The practice of estimating the direction of the signal emitted from signal sources using linear antenna arrays is used effectively in both military and civilian radar systems. While the number of signal sources was single in the first studies, the systems that estimated the direction angle of the source have now gained the ability to estimate the direction angle of the signals emitted from more than one signal source at the same time with high accuracy, thanks to the deepening researches. In this study, it is aimed to estimate the angle of incidence of noisy signals emitted from multiple signal sources with the least error by using the Matrix Pencil Method and linear antenna array, which is one of the signal subspace analysis methods. In addition, the signals are separated from the noise factor by using the Singular Value Decomposition method. Simulations have been carried out in many different scenarios, and it has been shown that the combination of Matrix Pencil Method and Singular Value Decomposition methods can be used for highly accurate results in estimating the direction of multiple signals coming into the antenna array.