The impulse response of the digital low-pass filter is determined by taking the Inverse Fourier transform of the desired frequency response. The Window-Sinc method is used to design a digital LPF. The equation for the Digital low-pass filter is
$$y[n]=\sum^{M-1}_{j=0}h[j]\cdot x[n-j]$$
The filter input is shifted for each element in the filter length. This can be very difficult to do efficiently and could slow down the filter to the point where it won’t work but this can be alleviated with a ring buffer.
[[Digital Low-Pass Filter Frequency Response]]
[[Inverse Fourier Transform]]
[[Window-Sinc Method]]
[[Accelerometer]] – typically uses digital low-pass filters.
[[Exponential Moving Average Filter]]
[[Linearizing a MEMS Gyroscope Model]] – uses a digital low-pass filter
[[Biquad IIR filters]] – can be used to implement a digital low-pass filter
[[Dynamic SMC approach]] – insert a low-pass filter / integrator between the controller and the plant
Sources
- Phil’s Lab, FIR Filter Design and Software Implementation – Phil’s Lab #17, (Dec. 20, 2020). Accessed: Jan. 02, 2023. [Online Video]. Available: https://www.youtube.com/watch?v=uNNNj9AZisM
Backlinks
[[Filtering Air Data System Measurements]]
FIR Filters
[[Low-pass Filters]]
[[Ring Buffer]]