Modeling the Lorentzian magnetic recording channel with transition noise

This paper derives closed-form expressions for modeling a magnetic recordin g channel with transition noise. The closed-form expressions assume matched filtering, a Lorentzian transition response, and a first-order position ji tter and width variation model. The result is a model that is straightforwa rd and easy to use for simulation and analytical purposes. From the model, equations are derived for partial response targets of constrained length th at minimize mean squared error in the presence of transition noise. Simulat ion results for the resulting targets in various transition noise environme nts are also included, along with a discussion of the results.