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EE4047_Part8 - Part 8 Advanced GA Designs(I Hierarchical...

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1 City University of Hong Kong Part 8: Advanced GA Designs (I) Hierarchical Chromosome Structure Biological Inspiration square4 Regulatory Sequences and Structural Genes A B C structural genes promoter DNA transcription initiation site tran-acting factor mRNA polypeptide transcription translation
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2 Biological Inspiration square4 Exon and Intron TRANSCRIPTION intron loop SPLICING coding sequence TRANSLATION protein intron exon exon promoter Hierarchical Chromosome square4 A fixed chromosome structure square4 Consists of two types of genes: Control Genes and Parametric Genes square4 Provide different phenotype structures Parametric genes First level Control genes Second level Control genes
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3 Example 1 square4 Chromosome A X1 = (4,1,3,8) square4 Chromosome B X2 = (3,9) 4 7 1 3 8 9 1 0 1 1 1 0 4 7 1 3 8 9 0 0 0 1 0 1 1 0 1 1 1 0 4 7 1 3 8 9 0 0 0 1 0 1 4 7 1 3 8 9 Example 2 square4 Chromosome A X1 = (4,1) 4 7 1 3 8 9 1 0 1 1 1 0 1 0 4 7 1 3 8 9 1 0 1 1 1 0 1 0
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4 Multiobjective square4 Consider the structure as an objective square4 Selection with Preferable ranking square4 Replacement in group: compete with others in the same group f1 f2 1 1 2 4 Example: IIR Filter Design square4 determination of lowest filter order; square4 the filter must be stable (the poles must lie inside the unit circle) ; and square4 the filter must meet the prescribed tolerance settings
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5 IIR Filter: Chromosome Design For a typical pulse transfer function ) )( )( ( ) )( )( ( ) ( 12 11 2 2 1 12 11 2 2 1 a z a z a z a z b z b z b z b z K z H + + + + + + + + = 1 a 2 a 11 a 12 a 1 b 2 b 11 b 12 b K 1 a z + 2 a z + 12 11 2 a z a z + + 1 b z + 2 b z + 12 11 2 b z b z + + Each parametric gene expressed in 16-bits 1 bit for one control gene Constraints 1 1 < < - i a -1 -1 1 1 -2 2 a j1 a j2 2 1 2 2 1 1 1 1 j j j j a a a a + < < - - < < - ;
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