This T1 Technical Report documents the theoretical and analytical work examining the effects that Synchronous Optical NETwork (SONET) phase characteristics have on the existing telecommunication network. This Report analyzes the pointer and asynchronous payload mapping schemes described in ANSI T1.105-1988. Pointers accommodate synchronous network characteristics while SONET asynchronous payload mapping schemes accommodate existing network characteristics. These analyses were developed by the T1X1.6 Tributary Analysis Working Group of ANSI Accredited Standards Committee T1 (Telecommunications). Existing network output jitter requirements are insufficient to constrain SONET payload output jitter. Considerations for a SONET payload output jitter specification based on this report are located in Appendix A for information.