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Balance and Filtering in Structured Satisfiable Problems (Preliminary Report)

Henry Kautz, Yongshao Ruan, Dimitris Achlioptas, Carla Gomes Bart Selman, Mark Stickel
<span title="">2001</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/fhi2xwpnh5gmlgof2idwu5wlgq" style="color: black;">Electronic Notes in Discrete Mathematics</a> </i> &nbsp;
We investigate how this and other generators are biased away from the uniform distribution of satisfiable problems and show how they can be improved by imposing a balance condition.  ...  We also discuss the critical role of the problem encoding in the performance of both systematic and local search solvers.  ...  Let us start by reviewing the role of balance in the two most studied combinatorial optimization problems over random structures: random satisfiability and random graph coloring.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s1571-0653(04)00310-5">doi:10.1016/s1571-0653(04)00310-5</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/p3ovbo6yhjaavgbm7t47hpozcy">fatcat:p3ovbo6yhjaavgbm7t47hpozcy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170808095808/http://www.cs.rochester.edu/u/www/u/kautz/papers/732ijcai01.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/93/f2/93f220fc2ad068cbe6b5831117b21879bc40b391.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s1571-0653(04)00310-5"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Derivation of the Class of Digital Filters With All Second-Order Modes Equal

S. Yamaki, M. Abe, M. Kawamata
<span title="">2011</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gkn2pu46ozb4tmkxczacnmtvkq" style="color: black;">IEEE Transactions on Signal Processing</a> </i> &nbsp;
We first prove that if the second-order modes of a digital filter are all equal, the -sensitivity minimization problem of the digital filter can be solved analytically.  ...  Index Terms-Analytical solutions' -sensitivity minimization, first-order FIR digital filters, frequency transformations, secondorder modes, state-space digital filters.  ...  The balanced realization is a filter structure of which controllability and observability are balanced.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tsp.2011.2164403">doi:10.1109/tsp.2011.2164403</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/z5ysqna5lnbndmhk6adnvoxt7q">fatcat:z5ysqna5lnbndmhk6adnvoxt7q</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170830021027/http://www.mk.ecei.tohoku.ac.jp/~yamaki/Publications/IEEE-TSP-2011.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/bc/62/bc62923a062b3f61993dc67f152fe7952a74a4da.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tsp.2011.2164403"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

A Closed Form Solution to L2-Sensitivity Minimization of Second-Order State-Space Digital Filters

S. YAMAKI, M. ABE, M. KAWAMATA
<span title="2008-05-01">2008</span> <i title="Institute of Electronics, Information and Communications Engineers (IEICE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/x2mklbxoqjfvjdjrdybgo53sdm" style="color: black;">IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences</a> </i> &nbsp;
Restricting ourselves to the 2-nd order case of state-space digital filters, we can represent L 2 -sensitivity in closed form.  ...  This paper discusses synthesis of state-space digital filters with minimum L 2 -sensitivity.  ...  The balanced realization is a filter structure which satisfies K 0 = W 0 = Θ, Θ = diag(θ 1 , · · · , θ N ). (10) Diagonal elements θ 1 , · · · , θ N are called second order modes.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1093/ietfec/e91-a.5.1268">doi:10.1093/ietfec/e91-a.5.1268</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3eloxlc25vgedmmtz2ynbpkl74">fatcat:3eloxlc25vgedmmtz2ynbpkl74</a> </span>
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Evolutionary computation techniques for the optimum design of Balanced Surface Acoustic Wave filters

Kiyoharu Tagawa
<span title="">2008</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2dmkezwdzrcofn7zdzzte2h75i" style="color: black;">2008 IEEE Congress on Evolutionary Computation (IEEE World Congress on Computational Intelligence)</a> </i> &nbsp;
Then the structural design of balanced SAW filters is formulated as a function optimization problem that aims to improve their balance characteristics and satisfy specifications for filter characteristics  ...  Furthermore, in order to solve the function optimization problem successfully, a simple and efficient global optimization method, i.e., the differential evolution (DE), is employed.  ...  Acknowledgements: The research was supported in part by the Grant-in-Aid for Scientific Research (C) (Project No. 18560402) from Japan Society for the Promotion of Science (JSPS).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/cec.2008.4630814">doi:10.1109/cec.2008.4630814</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/cec/Tagawa08.html">dblp:conf/cec/Tagawa08</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/4xxl7wekwze7ff656gmalrjnaq">fatcat:4xxl7wekwze7ff656gmalrjnaq</a> </span>
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Closed form expressions of the minimum L2-sensitivity realizations for all-pass digital filters

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata
<span title="">2010</span> <i title="IEEE"> 2010 2nd IEEE InternationalConference on Network Infrastructure and Digital Content </i> &nbsp;
We first prove that the L 2 -sensitivity minimization problem can be solved analytically if the all second-order modes of a digital filter are equal.  ...  As a result, it is clarified that the minimum L 2sensitivity realization of an all-pass digital filter is equal to the balanced realization, of which closed form expression can be derived analytically.  ...  The balanced realization (A b ,b b ,c b ,d b ) is a filter structure of which controllability and observability are balanced.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icnidc.2010.5657944">doi:10.1109/icnidc.2010.5657944</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/piqjzjd2mbddrkkwvd4re3frey">fatcat:piqjzjd2mbddrkkwvd4re3frey</a> </span>
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Optimum Design of Balanced Surface Acoustic Wave Filters Using Evolutionary Computation [chapter]

Kiyoharu Tagawa
<span title="2009-10-01">2009</span> <i title="InTech"> Evolutionary Computation </i> &nbsp;
In the section 3, the structural design of balanced SAW filters is formulated as an optimization problem.  ...  Then we formulated the structural design of balanced SAW filters as an optimization problem for improving their performances in both the balance characteristics and the filter characteristics.  ...  Optimum Design of Balanced Surface Acoustic Wave Filters Using Evolutionary Computation, Evolutionary Computation, Wellington Pinheiro dos Santos (Ed.), ISBN: 978-953-307-008-7, InTech, Available from:  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5772/9615">doi:10.5772/9615</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ocpqyuibbbaclgo22rdediuspq">fatcat:ocpqyuibbbaclgo22rdediuspq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190430051304/https://cdn.intechopen.com/pdfs/10930.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/0f/ea/0fea85948664f2f45fc3e8793e3d4dec83314359.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5772/9615"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Roundoff noise minimization of state-space digital filters using separate and joint error feedback/coordinate transformation optimization

T. Hinamoto, H. Ohnishi, Wu-Sheng Lu
<span title="">2003</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/a2sy5llz7rchfdd7zku3k2hthy" style="color: black;">IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications</a> </i> &nbsp;
namely, the general state-space realization, input-balanced realization, and optimal realization in the sense of Hwang-Mullis-Roberts are examined.  ...  This paper investigates the problem of minimizing roundoff noise under 2 -norm dynamic-range scaling constraints in state-space digital filters by means of error feedback as well as joint error feedback  ...  (17) In the rest of the paper, the filter in (1) is said to be input-balanced (internally balanced) if and where diag .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tcsi.2002.807512">doi:10.1109/tcsi.2002.807512</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/4zdluyvuzfc5bjxrny7fkqvo7m">fatcat:4zdluyvuzfc5bjxrny7fkqvo7m</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170706074232/http://www.ece.uvic.ca/~wslu/Publications/Lu-Journal/J6.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ce/c0/cec0bedd5a16bb3db2894229e127d0f05a4db7c7.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tcsi.2002.807512"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Linear phase paraunitary filter banks: theory, factorizations and designs

A.K. Soman, P.P. Vaidyanathan, T.Q. Nguyen
<span title="">1993</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gkn2pu46ozb4tmkxczacnmtvkq" style="color: black;">IEEE Transactions on Signal Processing</a> </i> &nbsp;
Further, we structurally impose the additional condition that the filters satisfy pairwise mirror-image symmetry in the frequency domain.  ...  Specific instances of this problem have been addressed by other authors, and linear phase paraunitary systems have been shown to exist.  ...  (7.5) In order to simplify and reduce the number of variables in the design problem, we impose the condition that the filters also satisfy the painvise mirror image property, i.e., HM-, -k ( z ) = H  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/78.258087">doi:10.1109/78.258087</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2a6txpgit5eshpihhxcelj4blm">fatcat:2a6txpgit5eshpihhxcelj4blm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170922143407/http://authors.library.caltech.edu/8716/1/SOMieeetsp93c.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/83/ab/83abb03c695029df1376d0ffd48e711197450643.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/78.258087"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Design and factorization of FIR paraunitary filter banks given several analysis filters

C.W. Kok, M. Ikehara, T.Q. Nguyen
<span title="">2000</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gkn2pu46ozb4tmkxczacnmtvkq" style="color: black;">IEEE Transactions on Signal Processing</a> </i> &nbsp;
As a result, the design problem can be formulated as an unconstrained optimization of the lattice coefficients, whereas paraunitariness and linear-phase properties are structurally guaranteed.  ...  A lattice factorization-based algorithm is presented that provides complete and minimal characterization for nonlinear-phase and balanced linear-phase systems.  ...  A complete and minimal lattice structure for the polyphase matrix E E E d (z) 2 m2M [z] of a balanced linear-phase FIR paraunitary filter bank with M odd is given by [8] E E and where W W E d (z) =  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/78.847799">doi:10.1109/78.847799</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/p7zt24bgrbgl3ewmqr3cyvygkm">fatcat:p7zt24bgrbgl3ewmqr3cyvygkm</a> </span>
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Analytical synthesis of minimum L2-sensitivity realizations of all-pass digital filters

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata
<span title="">2010</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/kucxvipvevedfgtsl3pnvxorse" style="color: black;">Proceedings of 2010 IEEE International Symposium on Circuits and Systems</a> </i> &nbsp;
We first prove that the L2-sensitivity minimization problem can be solved analytically if the all second-order modes of a digital filter are equal.  ...  As a result, it is clarified that the minimum L2-sensitivity realization of an all-pass digital filter is equal to the balanced realization, which can be synthesized analytically. 978-1-4244-5309-2/10/  ...  The balanced realization (A b , b b , c b , d b ) is a filter structure of which controllability and observability are balanced.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/iscas.2010.5537473">doi:10.1109/iscas.2010.5537473</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/iscas/YamakiAK10.html">dblp:conf/iscas/YamakiAK10</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wxiiunxunvgntpbo7vluj277q4">fatcat:wxiiunxunvgntpbo7vluj277q4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200321071443/http://www.mk.ecei.tohoku.ac.jp/~yamaki/Publications/ISCAS2010.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/69/9e/699e60884143c49096ce630d34b85bba95726d3a.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/iscas.2010.5537473"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Interpolating multiwavelet bases and the sampling theorem

I.W. Selesnick
<span title="">1999</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gkn2pu46ozb4tmkxczacnmtvkq" style="color: black;">IEEE Transactions on Signal Processing</a> </i> &nbsp;
Index Terms- Filter banks, multiwavelet bases, sampling, wavelet transforms. Ivan W. Selesnick (M'98) received the B.S., M.E.  ...  This paper considers the classical sampling theorem in multiresolution spaces with scaling functions as interpolants.  ...  Strela, for computing the Sobolev exponents of the examples presented in this paper, and the reviewers for their helpful comments.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/78.765131">doi:10.1109/78.765131</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/neowprb4krfozeabghw6mnojwa">fatcat:neowprb4krfozeabghw6mnojwa</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20060512065950/http://taco.poly.edu:80/selesi/pubs/SamplingMwletTSP.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e1/7f/e17f288f925282bfb8aba1c88e39df6a8a70bf04.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/78.765131"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

High capacity watermarking using balanced multiwavelet transforms

L. Ghouti, A. Bouridane, S. Boussakta
<span title="">2005</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/anlh4tvwprcrtoxv5d4h6a7rye" style="color: black;">IEEE International Conference on Image Processing 2005</a> </i> &nbsp;
In this paper, we derive estimates of data-hiding capacity of balanced multiwavelet transforms.  ...  The emergence of digital multimedia and the proliferation of its use have raised major concerns about the protection of intellectual property.  ...  The balancing order is p if the lowpass and highpass branches in the filter bank preserve and cancel, respectively all monomials of order less than p (p ≤ K).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icip.2005.1529916">doi:10.1109/icip.2005.1529916</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/icip/GhoutiBB05.html">dblp:conf/icip/GhoutiBB05</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pp23zp7ltvgexjjnfub6bzpepi">fatcat:pp23zp7ltvgexjjnfub6bzpepi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20110331224946/http://faculty.kfupm.edu.sa/ICS/lahouari/Publications/ICIP-2005-Paper-Capacity.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/12/fa/12faf56553072e37efcb189081796b2b980e1796.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icip.2005.1529916"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Multiwavelet bases with extra approximation properties

I.W. Selesnick
<span title="">1998</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gkn2pu46ozb4tmkxczacnmtvkq" style="color: black;">IEEE Transactions on Signal Processing</a> </i> &nbsp;
For these "balanced" bases (so named by Lebrun and Vetterli), prefiltering can be avoided.  ...  By reorganizing the multiwavelet filter bank, the development in this paper draws from results regarding the approximation order of M -band wavelet bases.  ...  In that case, the scaling filter must satisfy the same divisibility requirement. The analysis of Property 3 for is less simple; however, it is facilitated by examining the filter bank structure.  ... 
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<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170813061943/http://eeweb.poly.edu/iselesni/ExtraMwlets/mwlet_extra.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/66/6b/666b68b4bb8062898e155ef8c011cad89d1b040b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/78.726804"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Multiuser MIMO Downlink Beamforming Design Based on Group Maximum SINR Filtering

Yu-Han Yang, Shih-Chun Lin, Hsuan-Jung Su
<span title="">2011</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gkn2pu46ozb4tmkxczacnmtvkq" style="color: black;">IEEE Transactions on Signal Processing</a> </i> &nbsp;
Based on the GSINR-FB beamformer, we find an SINR balancing structure for optimal power allocation which simplifies the complicated power allocation problem to a linear one.  ...  Efficient solutions to the joint transmit-receive beamforming and power allocation problem based on iterative methods are proposed.  ...  Following the same steps of the above proof, the SINR balancing structure also exists for Problem Pp in (14) .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tsp.2010.2099221">doi:10.1109/tsp.2010.2099221</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/6oqdv55jg5ecnhizy35p6jbv6i">fatcat:6oqdv55jg5ecnhizy35p6jbv6i</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170829083834/http://www-o.ntust.edu.tw/~sclin/paper/sc11TSP.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/68/a9/68a97db429fcbac9872ac950b5607fa3184bd2fb.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tsp.2010.2099221"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Page 2690 of Mathematical Reviews Vol. , Issue 2004c [page]

<span title="">2004</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
This problem arises in fields such as Doppler imaging, where it arises for two reasons.  ...  Summary: “Additive noise removal from a given signal is an im- portant problem in signal processing.  ... 
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