Title :
An efficient approach to the computation of fast fourier transform(FFT) by Radix-3 algorithm
Author :
Bashar, Syed Khairul
Author_Institution :
Dept. of EEE, Bangladesh Univ. of Eng. & Technol., Dhaka, Bangladesh
Abstract :
In this paper an efficient approach to compute Discrete Fourier Transform (DFT) using Radix-3 algorithm, which is a Fast Fourier Transform (FFT), has been presented. It takes less multiplication than the usual one. The key idea is that matrix formed by different powers of twiddle factor (phase factor) is decomposed into two matrices and it has been shown that it takes less complex multiplications to compute the result than original Cooley-Tukey method. Later, Matlab simulations verifying the calculations have been added to demonstrate the outcome.
Keywords :
discrete Fourier transforms; fast Fourier transforms; matrix decomposition; DFT; Matlab simulations; complex multiplication; discrete Fourier transform; fast Fourier transform; matrix decomposition; phase factor power; radix-3 algorithm; twiddle factor power; Algorithm design and analysis; Discrete Fourier transforms; Equations; Mathematical model; Matrix decomposition; Signal processing; Signal processing algorithms; DFT; QR decomposition; Radix-3; phase factor or twiddle factor;
Conference_Titel :
Informatics, Electronics & Vision (ICIEV), 2013 International Conference on
Conference_Location :
Dhaka
Print_ISBN :
978-1-4799-0397-9
DOI :
10.1109/ICIEV.2013.6572680