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Könyv Time-Frequency Representations Richard Tolimieri

Time-Frequency Representations

Szerző: Richard Tolimieri, Myoung An
Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: Birkhauser Boston Inc
Elérhetőség: Beszállítói készleten
Küldés 10-13 napon belül
38 334 Ft
The aim of this work is to present several topics in time-frequency analysis as subjects in abelian...

Információk a könyvről

Szerző
Richard Tolimieri, Myoung An
Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
1997
oldal
284
EAN
9780817639181
ISBN
0817639187
Enbook ID
01399139
Kiadó
Birkhauser Boston Inc
Súly
1330
Méretek
155 x 235 x 22

Teljes leírás

The aim of this work is to present several topics in time-frequency analysis as subjects in abelian group theory. The algebraic point of view pre dominates as questions of convergence are not considered. Our approach emphasizes the unifying role played by group structures on the development of theory and algorithms. This book consists of two main parts. The first treats Weyl-Heisenberg representations over finite abelian groups and the second deals with mul tirate filter structures over free abelian groups of finite rank. In both, the methods are dimensionless and coordinate-free and apply to one and multidimensional problems. The selection of topics is not motivated by mathematical necessity but rather by simplicity. We could have developed Weyl-Heisenberg theory over free abelian groups of finite rank or more generally developed both topics over locally compact abelian groups. However, except for having to dis cuss conditions for convergence, Haar measures, and other standard topics from analysis the underlying structures would essentially be the same. A re cent collection of papers [17] provides an excellent review of time-frequency analysis over locally compact abelian groups. A further reason for limiting the scope of generality is that our results can be immediately applied to the design of algorithms and codes for time frequency processing.

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