Proceedings of International Conference on Applied Innovation in IT
2014/03/27, Volume 2, Issue 1, pp.11-20
Efficiency Comparison of DFT/IDFT Algorithms by Evaluating Diverse Hardware Implementations, Parallelization Prospects and Possible Improvements
Danijela Efnusheva, Natasha Tagasovska, Aristotel Tentov, Marija Kalendar
Abstract: In this paper we investigate various algorithms for performing Fast Fourier Transformation (FFT)/Inverse Fast Fourier Transformation (IFFT), and proper techniques for maximizing the FFT/IFFT execution speed, such as pipelining or parallel processing, and use of memory structures with pre-computed values (look up tables - LUT) or other dedicated hardware components (usually multipliers). Furthermore, we discuss the optimal hardware architectures that best apply to various FFT/IFFT algorithms, along with their abilities to exploit parallel processing with minimal data dependences of the FFT/IFFT calculations. An interesting approach that is also considered in this paper is the application of the integrated processing-in-memory Intelligent RAM (IRAM) chip to high speed FFT/IFFT computing. The results of the assessment study emphasize that the execution speed of the FFT/IFFT algorithms is tightly connected to the capabilities of the FFT/IFFT hardware to support the provided parallelism of the given algorithm. Therefore, we suggest that the basic Discrete Fourier Transform (DFT)/Inverse Discrete Fourier Transform (IDFT) can also provide high performances, by utilizing a specialized FFT/IFFT hardware architecture that can exploit the provided parallelism of the DFT/IDF operations. The proposed improvements include simplified multiplications over symbols given in polar coordinate system, using sinе and cosine look up tables, and an approach for performing parallel addition of N input symbols.
Keywords: Cooley-Tukey, DFT/IDFT, FFT/IFFT, Intelligent RAM, look up tables, OFDM, pipeline and parallel processing, polar coordinate system
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