Διαφορά μεταξύ των αναθεωρήσεων του «Διακριτός μετασχηματισμός Φουριέ»

{{Reflist}}
 
== Βιβλιογραφία ==
== Αναφορές ==
* {{Πρότυπο:Cite book|title=The fast Fourier transform and its applications|last=Brigham|first=E. Oran|publisher=Prentice Hall|year=1988|isbn=0-13-307505-2|location=Englewood Cliffs, N.J.}}
* {{Πρότυπο:Cite book|title=Discrete-time signal processing|publisher=Prentice Hall|year=1999|isbn=0-13-754920-2|location=Upper Saddle River, N.J.|author=[[Alan V. Oppenheim|Oppenheim, Alan V.]]; [[Ronald W. Schafer|Schafer, R. W.]]; and Buck, J. R.}} CS1 maint: Multiple names: authors list (link)
* {{Πρότυπο:Cite book|url=http://www.dspguide.com/ch8/1.htm|title=The Scientist and Engineer's Guide to Digital Signal Processing|last=Smith|first=Steven W.|publisher=California Technical Publishing|year=1999|isbn=0-9660176-3-3|edition=Second|location=San Diego, Calif.|chapter=Chapter 8: The Discrete Fourier Transform}}
* {{Πρότυπο:Cite book|title=[[Introduction to Algorithms]]|last=Cormen|first=Thomas H.|authorlink=Thomas H. Cormen|publisher=MIT Press and McGraw-Hill|year=2001|isbn=0-262-03293-7|edition=Second|pages=822–848|author2=[[Charles E. Leiserson]]|author3=[[Ronald L. Rivest]]|author4=[[Clifford Stein]]|chapter=Chapter 30: Polynomials and the FFT}} esp. section 30.2: The DFT and FFT, pp. 830–838.
* {{Πρότυπο:Cite journal|title=On computing the inverse DFT|journal=IEEE Trans. Acoust., Speech and Sig. Processing|issue=2|doi=10.1109/29.1519|year=1988|volume=36|pages=285–286|author1=P. Duhamel|author2=B. Piron|author3=J. M. Etcheto}}
* {{Πρότυπο:Cite journal|title=Eigenvalues and eigenvectors of the discrete Fourier transformation|journal=IEEE Trans. Audio Electroacoust.|issue=1|doi=10.1109/TAU.1972.1162342|year=1972|volume=20|pages=66–74|author1=J. H. McClellan|author2=T. W. Parks}}
* {{Πρότυπο:Cite journal|title=Eigenvectors and functions of the discrete Fourier transform|journal=IEEE Trans. Acoust., Speech and Sig. Processing|issue=1|doi=10.1109/TASSP.1982.1163843|year=1982|volume=30|pages=25–31|author1=Bradley W. Dickinson|author2=Kenneth Steiglitz}} (Note that this paper has an apparent typo in its table of the eigenvalue multiplicities: the +''i''/−''i'' columns are interchanged. The correct table can be found in McClellan and Parks, 1972, and is easily confirmed numerically.)
* {{Πρότυπο:Cite journal|title=The eigenvectors of the discrete Fourier transform|journal=J. Math. Anal. Appl.|issue=2|doi=10.1016/0022-247X(82)90199-8|year=1982|volume=88|pages=355–363|author=F. A. Grünbaum}}
* {{Πρότυπο:Cite journal|title=Fractional Fourier-Kravchuk transform|journal=J. Opt. Soc. Am. A|issue=7|doi=10.1364/JOSAA.14.001467|year=1997|volume=14|pages=1467–1477|bibcode=1997JOSAA..14.1467A|author1=Natig M. Atakishiyev|author2=Kurt Bernardo Wolf}}
* {{Πρότυπο:Cite journal|title=The discrete fractional Fourier transform|journal=IEEE Trans. on Signal Processing|issue=5|doi=10.1109/78.839980|year=2000|volume=48|pages=1329–1337|bibcode=2000ITSP...48.1329C|author1=C. Candan|author2=M. A. Kutay|author3=H. M.Ozaktas}}
* {{Πρότυπο:Cite journal|title=Hermite-Gaussian-like eigenvectors of the discrete Fourier transform matrix based on the singular-value decomposition of its orthogonal projection matrices|journal=IEEE Trans. Circ. Syst. I|issue=11|doi=10.1109/TCSI.2004.836850|year=2004|volume=51|pages=2245–2254|author=Magdy Tawfik Hanna, Nabila Philip Attalla Seif, and Waleed Abd El Maguid Ahmed}} CS1 maint: Multiple names: authors list (link)
* {{Πρότυπο:Cite journal|title=On the diagonalization of the discrete Fourier transform|journal=Applied and Computational Harmonic Analysis|issue=1|doi=10.1016/j.acha.2008.11.003|year=2009|volume=27|pages=87–99|arxiv=0808.3281|id=preprint at|author1=Shamgar Gurevich|author2=Ronny Hadani}}
* {{Πρότυπο:Cite journal|title=The finite harmonic oscillator and its applications to sequences, communication and radar|journal=IEEE Transactions on Information Theory|issue=9|doi=10.1109/TIT.2008.926440|year=2008|volume=54|pages=4239–4253|arxiv=0808.1495|id=preprint at|author1=Shamgar Gurevich|author2=Ronny Hadani|author3=Nir Sochen}}
* {{Πρότυπο:Cite journal|title=On the multiangle centered discrete fractional Fourier transform|journal=IEEE Sig. Proc. Lett.|issue=4|doi=10.1109/LSP.2005.843762|year=2005|volume=12|pages=273–276|bibcode=2005ISPL...12..273V|author1=Juan G. Vargas-Rubio|author2=Balu Santhanam}}
* {{Πρότυπο:Cite journal|title=The finite Fourier transform|journal=IEEE Trans. Audio Electroacoustics|issue=2|doi=10.1109/TAU.1969.1162036|year=1969|volume=17|pages=77–85|author=[[James Cooley|J. Cooley]], P. Lewis, and P. Welch}} CS1 maint: Multiple names: authors list (link)
* {{Πρότυπο:Cite journal|title=Analytic Expressions of Two Discrete Hermite-Gaussian Signals|journal=IEEE Trans. Circuits and Systems –II: Express Briefs.|issue=1|doi=10.1109/TCSII.2007.909865|year=2008|volume=55|pages=56–60|author=F.N. Kong}}
 
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