?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F377%2F&rft.title=Orthogonal+Wavelets+via+Filter+Banks%3A+Theory+and+Applications&rft.creator=Winkler%2C+J.R.&rft.subject=Discrete&rft.subject=Information+and+communication+technology&rft.description=Wavelets+are+used+in+many+applications%2C+including+image+processing%2C+signal+analysis+and+seismology.+The+critical+problem+is+the+representation+of+a+signal+using+a+small+number+of+computable+functions%2C+such+that+it+is+represented+in+a+concise+and+computationally+efficient+form.+It+is+shown+that+wavelets+are+closely+related+to+filter+banks+(sub+band+filtering)+and+that+there+is+a+direct+analogy+between+multiresolution+analysis+in+continuous+time+and+a+filter+bank+in+discrete+time.+This+provides+a+clear+physical+interpretation+of+the+approximation+and+detail+spaces+of+multiresolution+analysis+in+terms+of+the+frequency+bands+of+a+signal.+Only+orthogonal+wavelets%2C+which+are+derived+from+orthogonal+filter+banks%2C+are+discussed.+Several+examples+and+applications+are+considered.&rft.date=2000&rft.type=Study+Group+Report&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.language=en&rft.identifier=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F377%2F1%2FOrthogonal-wavelets-via-filter-banks.pdf&rft.identifier=++Winkler%2C+J.R.++(2000)+Orthogonal+Wavelets+via+Filter+Banks%3A+Theory+and+Applications.++%5BStudy+Group+Report%5D+++++