Basic concepts Basic problem: We measure range and phase data that are related to the positions of the ground receiver, satellites and other quantities How do we determine the " best position for the receiver and other quantities What do we mean by best " estimate? Inferring parameters from measurements is estimation 03/1203 12540Lec10 Basic estimation Two styles of estimation(appropriate for geodetic type measurements) Parametric estimation where the quantities to be that express the observablesarables in equations Condition estimation where conditions can be formulated among the observations. Rarely used, most common application is leveling where the sum of the height differences around closed circuits must be zero03/12/03 12.540 Lec 10 3 Basic concepts estimation 03/12/03 12.540 Lec 10 4 Basic estimation – Parametric estimation where the quantities to be that express the observables – formulated among the observations. Rarely used, most common application is leveling where the sum of the height differences around closed circuits must be zero • Basic problem: We measure range and phase data that are related to the positions of the ground receiver, satellites and other quantities. How do we determine the “best” position for the receiver and other quantities. • What do we mean by “best” estimate? • Inferring parameters from measurements is • Two styles of estimation (appropriate for geodetic type measurements) estimated are the unknown variables in equations Condition estimation where conditions can be 2