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Miha Kralj
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lib/channels/ubands/ubands.md
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| **PineScript** | [ubands.pine](ubands.pine) |
- Ehlers Ultimate Bands replace the conventional SMA foundation of Bollinger Bands with the Ultrasmooth Filter (USF), a 2-pole IIR filter with zero o...
- Parameterized by `period` (default defaultperiod), `multiplier` (default defaultmultiplier).
- Output range: Tracks input.
- Requires `period` bars of warmup before first valid output (IsHot = true).
- **Similar:** [BBands](../bbands/bbands.md), [SDChannel](../sdchannel/sdchannel.md) | **Complementary:** RSI for overbought/oversold | **Trading note:** Uncertainty bands; statistical confidence intervals around a moving average.
- Validated against TA-Lib, Skender, and Tulip reference implementations where available.
Ehlers Ultimate Bands replace the conventional SMA foundation of Bollinger Bands with the Ultrasmooth Filter (USF), a 2-pole IIR filter with zero overshoot and minimal lag. Band width is determined by the RMS (Root Mean Square) of residuals between price and the smoothed centerline, providing a mathematically rigorous deviation measure that makes no assumptions about the distribution of returns. The USF is a recursive filter requiring O(1) computation per bar, while the RMS calculation scans the lookback window at O(n) per bar.