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The Complexity of Iterated Multiplication
1995
Information and Computation
For a monoid G, the iterated multiplication problem is the computation of the product of n elements from G. ...
By re ning known completeness arguments, we s h o w t h a t a s G varies over a natural series of important groups and monoids, the iterated multiplication problems are complete for most natural, low-level ...
Thanks to two a n o n ymous referees who saved us embarrassment b y p o i n ting out some gaps in the logic of an earlier version of this paper. ...
doi:10.1006/inco.1995.1007
fatcat:3p2mpm7qbjfvtf4kogc3x2t67e
The complexity of iterated multiplication
[1989] Proceedings. Structure in Complexity Theory Fourth Annual Conference
For a monoid G, the iterated multiplication problem is the computation of the product of n elements from G. ...
By re ning known completeness arguments, we s h o w t h a t a s G varies over a natural series of important groups and monoids, the iterated multiplication problems are complete for most natural, low-level ...
Thanks to two a n o n ymous referees who saved us embarrassment b y p o i n ting out some gaps in the logic of an earlier version of this paper. ...
doi:10.1109/sct.1989.41816
dblp:conf/coco/ImmermanL89
fatcat:tkboeoojmfhkpccsapbyzgg2be
Algorithm to Compute Cubes of 1st "N" Natural Numbers using Single Multiplication per Iteration
2014
International Journal of Computer Applications
overall computational complexity per iteration is of the order of O ...
So, keeping the number of iterations same in both, in the traditional approach, the overall computational complexity per iteration is expressed in the order of O(n 2 ) while in the current approach the ...
The complexity of the multiplication "(6*a)" is of the order of O(3n) because 3 bits are used to represent the number "6". ...
doi:10.5120/17761-8872
fatcat:a3o6iz5op5gonaxkjtracdncxa
Computationally Efficient Channel Estimation in 5G Massive Multiple-Input Multiple-output Systems
2018
Electronics
an enormous amount of computations, which result in high computational complexity and make them impractical to implement. ...
Simulation results showed that the proposed algorithm had better channel estimation performance, which improved the signal detection by 31.68% while the complexity was reduced by 45.72%, compared with ...
Conflicts of Interest: The authors declare no conflicts of interest. ...
doi:10.3390/electronics7120382
fatcat:ilfmpl6obfa4hio3gqy3kjk4cq
An Improved Jacobi-Based Detector for Massive MIMO Systems
2019
Information
Massive multiple-input-multiple-output (MIMO) is one of the key technologies in the fifth generation (5G) cellular communication systems. ...
As the result, the fast convergence and the low computationally complexity of the proposed Jacobi-based algorithm are obtained and proved. ...
Conflicts of Interest: The authors declare no conflict of interest. ...
doi:10.3390/info10050165
fatcat:n4jw2hmznbeedjj64tt3agc2y4
Low-complexity near-optimal signal detection for uplink large-scale MIMO systems
[article]
2015
arXiv
pre-print
The complexity can be reduced from O(K3) to O(K2), where K is the number of users. We also provide the convergence proof of the proposed algorithm. ...
Minimum mean square error (MMSE) signal detection algorithm is near- optimal for uplink multi-user large-scale multiple input multiple output (MIMO) systems, but involves matrix inversion with high complexity ...
Computational Complexity: The complexity in terms of required number of multiplications is analyzed for comparison. ...
arXiv:1507.04443v1
fatcat:q5t2vj3a7rdyxh3gv4eyx7oyuq
High-convergence-speed low-computation-complexity SVD algorithm for MIMO-OFDM systems
2009
2009 International Symposium on VLSI Design, Automation and Test
The proposed SVD algorithm has the following features: (1) low total computational complexity, (2) fast convergence speed, (3) the ability of reconfigurable to different numbers of transmitter and receiver ...
Multiple-input multiple-output (MIMO) wireless communication systems with orthogonal frequency-division multiplexing (OFDM) achieve high spectral efficiency high channel capacity, and many MIMO-OFDM systems ...
It means the iterative multiplication of getting the last right singular vector, ܞ ே ,is unneeded, and it reduces the total computational complexity. ...
doi:10.1109/vdat.2009.5158128
fatcat:gn2vo2h7rvg2davkw7ebvfd4ie
A Robust Hybrid Iterative Linear Detector for Massive MIMO Uplink Systems
2020
Symmetry
In such iterative methods, the performance, complexity, and convergence rate are highly dependent on the initial vector. ...
A large-scale multiple-input multiple-output (MIMO), or massive MIMO (mMIMO), technology has a major impact to secure high data rate, high spectral efficiency, and quality of service (QoS). ...
Conflicts of Interest: The authors declare no conflict of interest. ...
doi:10.3390/sym12020306
fatcat:l4n6iqffbzbujlmvv7spokhdii
Analysis and design of power-efficient coding schemes with parallel concatenated convolutional codes
2006
IEEE Transactions on Communications
In the low signal-to-noise ratio regime, the performance of concatenated coding schemes is limited by the convergence properties of the iterative decoder. ...
In this paper, we extend the method of extrinsic information transfer charts, that is limited to the case of a concatenation of two component codes, to the case of multiple turbo codes. ...
The complexity of the iterative algorithm then is given by the sum over all , which is the number of states visited within each full iteration, multiplied by the number of iterations .
IV. ...
doi:10.1109/tcomm.2006.876847
fatcat:gdohk2rytzhwxflqhu2iim7ahm
MapReduce for Parallel Reinforcement Learning
[chapter]
2012
Lecture Notes in Computer Science
We give time and space complexity analysis of the proposed algorithms. This study demonstrates how parallelization opens new avenues for solving large scale reinforcement learning problems. ...
We investigate the parallelization of reinforcement learning algorithms using MapReduce, a popular parallel computing framework. ...
We give time and space complexity analysis of the proposed algorithms. ...
doi:10.1007/978-3-642-29946-9_30
fatcat:jyoovu2waffuzd5v3bxqyjdffm
Impact of Stair and Diagonal Matrices in Iterative Linear Massive MIMO Uplink Detectors for 5G Wireless Networks
2020
Symmetry
Numerical Results show that utilization of S achieves the target performance within few iterations, and, hence, the computational complexity is reduced. ...
Most of the existing iterative linear detectors are using a diagonal matrix ( D ) in initialization because the equalization matrix is almost diagonal. ...
Complexity Analysis Complexity is highly affected by the number of multiplications, divisions, and number of iterations. ...
doi:10.3390/sym12010071
fatcat:gz6tv4djjzdixhvtijnnlillyi
Iterative Signal Processing in Communications
2010
Journal of Electrical and Computer Engineering
in fact the same order complexity as that of an iterative matrix solver. ...
It is precisely this complexity which is avoided by the use of an iterative algorithm. ...
doi:10.1155/2010/862392
fatcat:j55huaeasffqpjsygtjn7ge4xq
Channel estimation for MIMO-OFDM systems based on data nulling superimposed pilots
2017
2017 21st Conference of Open Innovations Association (FRUCT)
The simulation results of the proposed algorithm show improvement in the estimation accuracy, bit error rate (BER) and computational complexity compared to that of the conventional superimposed pilot technique ...
receiver complexity. ...
COMPLEXITY ANALYSIS In this section, we analyze the computational complexity of the proposed DNSP scheme in terms of the required number of real multiplications and real additions for channel estimation ...
doi:10.23919/fruct.2017.8250172
dblp:conf/fruct/FaroukISE17
fatcat:crlhaxf3xzc6hea24blqhiolge
Adaptive Iterative Layered Space-Frequency Equalization For Single-Carreir Mimo Systems
2005
Zenodo
Publication in the conference proceedings of EUSIPCO, Antalya, Turkey, 2005 ...
COMPLEXITY ANALYSIS The signal processing complexity of AILSFE in terms of the number of complex multiplications, is shown in Table I for the first iteration and Table II for each of the remaining ...
In the decision-directed mode, the channel estimates are updated iteration by iteration instead of block by block (detection of each blocks consist of multiple iterations), to increase the convergence ...
doi:10.5281/zenodo.39306
fatcat:c6hdb5oumfec3dch5rqlwbouei
Simplified Parallel Interference Cancelation for Underdetermined MIMO Systems
2014
IEEE Transactions on Vehicular Technology
In the first iteration, the candidate sequences used for PIC are selected by exploring the statistical properties of the received signals. ...
A low complexity detection scheme is proposed in this paper for under-determined multiple-input multiple-output (UD-MIMO) wireless communication system that employs N transmit antennas and M < N receive ...
Substituting (36) into (28) leads to an estimate of the number of complex multiplications of the proposed algorithm in the first iteration. ...
doi:10.1109/tvt.2014.2298232
fatcat:qiblxd6kbfd7fculre6uwww6uu
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