%0 Journal Article %1 Uesaka:2003:CS %A Uesaka, Kazuyoshi %A Kawamata, Masayuki %D 2003 %J IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing %K IIR S-expressions, algorithms, automatically computability, defined difference digital effects, equations, errors, evolutionary filter filter, filters, fitness fourth-order function functions, genetic global infinite-impulse low-coefficient low-output matrices, matrix measure, method, noise, optimization, programming, representation, response roundoff sensitivity, structures, subroutines, synthesis transfer wordlength %N 12 %P 977--983 %T Evolutionary synthesis of digital filter structures using genetic programming %V 50 %X This paper presents a synthesis method for infinite-impulse response (IIR) digital filter structures using genetic programming with automatically defined functions (GP-ADF). In the proposed method, digital filter structures are represented as S-expressions with subroutines, which are written directly from the set of difference equations. This paper also shows the condition for the constructing the S-expressions that represent the filter structures without delay-free loops. Numerical examples synthesize two-filter structures: the low-coefficient sensitivity fourth-order filter structure and the low-output roundoff noise second-order filter structure.

@article{Uesaka:2003:CS, abstract = {This paper presents a synthesis method for infinite-impulse response (IIR) digital filter structures using genetic programming with automatically defined functions (GP-ADF). In the proposed method, digital filter structures are represented as S-expressions with subroutines, which are written directly from the set of difference equations. This paper also shows the condition for the constructing the S-expressions that represent the filter structures without delay-free loops. Numerical examples synthesize two-filter structures: the low-coefficient sensitivity fourth-order filter structure and the low-output roundoff noise second-order filter structure.}, added-at = {2008-06-19T17:35:00.000+0200}, author = {Uesaka, Kazuyoshi and Kawamata, Masayuki}, biburl = {https://www.bibsonomy.org/bibtex/2eef9df7aa10716f5407ab086c5a87e5e/brazovayeye}, interhash = {4d31bfb2cbbd4d29c63e08748366b3c2}, intrahash = {eef9df7aa10716f5407ab086c5a87e5e}, issn = {1057-7130}, journal = {IEEE Transactions on Circuits and Systems {II}: Analog and Digital Signal Processing}, keywords = {IIR S-expressions, algorithms, automatically computability, defined difference digital effects, equations, errors, evolutionary filter filter, filters, fitness fourth-order function functions, genetic global infinite-impulse low-coefficient low-output matrices, matrix measure, method, noise, optimization, programming, representation, response roundoff sensitivity, structures, subroutines, synthesis transfer wordlength}, month = {December}, notes = {Inspec Accession Number: 7830391}, number = 12, pages = {977--983}, timestamp = {2008-06-19T17:53:25.000+0200}, title = {Evolutionary synthesis of digital filter structures using genetic programming}, volume = 50, year = 2003 }