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Published by Springer-Verlag GmbH, 2009
ISBN 10: 3642036384 ISBN 13: 9783642036385
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Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2012
ISBN 10: 3642260969 ISBN 13: 9783642260964
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Add to basketPaperback. Condition: new. Paperback. The requirement of causality in system theory is inevitably accompanied by the appearance of certain mathematical operations, namely the Riesz proj- tion,theHilberttransform,andthespectralfactorizationmapping.Aclassical exampleillustratingthisisthedeterminationoftheso-calledWiener?lter(th e linear, minimum means square error estimation ?lter for stationary stochastic sequences [88]). If the ?lter is not required to be causal, the transfer function of the Wiener ?lter is simply given by H(?)=? (?)/? (?),where ? (?) xy xx xx and ? (?) are certain given functions. However, if one requires that the - xy timation ?lter is causal, the transfer function of the optimal ?lter is given by 1 ? (?) xy H(?)= P ,?? (??,?] . + [? ] (?) [? ] (?) xx + xx? Here [? ] and [? ] represent the so called spectral factors of ? ,and xx + xx? xx P is the so called Riesz projection. Thus, compared to the non-causal ?lter, + two additional operations are necessary for the determination of the causal ?lter, namely the spectral factorization mapping ? ? ([? ] ,[? ] ),and xx xx + xx? the Riesz projection P . (?) xy xx xx and ? However, if one requires that the - xy timation ?lter is causal, the transfer function of the optimal ?lter is given by 1 ? ] (?) [? ] (?) xx + xx? ] and [? ] represent the so called spectral factors of ? ] ),and xx xx + xx? Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2009
ISBN 10: 3642036384 ISBN 13: 9783642036385
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Add to basketHardcover. Condition: new. Hardcover. The requirement of causality in system theory is inevitably accompanied by the appearance of certain mathematical operations, namely the Riesz proj- tion,theHilberttransform,andthespectralfactorizationmapping.Aclassical exampleillustratingthisisthedeterminationoftheso-calledWiener?lter(th e linear, minimum means square error estimation ?lter for stationary stochastic sequences [88]). If the ?lter is not required to be causal, the transfer function of the Wiener ?lter is simply given by H(?)=? (?)/? (?),where ? (?) xy xx xx and ? (?) are certain given functions. However, if one requires that the - xy timation ?lter is causal, the transfer function of the optimal ?lter is given by 1 ? (?) xy H(?)= P ,?? (??,?] . + [? ] (?) [? ] (?) xx + xx? Here [? ] and [? ] represent the so called spectral factors of ? ,and xx + xx? xx P is the so called Riesz projection. Thus, compared to the non-causal ?lter, + two additional operations are necessary for the determination of the causal ?lter, namely the spectral factorization mapping ? ? ([? ] ,[? ] ),and xx xx + xx? the Riesz projection P . (?) xy xx xx and ? However, if one requires that the - xy timation ?lter is causal, the transfer function of the optimal ?lter is given by 1 ? ] (?) [? ] (?) xx + xx? ] and [? ] represent the so called spectral factors of ? ] ),and xx xx + xx? Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2012
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Add to basketPaperback. Condition: new. Paperback. The requirement of causality in system theory is inevitably accompanied by the appearance of certain mathematical operations, namely the Riesz proj- tion,theHilberttransform,andthespectralfactorizationmapping.Aclassical exampleillustratingthisisthedeterminationoftheso-calledWiener?lter(th e linear, minimum means square error estimation ?lter for stationary stochastic sequences [88]). If the ?lter is not required to be causal, the transfer function of the Wiener ?lter is simply given by H(?)=? (?)/? (?),where ? (?) xy xx xx and ? (?) are certain given functions. However, if one requires that the - xy timation ?lter is causal, the transfer function of the optimal ?lter is given by 1 ? (?) xy H(?)= P ,?? (??,?] . + [? ] (?) [? ] (?) xx + xx? Here [? ] and [? ] represent the so called spectral factors of ? ,and xx + xx? xx P is the so called Riesz projection. Thus, compared to the non-causal ?lter, + two additional operations are necessary for the determination of the causal ?lter, namely the spectral factorization mapping ? ? ([? ] ,[? ] ),and xx xx + xx? the Riesz projection P . (?) xy xx xx and ? However, if one requires that the - xy timation ?lter is causal, the transfer function of the optimal ?lter is given by 1 ? ] (?) [? ] (?) xx + xx? ] and [? ] represent the so called spectral factors of ? ] ),and xx xx + xx? Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2009
ISBN 10: 3642036384 ISBN 13: 9783642036385
Language: English
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Add to basketHardcover. Condition: new. Hardcover. The requirement of causality in system theory is inevitably accompanied by the appearance of certain mathematical operations, namely the Riesz proj- tion,theHilberttransform,andthespectralfactorizationmapping.Aclassical exampleillustratingthisisthedeterminationoftheso-calledWiener?lter(th e linear, minimum means square error estimation ?lter for stationary stochastic sequences [88]). If the ?lter is not required to be causal, the transfer function of the Wiener ?lter is simply given by H(?)=? (?)/? (?),where ? (?) xy xx xx and ? (?) are certain given functions. However, if one requires that the - xy timation ?lter is causal, the transfer function of the optimal ?lter is given by 1 ? (?) xy H(?)= P ,?? (??,?] . + [? ] (?) [? ] (?) xx + xx? Here [? ] and [? ] represent the so called spectral factors of ? ,and xx + xx? xx P is the so called Riesz projection. Thus, compared to the non-causal ?lter, + two additional operations are necessary for the determination of the causal ?lter, namely the spectral factorization mapping ? ? ([? ] ,[? ] ),and xx xx + xx? the Riesz projection P . (?) xy xx xx and ? However, if one requires that the - xy timation ?lter is causal, the transfer function of the optimal ?lter is given by 1 ? ] (?) [? ] (?) xx + xx? ] and [? ] represent the so called spectral factors of ? ] ),and xx xx + xx? Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
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Published by Springer Berlin Heidelberg, 2012
ISBN 10: 3642260969 ISBN 13: 9783642260964
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Add to basketCondition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Gives a concise picture of the mathematical foundations of network calculusBasic treatment of Quality-of-Service OptimizationThe requirement of causality in system theory is inevitably accompanied by the appearance of certain mathematical .
Published by Springer Berlin Heidelberg, 2009
ISBN 10: 3642036384 ISBN 13: 9783642036385
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Add to basketCondition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Gives a concise picture of the mathematical foundations of network calculusBasic treatment of Quality-of-Service OptimizationThe requirement of causality in system theory is inevitably accompanied by the appearance of certain mathematical .
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