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"Calculation Of Computational Complexity For Radix-2p Fast Fourier Transform Algorithms For Medical Signals." and the language of the book is English.


“Calculation Of Computational Complexity For Radix-2p Fast Fourier Transform Algorithms For Medical Signals.” Metadata:

  • Title: ➤  Calculation Of Computational Complexity For Radix-2p Fast Fourier Transform Algorithms For Medical Signals.
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  • Language: English

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This article is from <a href="//archive.org/search.php?query=journaltitle%3A%28Journal%20of%20Medical%20Signals%20and%20Sensors%29" rel="nofollow">Journal of Medical Signals and Sensors</a>, <a href="//archive.org/search.php?query=journaltitle%3A%28Journal%20of%20Medical%20Signals%20and%20Sensors%29%20AND%20volume%3A%283%29" rel="nofollow">volume 3</a>.<h2>Abstract</h2>Owing to its simplicity radix-2 is a popular algorithm to implement fast fourier transform. Radix-2p algorithms have the same order of computational complexity as higher radices algorithms, but still retain the simplicity of radix-2. By defining a new concept, twiddle factor template, in this paper, we propose a method for exact calculation of multiplicative complexity for radix-2p algorithms. The methodology is described for radix-2, radix-22 and radix-23 algorithms. Results show that radix-22 and radix-23 have significantly less computational complexity compared with radix-2. Another interesting result is that while the number of complex multiplications in radix-23 algorithm is slightly more than radix-22, the number of real multiplications for radix-23 is less than radix-22. This is because of the twiddle factors in the form of which need less number of real multiplications and are more frequent in radix-23 algorithm.

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