In this paper, the computation of the Singular Value Decomposition (SVD) of complex matrices will be presented using fixed point arithmetic. The application of CORDIC operations for fixed point implementations of the SVD of complex matrices will be introduced. SVD plays a major role in Closed Loop MIMO OFDM systems. The impact of fixed point implementation of SVD in a Closed Loop MIMO-OFDM system is examined. The ratio of Maximum to Minimum Singular Value (MMSVR) is computed for both fixed point (CORDIC) and floating point operations (using the LAPACK library). The fixed point implementation closely tracks the floating point results over fading channel models. It is shown that for highly ill-conditioned sub carriers the fixed point implementation deviates from the floating point MMSVR. This leads to noise enhancement and degradation of performance. By adding transmit diversity in Closed Loop MIMO-OFDM the MMSVR can be reduced and performance substantially enhanced for the fixed point implementation. It is also shown how SVD can be used in Open Loop MIMO-OFDM systems. This paper is an important introduction to the algorithms implemented in the GitHub repository for MIMO-OFDM:https://github.com/silicondsp/mimo-ofdm-release