Encoder and apparatus with the same

An apparatus comprising:

• an encoder;
• and
• a movable member whose position is detected by the encoder,
• wherein the encoder comprises:
• a scale provided with a periodic pattern;
• a sensor relatively movable with respect to the scale and configured to read the periodic pattern to output analog signals each having a changing period corresponding to the periodic pattern and having mutually different phases;
• an A/D converter configured to perform time-division analog-to-digital conversion on the analog signals output from the sensor to produce digital signals;
• a phase detector configured to detect a phase from the digital signals;
• a corrector configured to calculate a correction value by using a relative movement speed of the scale and the sensor and the detected phase detected by the phase detector, and configured to calculate a corrected phase from the correction value and the detected phase;
• and
• a position detector configured to calculate a position in a direction in which the scale and the sensor are relativity moved by using the corrected phase.