A sensor arrangement and a method for the precise detection of relative movements between an encoder and a sensor, including an encoder, which has an incremental scale having a plurality of scale subdivisions (λ), and a sensor which is magnetically coupled to the encoder via an air gap and includes at least two magnetic field sensor elements (SE1, SE2) which are arranged offset with respect to one another by a defined distance (Δx) in the direction of the relative movement, the magnetic field sensor element output signals (V1, V2) having been shifted relative to one another by a relative-speed-dependent time difference with regard to the detection of a scale subdivision (λ) or a defined part of a scale subdivision (N,S), the sensor having a signal processing circuit which comprises an interface module which generates a sensor output signal (IS3,IS4) including at least one speed signal based upon the time difference.