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The proposed method first uses quantum chaos to encrypt the speech signal and then uses the local mean decomposition (LMD) method to construct a virtual receiving array and convert the underdetermined model to a positive definite model. Finally, the signal is extracted using the Levi flight strategy based on kurtosis and the quantum particle swarm optimization optimized by the greedy algorithm (KLG\u2010QPSO). The bit error rate and similarity coefficient of the voice signal are extracted by testing the source voice signal SA1, SA2, and SI943 under different SNR, and the similarity coefficient, uncertainty, and disorder of the observed signal and the source voice signal SA1, SA2, and SI943 verify the effectiveness of the proposed speech signal extraction method and the security of quantum chaos used in speech signal encryption.<\/jats:p>","DOI":"10.1155\/2021\/6627804","type":"journal-article","created":{"date-parts":[[2021,2,14]],"date-time":"2021-02-14T04:48:53Z","timestamp":1613278133000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Quantum Particle Swarm Optimization Extraction Algorithm Based on Quantum Chaos Encryption"],"prefix":"10.1155","volume":"2021","author":[{"given":"Chao","family":"Li","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mengna","family":"Shi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yanqi","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3161-7225","authenticated-orcid":false,"given":"Erfu","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2021,2,12]]},"reference":[{"key":"e_1_2_11_1_2","doi-asserted-by":"publisher","DOI":"10.1109\/access.2019.2937767"},{"key":"e_1_2_11_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00530-019-00640-w"},{"key":"e_1_2_11_3_2","doi-asserted-by":"publisher","DOI":"10.3390\/electronics9020219"},{"key":"e_1_2_11_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.03.017"},{"key":"e_1_2_11_5_2","first-page":"3895","article-title":"Color image encryption using spatial bit-level permutation and high-dimension chaotic system","volume":"287","author":"Hongjun L.","year":"2010","journal-title":"Optics Communications"},{"key":"e_1_2_11_6_2","first-page":"pp5142","article-title":"An efficient audio encryption based on chaotic logistic map with 3D matrix","volume":"96","author":"Hameed Y. 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