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Numerical Analysis for Iterative Filtering with New Efficient Implementations Based on FFT [article]

Antonio Cicone, Haomin Zhou
2018 arXiv   pre-print
Based on these results we provide new ideas for efficient implementations of Iterative Filtering algorithm which are based on Fast Fourier Transform (FFT), and the reduction of the original iterative algorithm  ...  In this work we tackle the problem of further analyzing the convergence of the Iterative Filtering method both in a continuous and a discrete setting in order to provide a comprehensive analysis of its  ...  Based on these results in Section 4 we propose new ideas to increase the efficiency of the Iterative Filtering algorithm.  ... 
arXiv:1802.01359v2 fatcat:y5dlel4ppnc3vgaebimt4cl4b4

SIMPLIFIED BLUESTEIN NUMERICAL FAST FOURIER TRANSFORMS ALGORITHM FOR DSP AND ASP

Amannah, Bakpo
2015 International journal of research - granthaalayah  
than the one with greater operators.  ...  The simplified numerical algorithm developed in this study is abbreviated with SBNADSP. The methodology adopted in this work was iterative and incremental development design.  ...  This way, an old filter becomes new not by creation but by improvement. Simply stated, filter sharpening is a technique for creating a new filter from an old one.  ... 
doi:10.29121/granthaalayah.v3.i11.2015.2925 fatcat:rsndybhjrfebvj7amv44afsrli

Development of an Extended Improvement on the Simplified-Bluestein Algorithm

Amannah Constance Izuchukwu
2017 Communications  
It is subjected to some numerical processing which included testing for efficiency on the C ++ platform. This test platform provided the basis for comparison leading to the desired EISBA.  ...  The algorithms were tested on input block of width 1000 units, and above, and can be implemented on input size of 100 000, and 1000 000 000 without the challenge of storage overflow.  ...  The analysis of iteration is based upon user feedback, and the program analysis facilities available.  ... 
doi:10.11648/j.com.20170504.11 fatcat:eivlsbitnfgptkx4l7esjh44p4

An orthogonal family of quincunx wavelets with continuously adjustable order

M. Feilner, D. Van De Ville, M. Unser
2005 IEEE Transactions on Image Processing  
We can also prove that they yield wavelet bases of 2 ( 2 ) for any 0.  ...  In fact, our method is almost as efficient as the standard Mallat algorithm for separable wavelets. Index Terms-McClellan transform, nonseparable filter design, quincunx sampling, wavelet transform.  ...  We will make up for this handicap by proposing a fast Fourier transform (FFT)-based implementation which is almost as efficient as Mallat's algorithm for separable wavelets [11] . II.  ... 
doi:10.1109/tip.2005.843754 pmid:15825484 fatcat:bua6ucpet5hiddo7gf2mheru2q

Solution of large dense complex matrix equations using a fast Fourier transform (FFT)-based wavelet-like methodology

Kyungjung Kim, T.K. Sarkar, M. Salazar-Palma, S.-L. Romano
2002 IEEE Transactions on Antennas and Propagation  
Hence, the efficiency of the new procedure becomes clear for very high order filters.  ...  The advantage of the FFT-based procedure utilizing ideal filters is that it can be computationally efficient and for very large matrices may yield a sparse matrix.  ...  Use of FFT in the implementation of FIR filters with a symmetrically extended data set is available in [3, chapter 8] .  ... 
doi:10.1109/8.999617 fatcat:tbxduyulavdtbjgqbjltuniare

Realization of Multi-Delay Filter Using Fermat Number Transforms

H. H. ALAEDDINE, E. H. BAGHIOUS, G. MADRE, G. BUREL
2008 IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences  
This paper is about an efficient implementation of adaptive filtering for echo cancelers.  ...  Then, an efficient implementation of the new procedure (SMDF-BPNLMS++) block filtering is proposed using Fermat Number Transform, which can significantly reduce the computation complexity of filter implantation  ...  As the FFT and FNT realizations are basically equivalent, our FNT-based block adaptive filtering has been implemented with convolution procedures using the FFT technique.  ... 
doi:10.1093/ietfec/e91-a.9.2571 fatcat:2gprqfbsjvfz5nfkcuh6dmtvke

Solution of large dense complex matrix equations utilizing wavelet-like transforms

Tapan Kumar Sarkar, Kyungjung Kim
1999 IEEE Transactions on Antennas and Propagation  
Hence, the efficiency of the new procedure becomes clear for very high order filters.  ...  The advantage of the FFT-based procedure utilizing ideal filters is that it can be computationally efficient and for very large matrices may yield a sparse matrix.  ...  Use of FFT in the implementation of FIR filters with a symmetrically extended data set is available in [3, chapter 8] .  ... 
doi:10.1109/8.805909 fatcat:iv2prjkefzcy7fekhnqx2a4zha

Inverse Kernels for Fast Spatial Deconvolution [chapter]

Li Xu, Xin Tao, Jiaya Jia
2014 Lecture Notes in Computer Science  
It is based on estimating inverse kernels that are decomposed into a series of 1D kernels.  ...  It commonly employs fast Fourier transform (FFT) to simplify computation.  ...  The authors would like to thank Shicheng Zheng for his help in implementing part of the algorithm.  ... 
doi:10.1007/978-3-319-10602-1_3 fatcat:o5eeaqymhbh3je2lzutpelbwja

Page 6538 of Mathematical Reviews Vol. , Issue 2000i [page]

2000 Mathematical Reviews  
The basis is not based on filterbank iteration; instead, different filters are used for each scale.  ...  Closed-form expressions for the filters are given, an efficient implementation of the transform is described, and improvement in a denoising example is shown.  ... 

The 5G candidate waveform race: a comparison of complexity and performance

Robin Gerzaguet, Nikolaos Bartzoudis, Leonardo Gomes Baltar, Vincent Berg, Jean-Baptiste Doré, Dimitri Kténas, Oriol Font-Bach, Xavier Mestre, Miquel Payaró, Michael Färber, Kilian Roth
2017 EURASIP Journal on Wireless Communications and Networking  
The benefits of these new waveforms for the foreseen 5G use cases are clearly highlighted on representative criteria and experiments.  ...  In addition to the complexity analysis, in this work, we also demonstrate the suitability of FBMC for specific 5G use cases via two experimental implementations.  ...  For GFDM, we consider four symbols per carrier and an IC receiver with eight iterations.  ... 
doi:10.1186/s13638-016-0792-0 fatcat:khurb65tcvaqzpgt5zfqiekq7y

Comparative Study of AC Signal Analysis Methods for Impedance Spectroscopy Implementation in Embedded Systems

Ahmed Yahia Kallel, Zheng Hu, Olfa Kanoun
2022 Applied Sciences  
In implementations with hardware acceleration, the FFT with barycentre correction stands out.  ...  This paper compares various methods, including the fast Fourier transform (FFT), the FFT with barycenter correction, the FFT with windowing, the Goertzel filter, the discrete-time Fourier transform (DTFT  ...  Complexity n. op/Iteration FFT (Radix-2/4/8) Transform O(Nlog 2 Table 2 . 2 Efficient Hardware Acceleration Methods for AC signal analysis Methods Treated in this paper.  ... 
doi:10.3390/app12020591 fatcat:cm7lglpi5vh6zlderg5ezosvue

A 4096-Point Radix-4 Memory-Based FFT Using DSP Slices

Mario Garrido, Miguel Angel Sanchez, Maria Luisa Lopez-Vallejo, Jesus Grajal
2017 IEEE Transactions on Very Large Scale Integration (vlsi) Systems  
With this purpose, most of the hardware has been implemented in DSP48E. As a result, the proposed FPGA is efficient in terms of hardware resources, as is shown by the experimental results.  ...  Apart from the low complexity, the FFT has been implemented on a Virtex 5 FPGA using DSP slices. The goal has been to reduce the use of distributed logic, which is scarce in the target FPGA.  ...  This reduces the amount of hardware with respect to previous radix-4 memory-based FFTs. Furthermore, the proposed FFT has been implemented efficiently on an FPGA making use of the DSP slices.  ... 
doi:10.1109/tvlsi.2016.2567784 fatcat:yprfdmwbxrh5bpxmxexdxbem6q

An Energy-Efficient Biomedical Signal Processing Platform

Joyce Kwong, Anantha P. Chandrakasan
2011 IEEE Journal of Solid-State Circuits  
This paper presents an energy-efficient processing platform for wearable sensor nodes, designed to support diverse biological signals and algorithms.  ...  Programmable accelerators support numerous usage scenarios and perform signal processing tasks at 133 to 215× lower energy than the general-purpose CPU.  ...  Sinangil for their valuable support, as well as to A. Shoeb and E. Shih for assistance with the EEG analysis algorithm. J. Kwong is supported by an NSERC fellowship.  ... 
doi:10.1109/jssc.2011.2144450 fatcat:vcxhvvh4djalbpdakpmhc5dkym

Page 6436 of Mathematical Reviews Vol. , Issue 2004h [page]

2004 Mathematical Reviews  
The questions are for- malizable and their solution must be based on efficient and robust computational techniques.  ...  Summary: “We develop a new algorithm for the fast computa- tion of discrete sums f(y; ) := . 1K (yj; — x) G=1 based on the recently developed fast Fourier transform (FFT) at nonequispaced knots.  ... 

Spectral transformations for two-dimensional filters via FFT

N.E. Mastorakis, M.N.S. Swamy
2002 IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications  
In this paper, a new fast algorithm for spectral transformations for two-dimensional digital filters is presented. The algorithm is based on the use of the fast Fourier transform.  ...  The simplicity and efficiency of the algorithm is illustrated by a numerical example.  ...  Several implementation algorithms for 2-D digital filters have been widely reported [1] - [3] . Most of these algorithms are based on proper (2-D) rational (also called spectral) transformations.  ... 
doi:10.1109/tcsi.2002.1010037 fatcat:6ifvdwgb7jh43dhxw34sysjwsu
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