Time Synchronous Average (TSA) is an essential algorithmic tool for determining the condition of rotating equipment. Given its significance to diagnostics, it is important to understand the algorithms performance characteristics. This paper addresses four topics in relation to the TSA performance characteristics. The first topic is the evaluation of the performance (measured against gear fault detection) of 6 different TSA algorithms. The second topic is quantifying the ergodicity/noise reduction as a function of the number of revolutions in the TSA and show that noise reduction is 1/sqrt(number of revolutions). The third topic examines TSA techniques when no tachometer signal is available.The final topic shown is the distribution of the magnitude of TSA orders associated with fault and nominal components are Rice and Rayleigh distributed.