A reader device (104) for a contactless remote measurement system by inductive coupling provided with at least one RLC passive sensor (102) having a resistance and a capacitance or inductance provided for varying depending on one or more physical parameters, the measurement of which is desired, the reader including an inductive antenna (105), and means for iterative identification of at least the resistance and the capacitance or inductance of said sensor, provided for carrying out an iterative identification method comprising steps consisting of: emitting a test signal at the input of said antenna, achieving an estimation ŷk of the time response of the sensor to said test signal with means forming a discrete filter (112) provided with coefficients which may be modulated, adapting the coefficients of the discrete filter, depending on a criterion J depending on said estimation and on a discrete signal sk formed from a real signal taken at the terminals of the antenna in response to the emission of said test signal.