A closed-form MR tape head PES model

A closed-form phenomenological expression for the convolution of a MR head microtrack profile with a written track profile is derived. Trapezoid shape s with unequal skirt widths are used to approximate both the MR head microt rack profile and the written track profile. The crosstrack profile model re sult is compared to a measured profile and is shown to accurately reproduce its shape. A servo Position Error Signal (PES) model then is constructed f rom the crosstrack profile expression. Deviations from PES linearity and ga in variations due to MR element microtrack shape variations are studied usi ng the PES model.