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Computation of Wideband Coherent Signal-Subspace (CSS) Based Direction of Arrival (DOA) has been parallelized and implemented on Multicore (Intel Nehalem Quad Core) and NVIDIA's GPU. This is in an effort to its use for real time applications. The CSS algorithm has been parallelized, partitioned, mapped and scheduled on Multi-Core/GPU. The parallel algorithm is developed in C# and a combination of C and CUDA for Multi-Core and GPU respectively. The algorithm has also been implemented on single core for comparison purposes. Wideband CSS algorithm is implemented assuming 16 and 4 sensors using Uniform Linear Array (ULA).