Two-dimensional signal processing for timing recovery using PLLs for storage channels

We propose two timing recovery methods and architectures for two-dimensional magnetic recording (TDMR) channels. The first architecture is based on a 2D phase-locked loop (PLL) for jointly estimating the position and timing errors in the x and y directions. The second approach is based on two coupled 1D PLLs acting separately in the x and y directions. We analyze the convergence of the timing estimates analytically and evaluate the efficacy of our proposed methods through simulations.