{"doi":"10.1109/78.258082","title":"Matching pursuits with time-frequency dictionaries","abstract":"The authors introduce an algorithm, called matching pursuit, that decomposes any signal into a linear expansion of waveforms that are selected from a redundant dictionary of functions. These waveforms are chosen in order to best match the signal structures. Matching pursuits are general procedures to compute adaptive signal representations. With a dictionary of Gabor functions a matching pursuit defines an adaptive time-frequency transform. They derive a signal energy distribution in the time-frequency plane, which does not include interference terms, unlike Wigner and Cohen class distributions. A matching pursuit isolates the signal structures that are coherent with respect to a given dictionary. An application to pattern extraction from noisy signals is described. They compare a matching pursuit decomposition with a signal expansion over an optimized wavepacket orthonormal basis, selected with the algorithm of Coifman and Wickerhauser see (IEEE Trans. Informat. Theory, vol. 38, Mar. 1992).< <ETX xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">&gt;</ETX>","journal":"IEEE Transactions on Signal Processing","year":1993,"id":1837,"datarank":31.229944561990774,"base_score":9.115260165725912,"endowment":9.115260165725912,"self_citation_contribution":1.3672890248588871,"citation_network_contribution":29.862655537131886,"self_endowment_contribution":1.3672890248588871,"citer_contribution":29.862655537131886,"corpus_percentile":98.8,"corpus_rank":1368,"citation_count":9092,"citer_count":198,"citers_with_citation_signal":198,"citers_with_endowment":198,"datacite_reuse_total":0,"is_dataset":false,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":"1993-01-01","authors":[{"id":20756,"name":"Zhifeng Zhang","orcid":"0000-0001-7204-8079","position":1,"is_corresponding":false},{"id":20757,"name":"Stéphane Mallat","orcid":"0000-0001-5263-8960","position":2,"is_corresponding":false},{"id":20755,"name":"S.G. Mallat","orcid":null,"position":0,"is_corresponding":true}],"reference_count":17,"raw_metadata":{"citation_network_status":"fetched"},"created_at":"2026-03-01T18:20:47.508186Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}