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We present the calibration and background model for the Large Area X-rayProportional Counter (LAXPC) detectors on-board AstroSat. LAXPC instrument hasthree nominally identical detectors to achieve large collecting area. Thesedetectors are independent of each other and in the event analysis mode, theyrecord the arrival time and energy of each photon that is detected. Thedetectors have a time-resolution of 10 $\mu$s and a dead-time of about 42$\mu$s. This makes LAXPC ideal for timing studies. The energy resolution andpeak channel to energy mapping were obtained from calibration on ground usingradioactive sources coupled with GEANT4 simulations of the detectors. Theresponse matrix was further refined from observations of the Crab X-ray sourceafter launch. At around 20 keV the energy resolution of detector is about10--15\%, while the combined effective area of the 3 detectors is about 6000cm$^2$.

Calibration of the Large Area X-ray Proportional Counter (LAXPC) instrument on-board AstroSat