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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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/28639 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | 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. |
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