Classification of digital filters

　　Digital filters can be classified in many ways, but generally can be divided into two categories. One kind of filter is called classical filter, that is, the general filter, which is characterized by the useful components in the input signal and the components that want to be filtered occupy different frequency bands, and the filtering can be achieved by the appropriate frequency selection filter.

　　For example, if there is interference in the input signal, and the frequency bands of the signal and the interference do not overlap, the interference in the signal can be filtered out to obtain a pure signal. However, if the frequency bands of signal and interference overlap each other in the input signal, the interference cannot be effectively filtered out.

　　The other class is called modern filter, such as Wiener filter, Kalman filter, etc., whose input signal overlaps the useful signal and the desired frequency band component. For classical filters, from the frequency domain can also be divided into low-pass, high-pass, band-pass and band-stop filters.

　　From the perspective of time domain characteristics, digital filters can also be divided into FIR (finite impulse response) digital filters and IIR (infinite impulse response) digital filters [5].

　　For a finite impulse response (FIR) digital filter, the output y(n) depends only on a finite number of past and present inputs,

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