Implementation of non-zero initial conditions for multi-notch FIR filter using raspberry Pi

摘要

In this paper a concept of finite impulse response narrow multi-band-stop filter with non-zero initial conditions based on linear Kalman prototype filter is proposed. The FIR multi-notch filter is used for removing power-line interferences from biomedical sources such as ECG. In order to reduce the duration of the transient state of the proposed FIR multi-notch filter, optimal initial conditions for the filter have been determined. The algorithm for finding the length of the initial conditions vector is presented. The proposed filter is tested using sinusoidal and ECG signals. Computer simulations, hardware implementation, and performance indices demonstrate that the proposed FIR multi-notch filter with non-zero initial conditions based on the Kalman prototype filter possesses better properties than the traditional FIR multi-notch filter.