical analysis or through experimentation and observation. It is typically represented by a frequency response plot that shows the filter's output over a range of input frequencies.

What factors can affect the steady state of a filter?

The steady state of a filter can be affected by various factors such as the filter's design, input signal characteristics, and external noise. Changes in these factors can cause the filter to reach a different steady state or even become unstable.

Can the steady state of a filter be changed?

Yes, the steady state of a filter can be changed by adjusting its parameters or by using different filter designs. This can be useful in certain applications where a specific output is desired, but it is important to carefully consider the effects of these changes on the filter's performance.

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