Most angle estimation methods developed until this day require knowledge of the noise covariance matrix to be known or to be within a certain multiplicative constant. In this paper, to resolve the influence of unknown colored noise of the bistatic multiple input multiple output radar system for the joint direction of departure (DOD) and direction of arrival (DOA) estimation problem, a new denoising technique based on Hermitian transform differencing method is introduced. Then, by deriving a conjugate reduce dimension MUSIC estimator, the DOD and DOA of the target are obtained. The proposed method presents no virtual aperture loss which translates into improved performance and has low computational load over several competing methods. Lastly, the derivation of the stochastic Cramer-Rao bound for the joint angle estimation under consideration is presented. Numerical simulation conducted under varying conditions verifies the effectiveness of the proposed approach. INDEX TERMS DOD and DOA estimation, colored noise, Bistatic MIMO radar, Hermitian transformation, differencing, MUSIC.