Filter design
signal processing design process

Filter design is the process of designing a signal processing filter that satisfies a set of requirements, some of which may be conflicting. The purpose is to find a realization of the filter that meets each of the requirements to an acceptable degree.
The filter design process can be described as an optimization problem. Certain parts of the design process can be automated, but an experienced designer may be needed to get a good result.
The design of digital filters is a complex topic. Although filters are easily understood and calculated, the practical challenges of their design and implementation are significant and are the subject of advanced research.
Typical design requirements
Typical requirements which may be considered in the design process are:
Frequency response
Phase shift or group delay
Impulse response
Possible causal filter requirement
Possible stable filter requirement
Possible finite impulse response requirement
Computational complexity
Technology required
The frequency function
The required frequency response is an important parameter. The steepness and complexity of the response curve determines the filter order and feasibility.
A first-order recursive filter will only have a single frequency-dependent component. This means that the slope of the frequency response is limited to 6 dB per octave.
The public source identifies “Filter design” as signal processing design process. This brief keeps that definition visible, then builds a research path around Filter, design and signal.
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