APLICATION OF REPRESENTATION GROUP FOR SIGNAL PROCESSING
Using group representation, a structure that called group algebra will be learned. This group algebra is a finite dimensional inner product space and also a ring. The ring defined by an addition operation and either convolution or multiplication. This group algebra form an algebr...
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id-itb.:286392018-06-06T10:54:07ZAPLICATION OF REPRESENTATION GROUP FOR SIGNAL PROCESSING CAHYA WANDITRA (NIM: 10114048), LUCKY Indonesia Final Project INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/28639 Using group representation, a structure that called group algebra will be learned. This group algebra is a finite dimensional inner product space and also a ring. The ring defined by an addition operation and either convolution or multiplication. This group algebra form an algebra because it has the structure of vector space and ring. An example of algebra homomorphism is Fourier Transformation. This transfor¬mation has a nice property because it is unitary and involutory mapping. Using finite Fourier transformation and group algebra concepts, wave packet transformation will be introduced. Using wave packet transform, an irreducible representation will be formed. Using this property, a set that has similar property to an orthonormal set can be constructed. This set will be called tight frame. text |
| institution |
Institut Teknologi Bandung |
| building |
Institut Teknologi Bandung Library |
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Asia |
| country |
Indonesia Indonesia |
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Institut Teknologi Bandung |
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Digital ITB |
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Indonesia |
| description |
Using group representation, a structure that called group algebra will be learned. This group algebra is a finite dimensional inner product space and also a ring. The ring defined by an addition operation and either convolution or multiplication. This group algebra form an algebra because it has the structure of vector space and ring. An example of algebra homomorphism is Fourier Transformation. This transfor¬mation has a nice property because it is unitary and involutory mapping. Using finite Fourier transformation and group algebra concepts, wave packet transformation will be introduced. Using wave packet transform, an irreducible representation will be formed. Using this property, a set that has similar property to an orthonormal set can be constructed. This set will be called tight frame. |
| format |
Final Project |
| author |
CAHYA WANDITRA (NIM: 10114048), LUCKY |
| spellingShingle |
CAHYA WANDITRA (NIM: 10114048), LUCKY APLICATION OF REPRESENTATION GROUP FOR SIGNAL PROCESSING |
| author_facet |
CAHYA WANDITRA (NIM: 10114048), LUCKY |
| author_sort |
CAHYA WANDITRA (NIM: 10114048), LUCKY |
| title |
APLICATION OF REPRESENTATION GROUP FOR SIGNAL PROCESSING |
| title_short |
APLICATION OF REPRESENTATION GROUP FOR SIGNAL PROCESSING |
| title_full |
APLICATION OF REPRESENTATION GROUP FOR SIGNAL PROCESSING |
| title_fullStr |
APLICATION OF REPRESENTATION GROUP FOR SIGNAL PROCESSING |
| title_full_unstemmed |
APLICATION OF REPRESENTATION GROUP FOR SIGNAL PROCESSING |
| title_sort |
aplication of representation group for signal processing |
| url |
https://digilib.itb.ac.id/gdl/view/28639 |
| _version_ |
1821995132601237504 |