Ergodic Oscillator

What is the Ergodic Oscillator?

The Ergodic Oscillator comes from William Blau's double-smoothing framework for momentum. Blau took one-bar price change, smoothed it twice with EMAs, and divided by the equally double-smoothed absolute price change, scaling the bounded ratio to plus or minus 100; that construction is his True Strength Index, and 'ergodic' is the label he gave indicators built this way. In the commonly charted form (often named SMI Ergodic) the ergodic line is paired with a signal line, an EMA of the ergodic, and the 'oscillator' variant plots the difference between the two as a histogram.

Platform naming is inconsistent: the same construction appears as TSI, Ergodic, or SMI Ergodic, and despite that last label it is distinct from Blau's Stochastic Momentum Index, which measures the close against the midpoint of the high-low range instead. What defines the family is the mechanism: double smoothing strips most bar-to-bar noise, and normalizing by absolute momentum keeps the output bounded, so zero-line position tracks net direction while signal-line crossings mark momentum turns with modest lag.

How traders use it

• Signal-line crossings as momentum triggers: the ergodic line crossing its EMA signal is read much like a MACD cross, typically filtered by zero-line position or a trend gauge to cut counter-trend noise.
• Zero-line regime reads: sustained positive values indicate net upside momentum after heavy smoothing, so the zero cross itself doubles as a slow trend-change cue.
• Divergence analysis: the double smoothing produces clean swing peaks, making divergences between the ergodic line and price extremes easier to spot ahead of potential exhaustion.