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1982issue C031-10

Cycle phase windows for chart signal filters

A cycle-phase overlay can sit on graphic buy and sell marks a reader already plots. A working period projects a phase-permission window, and only marks near the matching trough or crest neighborhood are kept.

  • Use a cycle-phase overlay only on charts that have a horizontal time axis and already show graphic buy and sell marks, including oscillator plots.
  • Build a working period from recently completed trough-to-trough spans, then treat the two-unit time zone around the projected date as the phase-permission window.
  • Keep graphic buy marks only near a recognized major-cycle trough and graphic sell marks only near a recognized major-cycle crest.
  • A print-extreme trough can differ from a projection-aligned trough, and oscillator marks may sit on the expected shape even when that date is not identical to the bar-chart date.
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A filter for marks already on the chart

The archive describes a cycle-phase overlay that can be used with most charting approaches that already produce graphic buy and sell marks, including oscillator plots. It is not used with chart formats that omit a horizontal time axis.

Price series are treated as nested cycles. The timing task isolates the most visible cycle on a daily chart in order to decide which graphic signals to keep and which to ignore.

What a trough or midcycle crest is said to allow

After a trough of a well-chosen major cycle, prices are described as able to rise even in a broader bear regime. After a midcycle crest they are described as tending to decline by a small, large, or negligible amount, with the size depending on bull, bear, or sideways conditions.

Working period and the phase-permission window

One projection procedure builds a working period by averaging a short stack of the most recently completed cycle periods, extends that average forward from the latest established trough, and marks a two-unit time zone around the projected date.

That band is the phase-permission window used to decide whether an existing graphic signal is in phase. Measured cycle periods are allowed to lengthen or shorten gradually. Period drift is expected as new completed cycles are added, and spans are not required to stay a fixed number of days.

Daily substitutes and two kinds of trough

A single daily value can replace a full price bar. The archive allows a mean session price or a weighted composite price.

Resting orders at a fixed price can distort bar extremes. A print-extreme trough is the lowest low inside a local bar-chart section, and it need not match a projection-aligned trough, which is the low nearest a previously projected turning date.

Projecting a midcycle crest

A midcycle crest date is projected with an inner-span sum. Recent first-inner-cycle spans are averaged, recent second-inner-cycle spans are averaged, those two averages are added, and the sum is extended from the latest daily small trough or weekly large trough.

Which graphic marks to retain

Graphic buy marks are retained only on or within a few days of a recognized major-cycle trough. Graphic sell marks are retained only on or within a few days of a recognized major-cycle crest.

Weekly history and horizon clustering

A multi-year weekly high-low-close history is used to estimate a dominant trough-to-trough interval. Horizon clustering stacks many historical trough-to-trough gaps so the most common measured length becomes visible.

If a weekly working chart cannot begin immediately after that history, it should start earlier, after enough completed cycles to set the working segment.

The archive also presented market-specific daily and weekly lengths as contemporary observations for that market, not as universal constants.

Oscillator and momentum placement

On oscillator or momentum plots, troughs and midcycle crests are placed where the line shows the expected shape on or within a few days of the projected date, even if that date is not identical to the matching bar-chart date.

If no clear shape appears, the mark may be left at the center of the predicted time zone because a longer cycle can mask the watched cycle.

Educational research material, not investment advice. Historical source context does not establish present-day performance.
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19871-6 pp.Next on Dominant cycle detectionConstructing a cycle-scaled trend oscillatorHorizon is chosen by sampling interval before any lookback is set: daily for a few days to a few weeks, weekly for horizons longer than six months, and mixed daily-weekly for medium horizons.
All readings on this track · 31 readings
  1. 1982Cycle phase windows for chart signal filters
  2. 1987Constructing a cycle-scaled trend oscillator
  3. 1987Constructing a dominant-cycle grid from marked lows
  4. 1988Cycle lead from staggered exponential averages
  5. 1988Auditing the forty-month stock-price cycle
  6. 1989When long-wave dominant cycles cannot be disproved
  7. 1991Half-cycle average plot shift versus cycle attenuation
  8. 1991Half-cycle average contact as an amplitude-ratio test
  9. 1993Building a restoring-pull indicator from cycle frequency and volume
  10. 1995Regime filters for a dominant long wave
  11. 1995A cycle-tuned lead filter from bounded oscillators
  12. 1998Testable cycle rules instead of fear and greed
  13. 1999Nested Euro cycle timing as one checkable procedure
  14. 2002Constructing an instantaneous trendline from a dominant cycle
  15. 2002Half-cycle center of gravity oscillator from moving-average balance
  16. 2004Testing a locked forty-week cycle with a hold-or-sit-out rule
  17. 2005Nested timing bands for dominant-cycle confirmation
  18. 2005Dominant-cycle baselines versus policy-news narratives
  19. 2006Pairing a dominant-cycle horizon with trend and oscillators
  20. 2006A dominant-cycle split into a trend filter and residual Relative Strength Index
  21. 2007Construct a momentum difference from the dominant cycle
  22. 2007Naive dominant-cycle rules fail without crowd tests
  23. 2012Constructing a dominant-cycle forecast as a timing window
  24. 2012Open-parameter construction of dominant-cycle baselines
  25. 2013Using a second-term election to check a predeclared dominant-cycle forecast
  26. 2014Constructing a dominant-cycle forecast baseline
  27. 2014Quotient transform as an early-onset trend filter
  28. 2014Construct a trough-to-trough cycle map with the Detrended Price Oscillator
  29. 2015Dominant-cycle alignment before an earnings catalyst
  30. 2017Causal reverse exponential average for cycle and trend
  31. 2020Constructing a cycle-plus-trend oscillator from a one-wavelength chord
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