Constructing a zero-lag oscillator against a relative strength index baseline

The relative strength index as the baseline

The relative strength index is a bounded momentum oscillator built from a fixed lookback on ordered price changes. In the historical workflow it is the explicit baseline construction against which a lower-lag alternative is assembled.

The baseline keeps the starting lookback in view while the alternative is rebuilt. What changes next are the lag relative to the sampled series, the memory assumption placed on those observations, the band-edge cutoff, and the sampling interval.

Pink noise, white noise, and memory

An oscillator can be constructed to issue signals on market series described as having pink-noise properties rather than white-noise properties.

Pink noise is treated as distinct from white noise because the observations are said to carry memory, and that memory is presented as a possible basis for a short-horizon model. White noise is a description of a series in which successive observations are treated as uncorrelated, with no usable short-horizon memory.

Near-zero lag, band edge, and sampling interval

The construction is described as a general-purpose oscillator intended to operate with near-zero lag relative to the underlying series. A zero-lag oscillator aims to keep turning points aligned with the sampled series instead of trailing it.

Band edge is the cutoff parameter that sets which frequencies the oscillator is built to emphasize on a chosen sampling interval. Sampling interval is the bar length on which ordered prices are observed when the oscillator is computed. Those two choices are assembled together with the memory assumption, rather than being added after a forecast is already in place.

Illustrated sampling choices

One illustrated application uses a 30-minute sampling interval on a major equity-index series. One illustrated application uses a band-edge setting of 50 on daily single-name price data. One illustrated application places the oscillator under a daily candle chart of a currency pair.

The illustrations show the same construction on different bar lengths and markets. They document how the oscillator was displayed, not a completed forecast test.

Four columns and packaged code

A spreadsheet reconstruction is described as requiring four columns of cell formulas. The same construction was packaged as downloadable indicator or library code for several charting environments in that issue cycle.