Low-pass filter and High-pass filter

This post describes low-pass filters and high-pass filters.

Low -pass filter

A low-pass filter (LPF) is a filter that passes only low-frequency signals and attenuates high-frequency signals.

Purpose:

  • Noise Reduction
  • Smoothing of analog signals
  • Anti-aliasing before sampling

Calculation Formula: y[n] = αx[n] + (1-α)y[n-1] α range 0 to 1.0

High-pass filter

A high-pass filter (HPF) is a filter that removes low-frequency components from a signal while retaining high-frequency components.

Purpose:

  • Offset removal for accelerometers
  • DC offset removal of audio signals
  • Control System Fluctuation Detection

Calculation Formula: y[n] = α(y[n-1] + x[n] – x[n-1])  α range 0 to 1.0

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