Abstract
In this thesis, we try to estimate the pulsar detection of Gamma Ray Explorer (GRX). GRX is a soft gamma-ray telescope, which is expected on satellite mission in 2020, with 3 times successful balloon launch in past decade. GRX has good spatial and energy resolution, which can do well Compton event reconstruction, to help us explore soft gamma-ray astrophysics objects. For data analysis, GRX use Maximum Likelihood Expectation Maximization (MLEM) algorithm to improve imaging property. We conclude that GRX has 12.7 sigma detection at (l,b)=(0,135) with a 5 minute exposure and > 10 sigma detection at (l,b)=(0,180) with 1 < minute for Crab nebula in MeV range. We also present Vela pulsar has 7.9 sigma detection at (l,b)=(0,180) in 1-day observation, and 8.7 sigma detection for 0.005 Crab flux at (l,b)=(0,180) in a 2-day observation. The results are much better than prototype balloon flight of GRX in 2009 with 6 sigma detection in 6 hours exposure time.