US Patent 7330524 Joint synchronization and impairments estimation using known data patterns

Synchronization and impairment estimations can be performed jointly, thereby saving valuable time for decoding of the received packet. An initial synchronization in a TDMA system can be performed. Using this synchronization, the frequency offset choices and timing offset choices can be advantageously bounded within predetermined ranges. At this point, an algorithm can find the minimum error that gives the best frequency offset choice and timing offset choice combination over their respective ranges, together with the estimates of the signal magnitude and phase and at least one of a DC offset magnitude and phase, and a spur magnitude and phase.