Understanding Bitcoin’s cyclical behavior benefits from formal methods like the Hilbert Transform Dominant Cycle Period (HTDCP), particularly when analyzing new cycles that do not strictly align with the traditional four-year halving rhythm.
The Hilbert Transform is a mathematical operator used in signal processing to extract the instantaneous phase and amplitude of a time series, such as Bitcoin prices. In the context of market cycles:
- Purpose: It transforms real-valued price data into an analytic signal, enabling you to separate trend-following behavior from cyclical oscillations.
- How it works: For a price series \(x(t)\), the Hilbert Transform \(H[x(t)]\) produces a quadrature component \(y(t)\) forming a complex analytic signal: