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Everything about Split-radix FFT algorithm
Fast Fourier transform algorithm
The split-radix FFT is a fast Fourier transform (FFT) algorithm for computing the discrete Fourier transform (DFT), and was first described in an initially little-appreciated paper by R. Yavne (1968) and subsequently rediscovered simultaneously by various authors in 1984. In particular, split radix is a variant of the Cooley–Tukey FFT algorithm that uses a blend of radices 2 and 4: it recursively expresses a DFT of length N in terms of one smaller DFT of length N/2 and two smaller DFTs of length N/4. Wikipedia →
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- Read the overview: Split-radix FFT algorithmA 5-minute orientation
- Pick up a classic book: Digital Signal ProcessingThe most-reprinted book on the subject
- Read the landmark paper: ‘Split radix’ FFT algorithmCited 340 times
- Go sideways: Bruun's FFT algorithmA closely related topic
- Go sideways: Butterfly diagramA closely related topic
📖 Definitions
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🗂️ The subject at a glance
🏆 Landmark papers (most cited)
‘Split radix’ FFT algorithm
Implementation of "Split-radix" FFT algorithms for complex, real, and real-symmetric data
An extended split-radix FFT algorithm
On the two-dimensional vector split-radix FFT algorithm
Real-time implementation of the split-radix FFT – An algorithm to efficiently construct local butterfly modules
A novel algorithm for computing the 2D split-vector-radix FFT
" A RADIX-4/8/SPLIT RADIX FFT WITH REDUCED ARITHMETIC COMPLEXITY ALGORITHM"
Implementation of Split Radix Algorithm for 12-Point FFT & IFFT
📚 Books worth reading
Digital Signal Processing · 2006
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Bruun's FFT algorithm Bruun's algorithm is a fast Fourier transform (FFT) algorithm based on an unusual recursive polynomial-factorization approach, proposed for powers of two…
- Butterfly diagram In the context of fast Fourier transform algorithms, a butterfly is a portion of the computation that combines the results of smaller discrete Fourier…
- Fast Fourier transform A fast Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT), or its inverse (IDFT), of a sequence. A Fourier transform…
- Cooley–Tukey FFT algorithm The Cooley–Tukey algorithm, named after J. W. Cooley and John Tukey, is the most common fast Fourier transform (FFT) algorithm. It re-expresses the discrete…
- Discrete Hartley transform A discrete Hartley transform (DHT) is a Fourier-related transform of discrete, periodic data similar to the discrete Fourier transform (DFT), with analogous…
- Vector-radix FFT algorithm The vector-radix FFT algorithm, is a multidimensional fast Fourier transform (FFT) algorithm, which is a generalization of the ordinary Cooley–Tukey FFT…
- Rader's FFT algorithm Rader's algorithm (1968), named for Charles M. Rader of MIT Lincoln Laboratory, is a fast Fourier transform (FFT) algorithm that computes the discrete…
- Discrete Fourier transform In mathematics, the discrete Fourier transform (DFT) is a discrete version of the Fourier transform that converts a finite sequence of numbers into another…