Devices and methods are directed to estimating a position of the device/user using a delta range measurement (DRM) module to measure a range difference between first and second range values for first and second time instants based on, e.g., carrier phase measurements. The time period between the first and second time instants may be greater than a periodic interval at which a new phase value is sampled. This architecture of the DRM module provides extended delta ranges values which also overlap in time, enabling a combination of improved dilution of precision and keeping fast generation of delta range values suitable for use in continuous filtering. A filter, e.g., a Kalman filter, may be used compute current estimates of two positions, or a combination of a position and a position difference, of the device based at least on the range difference and a priori estimate(s) of the position(s) of the device.