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Group delay and phase delay
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==References== {{FS1037C}} {{reflist|refs= <ref name="Ashley1980">{{cite conference |author=Ashley, J. |title=Group and phase delay requirements for loudspeaker systems |conference=ICASSP '80. IEEE International Conference on Acoustics, Speech, and Signal Processing |year=1980 |volume=5 |pages=1030–1033 |doi=10.1109/ICASSP.1980.1170852}}</ref> <ref name="FlanaganMooreStone2005">{{cite journal |last1=Flanagan |first1=Sheila |last2=Moore |first2=Brian C. J. |last3=Stone |first3=Michael A. |title=Discrimination of Group Delay in Clicklike Signals Presented via Headphones and Loudspeakers |journal=Journal of the Audio Engineering Society |year=2005 |volume=53 |issue=7/8 |pages=593–611 |url=http://www.aes.org/e-lib/browse.cfm?elib=13428}}</ref> <ref name="TrueTimeDelay">{{cite web |title=True Time Delay |publisher=Microwaves101, [[IEEE]] |url=http://www.microwaves101.com/microwave-encyclopedia/752-true-time-delay |author=<!--Not stated-->}}</ref> <ref name="Smith">{{cite book |chapter=Phase Delay and Group Delay |title=Music 320 Background Reader |author=Julius O. Smith III |publisher=Department of Electrical Engineering, [[Stanford University]] |url=http://www.technick.net/public/code/cp_dpage.php?aiocp_dp=guide_dft_phase_delay_group}}</ref> <ref name="BlauertLaws1978">{{cite journal |last1=Blauert |first1=J. |last2=Laws |first2=P. |title=Group Delay Distortions in Electroacoustical Systems |journal=Journal of the Acoustical Society of America |volume= 63 |number= 5 |pages= 1478–1483 |date= May 1978 |doi=10.1121/1.381841 |bibcode = 1978ASAJ...63.1478B |url=https://community.klipsch.com/forums/storage/3/1027021/7805blauert.pdf |archive-url=https://web.archive.org/web/20150930080912/https://community.klipsch.com/forums/storage/3/1027021/7805blauert.pdf |archive-date=2015-09-30}}</ref> <ref name="Bariska">{{cite web |last=Bariska |first=Andor |date=2008 |title=Negative Group Delay |url=https://inst.eecs.berkeley.edu/~ee123/sp14/NegativeGroupDelay.pdf |url-status=live |archive-url=https://web.archive.org/web/20211016075107/https://inst.eecs.berkeley.edu/~ee123/sp14/NegativeGroupDelay.pdf |archive-date=2021-10-16 |access-date=2022-10-28 |at=Physical Meaning of Negative Group Delay?}}</ref> <ref name="Liski2018">{{cite conference |last1=Liski |first1=J. |last2=Mäkivirta |first2=A. |last3=Välimäki |first3=V. |year=2018 |title=Audibility of loudspeaker group-delay characteristics |conference=144th Audio Engineering Society International Convention, Paper Number 10008 |pages=879–888 |publisher=Audio Engineering Society |access-date=2022-05-21 |url=https://acris.aalto.fi/ws/portalfiles/portal/52513428/Audibility_of_Loudspeaker_Group_Delay_Characteristics_AAM.pdf |archive-url=https://ghostarchive.org/archive/20221009/https://acris.aalto.fi/ws/portalfiles/portal/52513428/Audibility_of_Loudspeaker_Group_Delay_Characteristics_AAM.pdf |archive-date=2022-10-09 |url-status=live}}</ref> <ref name="Preis1982">{{cite journal |first=D. |last=Preis |title=Phase Distortion and Phase Equalization in Audio Signal Processing — A Tutorial Review |journal=Journal of the Audio Engineering Society |volume=30 |pages=774–794 |year=1982 |issue=11 |url=http://www.aes.org/e-lib/browse.cfm?elib=3810 |access-date=2022-05-22}}</ref> <ref name="Adam2007">{{cite conference |title=Correction of Crossover Phase Distortion Using Reversed Time All-Pass IIR Filter |last1=Adam |first1=Veronique |last2=Benz |first2=Sebastien |conference=122nd Audio Engineering Society Convention |year=2007 |url=http://www.aes.org/e-lib/browse.cfm?elib=14096 |access-date=2022-05-22}}</ref> <ref name="Makivirta2018">{{cite journal |title=Modeling and Delay-Equalizing Loudspeaker Responses |last1=Mäkivirta |first1=Aki |last2=Liski |first2=Juho |last3=Välimäki |first3=Vesa |journal=Journal of the Audio Engineering Society |volume=66 |number=11 |pages=922–934 |year=2018 |doi=10.17743/jaes.2018.0053 |s2cid=85506559 |url=http://www.aes.org/e-lib/browse.cfm?elib=19869 |access-date=2022-05-22 |doi-access=free}}</ref> <ref name="Liski2021">{{cite journal |last1=Liski |first1=Juho |last2=Mäkivirta |first2=Aki |last3=Välimäki |first3=Vesa |journal=IEEE/ACM Transactions on Audio, Speech, and Language Processing |title=Audibility of Group-Delay Equalization |year=2021 |volume=29 |pages=2189–2201 |doi=10.1109/TASLP.2021.3087969 |s2cid=236192266 |doi-access=free}}</ref> <ref name="PlompSteeneken1969">{{cite journal |last1=Plomp |first1=R. |last2=Steeneken |first2=H. 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M. |title=Effect of Phase on the Timbre of Complex Tones |journal=The Journal of the Acoustical Society of America |volume=46 |number=2B |pages=409–421 |year=1969 |doi=10.1121/1.1911705 |pmid=5804112 |bibcode=1969ASAJ...46..409P}}</ref> <ref name="Moller1975">{{cite journal |title=Loudspeaker phase measurements, transient response and audible quality |last=Möller |first=Henning |journal=Brüel & Kjaer |issue=Application Note 17-198 |year=1975 |url=https://www.bksv.com/media/doc/17-198.pdf |archive-url=https://ghostarchive.org/archive/20221009/https://www.bksv.com/media/doc/17-198.pdf |archive-date=2022-10-09 |url-status=live |access-date=2022-05-22}}</ref> <ref name="McClellanParksRabiner1973">{{cite journal |last1=McClellan |first1=J. |last2=Parks |first2=T. |last3=Rabiner |first3=L. |journal=IEEE Transactions on Audio and Electroacoustics |title=A computer program for designing optimum FIR linear phase digital filters |year=1973 |volume=21 |number=6 |pages=506–526 |doi=10.1109/TAU.1973.1162525}}</ref> <ref name="RabinerGold1975">{{cite book |last1=Rabiner |first1=Lawrence R. |last2=Gold |first2=Bernard |year=1975 |title=Theory and Application of Digital Signal Processing |location=Englewood Cliffs, New Jersey |publisher=Prentice-Hall, Inc. |isbn=0-13-914101-4}}</ref> <ref name="OppenheimWillskyNawab1997">{{cite book |last1=Oppenheim |first1= Alan V. |last2=Willsky |first2=Alan S. |last3=Nawab |first3=Hamid |title=Signals and Systems |publisher=Prentice-Hall, Inc. |location=Upper Saddle River, New Jersey |year=1997 |isbn=0-13-814757-4}}</ref> <ref name="OppenheimSchafer2010">{{cite book |last1=Oppenheim |first1=Alan V. |last2=Schafer |first2=Ronald W. |title=Discrete-Time Signal Processing |publisher=Pearson Education Limited |location=England |year=2010|isbn=978-0-13-198842-2}}</ref> <ref name="OppenheimSchafer2014">{{cite book |last1=Oppenheim |first1=Alan V. |last2=Schafer |first2=Ronald W. |title=Discrete-Time Signal Processing |publisher=Pearson Education Limited |location=England |year=2014|isbn=978-1-292-02572-8}}</ref> <ref name="Ambardar1999">{{cite book |last1=Ambardar |first1=Ashok |title=Analog and Digital Signal Processing |edition=Second |publisher=Cengage Learning |year=1999 |isbn=9780534954093}}</ref> <ref name="Leach1989">{{cite journal |first=W. Marshall |last=Leach, Jr. |title=The Differential Time-Delay Distortion and Differential Phase-Shift Distortion as Measures of Phase Linearity |journal=Journal of the Audio Engineering Society |volume=37 |number=9 |pages=709–715 |year=1989 |url=https://leachlegacy.ece.gatech.edu/papers/phasedist.pdf |archive-url=https://ghostarchive.org/archive/20221009/https://leachlegacy.ece.gatech.edu/papers/phasedist.pdf |archive-date=2022-10-09 |url-status=live}}</ref> <ref name="OppenheimSchaferBuck1999">{{cite book |last1=Oppenheim |first1=Alan V. |last2=Schafer |first2=R. W. |last3=Buck |first3=J. R. |title=Discrete-Time Signal Processing |location=Upper Saddle River, New Jersey |publisher=Prentice-Hall, Inc. |year=1999 |isbn=0-13-754920-2}}</ref> <ref name="NakanishiSugiyamaKitan2002">{{cite journal |last1=Nakanishi |first1=Toshihiro |last2=Sugiyama |first2=K. |last3=Kitano |first3=M. |date=2002-01-01 |title=Demonstration of negative group delays in a simple electronic circuit |journal=[[American Journal of Physics]] |volume=70 |issue=11 |pages=1117–1121 |doi=10.1119/1.1503378 |arxiv=quant-ph/0201001 |bibcode=2002AmJPh..70.1117N |s2cid=39928138}}</ref> <ref name="CastorPerry">{{cite web |last=Castor-Perry |first=Kendall |date=2020-03-18 |title=Five things to know about prediction and negative-delay filters |url=https://www.planetanalog.com/five-things-to-know-about-prediction-and-negative-delay-filters/ |url-status=live |archive-url=https://web.archive.org/web/20220628090824/https://www.planetanalog.com/five-things-to-know-about-prediction-and-negative-delay-filters/ |archive-date=2022-06-28 |access-date=2023-06-13 |website=planetanalog.com}}</ref> <ref name="aolson">{{cite web |title=EELE503: Modern filter design |author=<!--Not stated--> |year=2011 |url=https://www.montana.edu/aolson/ee503/EELE503_filters.pdf |page=11}}</ref> <ref name="Keysight">{{cite web |title=Deviation from Linear Phase |author=Keysight Technologies, Inc. |url=https://helpfiles.keysight.com/csg/N52xxB/Tutorials/Phase_Devi.htm |access-date=2024-09-09}}</ref> }}
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