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In the present paper, a simplified two-dimensional magnetic recording (TDMR)channel model is proposed in order to capture the qualitative features ofwriting and read-back processes of TDMR systems.The proposed channel modelincorporates the effects of both linear interference from adjacent bit-cellsand signal-dependent noise due to irregular grain boundaries between adjacentbit-cells. The simplicity of the proposed model enables us to derive the closedform of the conditional PDF representing the probabilistic nature of thechannel. The conditional PDF is Gaussian distributed and is parameterized by asignal-dependent covariance matrix. Based on this conditional PDF, a MonteCarlo method for approximating the symmetric mutual information of this channelis developed. The symmetric mutual information is closely related to the arealdensity limit for TDMR systems. The numerical results suggest that we may needlow-rate coding, e.g., 2/3 or 1/2, when the jitter-like noise becomes dominant.

Evaluation of Symmetric Mutual Information of the Simplified TDMR Channel Model