Implementations of the FFT algorithm on GPU

Abstract:          The fast Fourier transform (FFT) plays an important role in digital signal processing (DSP) applications, and its implementation involves a large number of computations. Many DSP designers have been working on implementations of the FFT algorithms on different devices, such as central processing unit (CPU), Field programmable gate array (FPGA), and graphical processing unit (GPU), in order to accelerate the performance.          We selected the GPU device for the implementations of the FFT algorithm because the hardware of GPU is designed with highly parallel structure. It consists of many hundreds of small parallel processing units. The programming of such a parallel device, can be done by a parallel programming language CUDA (Compute Unified Device Architecture).           In this thesis, we propose different implementations of the FFT algorithm on the NVIDIA GPU using CUDA programming language. We study and analyze the different approaches, and use different techniques to accelerate the computations of the FFT. We also discuss the results and compare different approaches and techniques. Finally, we compare our best cases of results with the CUFFT library, which is a specific library to compute the FFT on NVIDIA GPUs.