Explain timing synchronization algorithms for digital communications.

Timing synchronization determines optimal sampling instant. Methods: Early-late gate (compares samples early/late relative to decision point, simple), Gardner algorithm (timing error from difference of samples around zero crossing, self-timing), Mueller and Muller (uses decisions, works with bandwidth-efficient pulses). For OFDM: Cyclic prefix correlation for coarse sync, pilot-based fine timing. Implementation: Timing error detector drives loop filter controlling interpolator or ADC clock. Interpolation architectures: Polyphase (explicit filters), Farrow (polynomial), and NCO-controlled. Timing jitter directly impacts BER through ISI.