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We are developing an ultra-wideband spectroscopic instrument, DESHIMA (DEepSpectroscopic HIgh-redshift MApper), based on the technologies of an on-chipfilter-bank and Microwave Kinetic Inductance Detector (MKID) to investigatedusty star-burst galaxies in the distant universe at millimeter andsubmillimeter wavelength. An on-site experiment of DESHIMA was performed usingthe ASTE 10-m telescope. We established a responsivity model that convertsfrequency responses of the MKIDs to line-of-sight brightness temperature. Weestimated two parameters of the responsivity model using a set of skydip datataken under various precipitable water vapor (PWV, 0.4-3.0 mm) conditions foreach MKID. The line-of-sight brightness temperature of sky is estimated usingan atmospheric transmission model and the PWVs. As a result, we obtain anaverage temperature calibration uncertainty of $1\sigma=4$%, which is smallerthan other photometric biases. In addition, the average forward efficiency of0.88 in our responsivity model is consistent with the value expected from thegeometrical support structure of the telescope. We also estimate line-of-sightPWVs of each skydip observation using the frequency response of MKIDs, andconfirm the consistency with PWVs reported by the Atacama LargeMillimeter/submillimeter Array.

DESHIMA on ASTE: On-sky Responsivity Calibration of the Integrated Superconducting Spectrometer