This invention describes a method for processing pressure signals derived from locations inside or outside a human or animal body or body cavity. Different aspects of the invention relate to a method for optimal differentiating between cardiac beat- and artifact-induced pressure waves, a method for obtaining new and improved information from said pressure signals. In particular the invention describes methods for predicting pressures inside a body or body cavity from pressure-related signals derivable from outside said body or body cavity. Thereby the methods provides for non-invasive monitoring of pressures.