We are performing a cross-spectrum analysis of GPS, X-Shaped, and Double-Double radio sources in order to learn more about the evolution and life-cycle of radio galaxies. Our investigation of these galaxies will provide insight into unanswered questions such as: why there is repetitive activity in these galaxies, what determines the conditions of the dormancy period, and how different types of black hole and galaxy mergers and star formations are associated with the different types of radio sources.