{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T02:08:28Z","timestamp":1740103708160,"version":"3.37.3"},"reference-count":49,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,7,17]],"date-time":"2020-07-17T00:00:00Z","timestamp":1594944000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61271354","142102210431"],"award-info":[{"award-number":["61271354","142102210431"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Henan Province Science and Technology Key Project","award":["61271354","142102210431"],"award-info":[{"award-number":["61271354","142102210431"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,7,17]]},"abstract":"<jats:p>The coprime discrete Fourier transform (DFT) filter banks provide an effective scheme of spectral sensing for wide-sense stationary (WSS) signals in case that the sampling rate is far lower than the Nyquist sampling rate. And the resolution of the coprime DFT filter banks in the Fourier domain (FD) is <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mfenced open=\"|\" close=\"|\" separators=\"|\"><mml:mrow><mml:mn>2<\/mml:mn><mml:mi>\u03c0<\/mml:mi><mml:mo>\/<\/mml:mo><mml:mrow><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:mi>M<\/mml:mi><mml:mi>N<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><\/mml:mfenced><\/mml:math>, where <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mi>M<\/mml:mi><\/mml:math> and <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mi>N<\/mml:mi><\/mml:math> are coprime. In this work, a digital fractional Fourier transform- (DFrFT-) based coprime filter banks spectrum sensing method is suggested. Our proposed method has the same sampling principle as the coprime DFT filter banks but has some advantages compared to the coprime DFT filter banks. Firstly, the fractional power spectrum of the chirp-stationary signals which are nonstationary in the FD can be sensed effectively by the coprime DFrFT filter banks because of the linear time-invariant (LTI) property of the proposed system in discrete-time Fourier domain (DTFD), while the coprime DFT filter banks can only sense the power spectrum of the WSS signals. Secondly, the coprime DFrFT filter banks improve the resolution from <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:mfenced open=\"|\" close=\"|\" separators=\"|\"><mml:mrow><mml:mn>2<\/mml:mn><mml:mi>\u03c0<\/mml:mi><mml:mo>\/<\/mml:mo><mml:mrow><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:mi>M<\/mml:mi><mml:mi>N<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><\/mml:mfenced><\/mml:math> to <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M5\"><mml:mfenced open=\"|\" close=\"|\" separators=\"|\"><mml:mrow><mml:mn>2<\/mml:mn><mml:mi>\u03c0<\/mml:mi><mml:mtext>\u2009<\/mml:mtext><mml:mi mathvariant=\"normal\">sin<\/mml:mi><mml:mtext>\u2009<\/mml:mtext><mml:mi>\u03b1<\/mml:mi><mml:mo>\/<\/mml:mo><mml:mrow><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:mi>M<\/mml:mi><mml:mi>N<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><\/mml:mfenced><\/mml:math> by combining the fractional filter banks theory with the coprime theory. Simulation results confirm the obtained analytical results.<\/jats:p>","DOI":"10.1155\/2020\/2608613","type":"journal-article","created":{"date-parts":[[2020,7,17]],"date-time":"2020-07-17T23:30:59Z","timestamp":1595028659000},"page":"1-17","source":"Crossref","is-referenced-by-count":0,"title":["Sensing Fractional Power Spectrum of Nonstationary Signals with Coprime Filter Banks"],"prefix":"10.1155","volume":"2020","author":[{"given":"Xiaomin","family":"Li","sequence":"first","affiliation":[{"name":"School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing, China"},{"name":"School of Mechanical and Electrical Engineering, Henan Institute of Science and Technology, Xinxiang, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2084-6110","authenticated-orcid":true,"given":"Huali","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Communication, The Army Engineering University of PLA, Nanjing, 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