Below please find a slide explaining the purpose and operation of TA.
Some detail description on TA can be found under these links:
http://4g-university.com/recent-answers/in-the-connected-mode-when-ue-is-transmitting-and-receiving-the-data-is-there-a-mechanism-for-the-enb-to-tell-the-ue-that-it-needs-to-adjust-the-timing/
http://4g-university.com/recent-answers/what-is-the-timing-advance-granularity-i-e-the-minimum-step-by-which-the-ue-can-adjust-the-timing/
Description on page 28, section 4.3.2.3 Timing Advance
http://pl.scribd.com/doc/59353976/18/Timing-Advance,
During the calculation of Timing Advance in LTE, we use to take granularity of 0.52 microseconds(16Ts). Is there any specific reason behind that.