Information rates of multidimensional front-ends for digital storage channels with data-dependent transition noise

A new simulation-based method to evaluate the information rates of multidimensional front-ends applied to digital storage channels with transition noise is presented. First, we propose an algorithm which extends recent work on the information rates of magnetic recording channels affected by colored Gaussian thermal noise, intersymbol interference and signal-dependent transition noise, by using linear prediction and state reduction techniques. Moreover, following a previous study on statistical sufficiency, we extend this algorithm to magnetic channels with a multidimensional front-end. The results suggest that significant gains may be achievable by multidimensional signal processing techniques in transition-noise limited digital storage channels.