A General Comparison Of FFT Algorithms

A large number of FFT algorithms have been developed over the years, notably the Radix-2, Radix-4, Split- Radix, Fast Hartley Transform (FHT), Quick Fourier Transform (QFT), and the Decimation-in-Time-Frequency (DITF) algorithms. How these algorithms fare in comparison with each other is of considerable interest to developers of signal processing technology. In this paper, we present a general analysis and comparison of the aforementioned algorithms. The analysis of each algorithm includes the number of mathematical operations, computation time and memory requirements. The results indicate that the FHT is the overall best algorithm on all platforms, offering the fastest execution time and requiring reasonably small amounts of memory

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