Discussing the article: "The Hilbert Spectrum in MQL5 — Live Time-Frequency-Energy Visualization of Market Cycles"

[MetaQuotes]

Check out the new article: The Hilbert Spectrum in MQL5 — Live Time-Frequency-Energy Visualization of Market Cycles.

The article guides you through building a real‑time Hilbert Spectrum indicator in MQL5: EMD produces IMFs, a discrete FIR Hilbert transform yields analytical signals, and a CCanvas renderer draws a time–frequency–energy heatmap. Implementation details include extrema detection, SD stopping, phase unwrapping, Nyquist clipping, and bin accumulation. Use the panel to identify active cycle bands and regime shifts while keeping trade rules separate.

Look closely at almost any price chart and you will usually find more than one cycle running underneath it. A five-minute XAUUSD chart can carry a fast scalping-speed oscillation, a slower intraday swing, and an even slower multi-day drift, all stacked on top of each other and disguised as a single jagged line. Traditional tools force you to pick one lens at a time: a short moving average shows you the fast wiggle but hides the slow one, a long moving average does the opposite. What if you could see all of the cycles at once, watch their frequencies and energy shift in real time, and catch the moment a market rotates from a choppy, high-frequency regime into a smooth, low-frequency trend?

That is exactly what the Hilbert Spectrum gives you. It comes from the Hilbert-Huang Transform (HHT), which has two parts: Empirical Mode Decomposition (EMD), which peels a signal apart into a handful of oscillatory components without assuming any fixed basis functions the way Fourier analysis does, and Hilbert Spectral Analysis (HSA), which converts each of those components into an instantaneous frequency and energy reading at every bar. Stack those readings up over a rolling window and you get a live time-frequency-energy surface - the Hilbert Spectrum - painted directly on your chart.

Author: Olamide Daniel Adebayo