Digital Filters

When an Embedded system reads data from sensor, someting

High-Pass Filter

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The Exponential Moving Average (EMA) is one of the most used indicators in technical analysis today.

${S_t} = \left\{ \begin{array}{l} {m_1}, & \to t = 1\\ \alpha \cdot {m_t} + (1 - \alpha ) \cdot {m_{t - 1}} & \to t > 1 \end{array} \right.$

Where

S_t is the result of the EMA at time t
m_t is the measurement from the sensor at time t,
α is a coefficient in the range <0,1> that decides how many samples the EMA algorithm should take into account.
- A low α will be very slow to rapid input changes and takes many samples into account.
- A high α will be fast, but the average over fewer samples.

The most common way to initialize

Reference