True phase including phase characteristic of different complex functions and transfer functions is calculated by applying modulo 2 operation to tangent inverse function. Tangent inverse function is value limited to  2 x  2 . Different artificial discontinuities or phase jumps appear in the phase function. The problem of phase unwrapping is considered here and a new phase unwrapping method for removing artificial phase jumps was described and tested. A quantitative study is made to compare modulo 2unwrapping algorithm with the proposed algorithm in this paper.