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Main role
The filter, as its name implies, is a device that filters the waves. Wave is a very broad physical concept. In the field of electronic technology, "wave" is narrowly confined to describing the process of fluctuating the value of various physical quantities with time. The process is transformed into the time function of voltage or current through all kinds of sensors. It is called the time waveform of all kinds of physical quantities, or it is called signal. Since the time of the independent variable is' continuous', it is called a continuous time signal and is used to call it a Analog Signal. With the emergence and rapid development of the technology of digital computer (generally referred to as computer), in order to facilitate the processing of signals by computers, a complete theory and method of transforming continuous time signals into discrete time signals under the guidance of sampling theorem are generated. That is to say, can only use the original analog signal samples in a series of discrete time coordinate values on the expression of the original signal without losing any information, wave, waveform and frequency of these concepts is the expression of a variety of changes since the objective physical world of nature, is a modern society depends on the survival of all kinds of information carrier. The information needs to be transmitted, which is the transmission of the waveform signal. Every link of signal generation, transformation and transmission may be distorted due to the existence of environment and interference. Even in quite a lot of cases, the distortion is very serious, so that the information and the information it carries is deeply buried in the noise.
Response type
Butterworth response (the most flat response)
The Butterworth response can maximize the pass band flatness of the filter. The response is very flat, close to the DC signal, then slowly decays to the cut-off frequency point -3dB, and finally approaches the attenuation rate of -20ndB/decade, where n is the order of the filter. The Butterworth filter is especially suitable for low frequency applications, which is very important for maintaining the flatness of the gain.
Bessel response
In addition to changing the amplitude of the input signal that depends on the frequency, the filter will also introduce a delay to it. The delay makes the frequency based phase shift produce non sinusoidal signal distortion. Like Butterworth's response to maximizing the flatness of the band, the Bessel response minimizes the phase nonlinearity of the passband.
Chebyshev response
In some applications, the most important factor is the filter truncated the speed of unnecessary signals. If you can accept a band with some ripples, you can get a faster attenuation than the Butterworth filter. Appendix A contains a table for the parameters designed for up to 8 orders of Butterworth, Bessel, and schibershev response filter. The two form is used for the Chebyshev response: one for the 0.1dB maximum passband ripple>

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