title: Optimal use of the information provided by indirect measurements of atmospheric vertical profiles.
abstract: A procedure for the optimal utilization and representation of the information retrieved from atmospheric observations is discussed. We show that the "measurement-space solution" exclusively contains the information present in the observations, but is not suitable for a representation of the retrieved profile in the form of a graph. The new method of the "null-space regularization", which provides in a complement space an external constraint and makes the solution compliant with this representation, is presented. In this way the measurement and the constraint are separately determined and are given in a vertical grid that can be freely chosen as fine as desired. The method is applied to simulated measurements and is used to define a procedure for data fusion.
authors.affiliation: Istituto di Fisica Applicata Nello Carrara del Consiglio Nazionale delle Ricerche, Sesto Fiorentino, Firenze, Italy. S.Ceccherini@ifac.cnr.it
authors.forename: Simone
authors.initials: S
authors.lastname: Ceccherini
authors.forename: Piera
authors.initials: P
authors.lastname: Raspollini
authors.forename: Bruno
authors.initials: B
authors.lastname: Carli