Abstract: Two A.C. output signals amplitude-modulated in accordance with two function values (sine and cosine) differing from each other in correspondence to a position-to-be-detected are received from a position sensor such as a resolver. By performing an addition or subtraction between a signal derived by shifting the electric phase of one of the received A.C. output signals by a predetermined angle, and the other received signal, two electric A.C. signals (sin(&ohgr;t±d+&thgr;), sin((&ohgr;t±d−&thgr;)) are electrically synthesized which have electric phase angles (&thgr;) corresponding to the position-to-be-detected and are phase-shifted in opposite directions. “±d” here represents phase variation error caused by factors, other than the position-to-be-detected, such as temperature change.

Abstract: Single coil to be excited by a predetermined A.C. signal is provided, with no secondary coil being provided. Magnetism-responsive member is movable relative to the coil so that a self-inductance of the coil progressively increases or decreases in response to displacement of an object to be detected within a predetermined range and a voltage of the coil corresponding to the self-inductance is produced. Predetermined reference voltage is generated and subjected to analog operations with the coil output voltage, to thereby generate first and second A.C. outputs having, as amplitude coefficients, first and second cyclic amplitude functions correlated to the position to be detected. The position is detected on the basis of the phase component of the amplitude coefficient functions. Combination of two coils and one reference voltage may be employed.

Abstract: First A.C. output signal sin(&ohgr;t+&thgr;) having an electric phase angle shifted in a positive direction in accordance with a position-to-be-detected is produced along with a second A.C. output signal sin(&ohgr;t−&thgr;) having an electric phase angle shifted in a negative direction. First and second detection data are generated by detecting respective phase differences (+&thgr; and −&thgr;) of the first and second A.C. output signals from a predetermined reference phase. First predicted value is provided on the basis of at least two successive samples of the first detection data, and a second predicted value is provided on the basis of at least two successive samples of the second detection data. The first and second predicted values are modified to provide a standard predicted value for correcting a nonlinear error resulting from the Doppler effect.

Abstract: First A.C. output signal sin(&ohgr;+&thgr;) having an electric phase angle shifted in a positive direction in accordance with a position-to-be-detected is produced along with a second A.C. output signal sin(&ohgr;−&thgr;) having an electric phase angle shifted in a negative direction. First and second detection data are generated by detecting respective phase differences (+&thgr; and −&thgr;) of the first and second A.C. output signals from a predetermined reference phase. First predicted value is provided on the basis of at least two successive samples of the first detection data, and a second predicted value is provided on the basis of at least two successive samples of the second detection data. The first and second predicted values are modified to provide a standard predicted value for correcting a nonlinear error resulting from the Doppler effect.

Abstract: An outer cylinder having patterns of open windows of first to fourth channels is formed of a magnetic-shielding or antimagnetic substance. An inner cylinder is inserted in the outer cylinder, is formed of a magnetic substance and has patterns of nonmagnetic windows of the first to fourth channels. First to fourth coils excitable by A.C. are provided for the first to fourth channels. For each of the channels, the pattern of the open window in the outer cylinder and the pattern of the nonmagnetic window in the inner cylinder are arranged to overlap with each other.

Abstract: A winding section includes a primary winding to be excited by a single-phase A.C. signal, and a plurality of secondary windings provided at different locations with respect to a predetermined direction of linear movement. A variable magnetic coupling section includes a plurality of magnetic response members provided in repetition at a predetermined pitch along the direction of linear movement, and allows inductive A.C. output signals, amplitude-modulated in accordance with a varying linear position of an object of detection, to be produced in the individual secondary windings with amplitude function characteristics differing depending on positional differences between the secondary windings. Each of the inductive A.C. output signals produced in the secondary windings varies in its amplitude function in periodic cycles each corresponding to the pitch length of the magnetic response members.

Abstract: A group of secondary windings are distributively provided on a stator over a predetermined range, and the respective inductance of the secondary windings in the group is set in such a manner to present predetermined inductance distribution. A rotor has an eccentric shape so as to cause variations in magnetic coupling at individual poles of the stator in response to its current rotational position. By combined use of the magnetic coupling variations between primary and secondary windings on the stator and the predetermined inductance distribution of the secondary windings, high-accuracy detection of a rotational position is achieved with a simple structure. A plurality of primary windings may be set so as to present predetermined inductance distribution.

Abstract: Two A.C. output signals amplitude-modulated in accordance with two function values (sine and cosine) differing from each other in correspondence to a position-to-be-detected are received from a position sensor such as a resolver. By performing an addition or subtraction between a signal derived by shifting the electric phase of one of the received A.C. output signals by a predetermined angle, and the other received signal, two electric A.C. signals (sin(.omega.t .+-.d.+-..theta.), sin(.omega.t.+-.d-.theta.)) are electrically synthesized which have electric phase angles (.theta.) corresponding to the position-to-be-detected and are phase-shifted in opposite directions. ".+-.d" here represents phase variation error caused by factors, other than the position-to-be-detected, such as temperature change. In the synthesized two signals, the phase variation errors (.+-.d) appear in the same direction, while the phase differences (.theta.

Abstract: A desired coded pattern such as a bar code is formed with two materials which are magnetically different, e.g., in permeability or conductivity. A sensor has primary coils which are excited by reference AC signals which are different in phase from each other, to produce an induced output signal. When at least one of the primary coils is moved relative to the pattern to approach the pattern, the induced signal produced in the primary coil changes in accordance with existence of a material in the pattern and the electrical phase of a composite output signal of the induced signals in the respective primary coils corresponds to the existence of the material in the pattern. By measuring the electrical phase of this induced output signal, therefore, the pattern corresponding to the existence of the material can be read on the basis of the measured data of the electrical phase.