Cmt learning objective 14 applied cycle analysis

This document discusses various methods of cycle analysis and identification. It covers: - Common cycle concepts like amplitude, period, and phase - Principles of cycles like summation, harmonicity, synchronicity, and proportionality - Major historical cycles like Kondratieff waves (50-60 years), 34-year cycles, and decennial patterns - Common shorter cycles like the 4-year presidential cycle and seasonal patterns - Methods for identifying cycles including removing trends, triangular weighting, Hilbert transforms, Fisher transforms, cycle channel indexes, and short cycle indicators - The concept of phasing cycles to represent their synchronization