%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %GENERAL REFERENCES (not specific to quantization) of the BOOK "Quantization Noise" %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @book{Abramowitz-Stegun, author = {Abramowitz, M. and Stegun, I. A.{, eds.}}, year = {1972}, title = {Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables}, address = {New York}, publisher = {Dover Publications}, }, @book{Arsac, author = {Arsac, J.}, year = {1966}, title = {Fourier Transforms and the Theory of Distributions}, address = {Englewood Cliffs, N. J.}, publisher = {Prentice-Hall}, }, @book{Bendat-Piersol, author = {Bendat, J. S. and Piersol, A. G.}, year = {1986}, title = {Random Data: Analysis and Measurement Procedures}, edition = {second, revised and expanded}, address = {New York}, publisher = {Wiley}, note = {First edition: 1971}, }, @book{Bendat-Piersol:1993, author = {Bendat, J. S. and Piersol, A. G.}, year = {1993}, title = {Engineering Applications of Correlation and Spectral Analysis}, edition = {Second}, address = {New York}, publisher = {Wiley}, note = {First edition: 1980}, }, @article{Borel, author = {Borel, E.}, year = {1897}, title = {Sur l'interpolation ({O}n {I}nterpolation)}, journal = {Comptes Rendus des Sciences de l'Acad\'emie des Sciences}, address = {Paris}, volume = {124}, numberna = {n/a}, pages = {673--676}, note = {In French}, }, @book{Bracewell, author = {Bracewell, R. N.}, year = {1986}, title = {The {F}ourier Transform and Its Applications}, edition = {second, revised}, address = {New York}, publisher = {McGraw-Hill}, note = {First published: 1965}, }, @book{Bremermann, author = {Bremermann, H.}, year = {1965}, title = {Distributions, Complex Variables and {F}ourier Transforms}, address = {Reading, MA}, publisher = {Addison--Wesley}, }, @article{Campbell, author = {Campbell, L. L.}, year = {1968}, title = {Sampling Theorem for the {F}ourier Transform of a Distribution with Bounded Support}, journal = {SIAM Journal of Applied Mathematics}, volume = {16}, number = {3}, pages = {626--636}, month = {May}, }, @Article{Bertram, author = "Bertram, J. E.", title = "The Effect of Quantization in Sampled-Feedback Systems", journal = "Transactions of the AIEE, Part 2,", volume = "77", pages = "177--82", year = "1958", language = "English", pub_country = "USA", } @article{Cauchy, author = {Cauchy, A. L.}, year = {1841}, title = {Memoire sur Diverses Formules d'Analyse ({N}otes on Different Formulas in Analysis)}, journal = {Comptes Rendus}, volume = {12}, numberna = {n/a}, pages = {283--298}, note = {In French}, }, @book{Churchill, author = {Churchill, R. V.}, year = {1948}, title = {Introduction to Complex Variables and Applications}, address = {New York}, publisher = {McGraw-Hill}, }, @book{Davenport-Root, author = {Davenport, Jr, W. B. and Root, W. L.}, year = {1987}, title = {An Introduction to the Theory of Random Signals and Noise}, address = {New York}, publisher = {IEEE Press}, note = {First edition: 1958}, }, @incollection{DeMoor, author = {Bart {De Moor}}, title = {Generalizations of the {OSVD}: Structure, Properties and Applications}, booktitle = {{SVD} and Signal Processing, {V}ol.~{II}, Algorithms, Analysis and Applications}, editor = {R. J. Vaccaro}, publisher = {Elsevier Science Publishers {B.V.}}, address = {Amsterdam}, pages = {83--98}, year = {1991}, }, @book{Erdelyi, editor = {Erdelyi, A.}, year = {1954}, title = {Tables of Integral Transforms}, address = {New York}, publisher = {McGraw-Hill}, }, @book{Feller, author = {Feller, W.}, year = {1970}, title = {An Introduction to Probability Theory and Its Applications}, edition = {Third, rev.}, address = {New York}, publisher = {Wiley}, note = {Original edition: 1950}, }, @article{Ferrar, author = {Ferrar, W. L.}, year = {1927}, title = {On the Consistency of Cardinal Function Interpolation}, journal = {Proc.\ Roy.\ Soc.\ Edinburgh}, volume = {47}, numberna = {n/a}, pages = {230--242}, }, @article{Gabor, author = {Gabor, D.}, year = {1946}, title = {Theory of Communication}, journal = {J.\ IEE}, volume = {93}, number = {???}, pages = {429--457}, }, @book{Godfrey, editor = {Godfrey, K.}, title = {Perturbation Signals for System Identification}, year = {1993}, publisher = {Prentice-Hall}, address = {Englewood Cliffs, NJ}, } @book{Gradshteyn-Ryzhik, author = {Gradshteyn, I. S. and I. M. Ryzhik}, year = {1994}, title = {Table of Integrals, Series, and Products}, edition = {Corrected and enlarged}, address = {New York}, publisher = {Academic Press}, }, @unpublished{Hanlon, author = {Hanlon, R. C.}, year = {1995}, title = {Definite Integral of $\sin(xt)/\sin(t)$}, journal = {Mathematica World}, volume = {???}, number = {???}, pages = {???}, month = {???}, note = {Submitted for publication to Mathematica World}, }, @article{Higgins, author = {Higgins, J. R.}, year = {1985}, title = {Five Short Stories about the Cardinal Series}, journal = {Bulletin of the American Mathematical Society}, volume = {12}, number = {1}, pages = {45--89}, }, %month = {???}, @article{Jerri, author = {Jerri, A. J.}, year = {1977}, title = {The {S}hannon Sampling Theorem -- Its Various Extensions and Applications: A Tutorial Review}, journal = {Proceedings of the IEEE}, volume = {65}, number = {11}, month = {Nov}, pages = {1565--96}, }, @book{Kawata, author = {Kawata, T.}, year = {1972}, title = {Fourier Analysis in Probability Theory}, address = {New York}, publisher = {Academic Press}, }, @book{Korn-Korn, author = {Korn, G. A. and Korn, T. M.}, year = {1968}, title = {Mathematical Handbook for Scientists and Engineers; Definitions, Theorems, and Formulas for Reference and Review}, edition = {Second}, address = {New York}, publisher = {McGraw-Hill}, }, @article{Kramer, author = {Kramer, H. P.}, year = {1959}, title = {A Generalized Sampling Theorem}, journal = {Journal of Mathematics and Physics}, volume = {38}, number = {1}, month = {Jan}, pages = {68--72}, }, @book{Laning-Battin, author = {Laning, Jr, J. H. and Battin, R. H.}, year = {1956}, title = {Random Processes in Automatic Control}, address = {New York}, publisher = {McGraw-Hill}, }, @book{Leon-Garcia, author = {Leon-Garcia, A.}, year = {1994}, title = {Probability and Random Processes for Electrical Engineering}, edition = {Second}, address = {Reading, MA}, publisher = {Addison-Wesley}, }, @book{Lighthill, author = {Lighthill, M. J.}, year = {1958}, title = {Introduction to {F}ourier Analysis and Generalized Functions}, address = {Cambridge}, publisher = {Cambridge University Press}, }, @misc{Linvill:DSc, author = {Linvill, W. K.}, year = {1949}, title = {Analysis and Design of Sampled Data Control Systems}, howpublished = {DSc.\ Thesis}, note = {MIT Project Whirlwind Report R-170}, }, @article{Linvill, author = {Linvill, W. K.}, year = {1951}, title = {Sampled-Data Control Systems Studied Through Comparison of Sampling with Amplitude Modulation}, journal = {AIEE Transactions}, volume = {70}, pages = {1779--1788}, }, %number = {???}, %month = {???}, @book{Marks, author = {Marks, R. J. II.\}, year = {1991}, title = {Introduction to {S}hannon Sampling and Interpolation Theory}, address = {New York}, publisher = {Springer-Verlag}, }, @book{Milne-Thomson, author = {Milne-Thomson, L. M.}, year = {1960}, title = {The Calculus of Finite Differences}, address = {London}, publisher = {MacMillan \& Co.\ Ltd.}, edition = {Second}, }, @book{Loeve, author = {Lo{\`e}ve, M.}, year = {1977}, title = {Probability Theory}, edition = {Fourth}, address = {New York}, publisher = {Springer-Verlag}, note = {Original edition: Probability theory: foundations, random sequences, New York, Van Nostrand, 1955}, }, @book{Lukacs, author = {Lukacs, E.}, year = {1970}, title = {Characteristic Functions}, edition = {Second}, address = {London}, publisher = {Griffin}, }, @article{Nyquist, author = {Nyquist, H.}, year = {1928}, title = {Certain Topics in Telegraph Transmission Theory}, journal = {AIEE Transactions}, volume = {47}, numberna = {n/a}, pages = {617--644}, }, @book{Oppenheim-Willsky, author = {Oppenheim, A. V. and Willsky, A. S. and Young, I. T.}, year = {1983}, title = {Signals and Systems}, address = {Englewood Cliffs, NJ}, publisher = {Prentice-Hall}, }, @book{Papoulis:Prob, author = {Papoulis, A.}, year = {1991}, title = {Probability, Random Variables and Stochastic Processes}, address = {New York}, publisher = {McGraw-Hill}, note = {Original edition: 1965} }, @book{Papoulis:Fourier, author = {Papoulis, A.}, year = {1962}, title = {The {F}ourier Integral and Its Applications}, address = {New York}, publisher = { McGraw-Hill}, }, @book{Papoulis:Signal, author = {Papoulis, A.}, year = {1977}, title = {Signal Analysis}, address = {New York}, publisher = { McGraw-Hill}, }, @book{Peebles, author = {P. Z. Peebles}, year = {1976}, title = {Communication System Principles}, address = {Reading, MA}, publisher = {Addison-Wesley}, }, @article{Ragazzini-Zadeh, author = {Ragazzini, J. R. and L. A. Zadeh}, year = {1952}, title = {The Analysis of Sampled-Data Systems}, journal = {AIEE Transactions}, volume = {71}, pages = {225--234}, month = {Nov}, }, %number = {???}, @book{Ramachandran, author = {Ramachandran, B.}, title = {Advanced Theory of Characteristic Functions}, address = {Calcutta}, publisher = {Statistical Publishing Society}, year = {1967}, }, @article{Shannon, author = {Shannon, C. E.}, year = {1949}, title = {Communication in the Presence of Noise}, journal = {Proceedings of the IRE}, volume = {47}, number = {1}, month = {Jan}, pages = {10--21}, }, @book{Statistical-Abstract, author = {{Statistical~Abstract}}, title = {Statistical Abstract of the {U}nited {S}tates: The National Data Book}, edition = {114th}, year = {1994}, publisher = {US Department of Commerce, Economics and Statistics Administration, Bureau of the Census}, }, @book{Hungarian-census, author = {{Hungarian Census}}, title = {1990 Population Census, Detailed Data}, year = {1992}, publisher = {Hungarian Central Statistical Office}, } @article{Whittaker:ET, author = {Whittaker, E. T.}, year = {1915}, title = {On the Functions which are Represented by the Expansion of Interpolating Theory}, journal = {Proceedings of the Royal Society of Edinburgh}, volume = {35}, numberna = {n/a}, pages = {181--194}, }, @article{Whittaker:JM, author = {Whittaker, J. M.}, year = {1929}, title = {The `{F}ourier' Theory of Cardinal Functions}, journal = {Proceedings of the Edinburgh Mathematical Society}, volume = {1}, numberna = {n/a}, pages = {169--176}, }, @book{Whittaker:book, author = {Whittaker, J. M.}, year = {1935}, title = {Interpolatory Function Theory}, address = {Cambridge, England}, publisher = {Cambridge University Press}, series = {Cambridge Tracts in Mathematics and Mathematical Physics}, number = {33}, }, @book{Woodward, author = {Woodward, P. M.}, year = {1964}, title = {Probability and Information Theory, with Applications to Radar}, edition = {Second}, address = {Oxford, New York}, publisher = {Pergamon Press}, note = {First edition: 1953}, }, @article{Zadeh, author = {Zadeh, L. A.}, year = {1952}, title = {A General Theory of Linear Signal Transmission}, journal = {J. Franklin Inst.}, volume = {253}, number = {???}, pages = {293--312}, }, @article{Zakai, author = {Zakai, M.}, year = {1965}, title = {Band-Limited Functions and the Sampling Theorem}, journal = {Information and Control}, volume = {8}, number = {2}, pages = {143--158}, }, %month = {???}, @book{Zemanian, author = {Zemanian, A. H.}, title = {Distribution Theory and Transform Analysis; An Introduction to Generalized Functions, with Applications}, address = {New York}, publisher = {McGraw-Hill}, year = {1965}, }, @book{Wilkinson, author = {J. H. Wilkinson}, title = {Rounding Errors in Algebraic Processes}, publisher = {Dover Publications}, address = {New York}, year = 1994, note = {Original edition: Prentice Hall, 1963}, } @book{Forsythe-Moler, author = {Forsythe, G. and C. Moler}, title = {Computer Solution of Linear Algebraic Systems}, address = {Englewood Cliffs}, publisher = {Prentice-Hall}, year = 1967, } @book{Numerical-recipes, publisher = {Cambridge University Press}, year = {1988}, title = {Numerical Recipes}, author = {W. H. Press and B. P. Flannery and S. A. Teukolsky and W. T. Vetterling}, address = {Cambridge}, } @book{Golub, author = {Golub, Gene G. and van Loan, Charles F.}, title = {Matrix Computations}, publisher = {The Johns Hopkins University Press}, address = {Baltimore and London}, year = 1989, } @Article{Cooley-Tukey, author = "Cooley, J. W. and Tukey, J. W.", title = "An Algorithm for the Machine Computation of Complex {F}ourier Series", journal = "Mathematical Computation", volume = "19", pages = "297--301", month = "April", year = "1965", language = "English", pub_country = "USA", } @book{Franklin-Powell, title = {Digital Control of Dynamic Systems}, author = {Gene F. Franklin and J. David Powell and Michael L. Workman}, year = {1992}, publisher = {Addison-Wesley}, address = {Reading, MA}, note = {Second edition} }, @book{Pintelon-Schoukens, author = {Pintelon, R. and J. Schoukens}, year = {2001}, title = {System Identification: A Frequency Domain Approach}, address = {Piscataway}, publisher = {IEEE Press}, }, @book{Szekely, author = {Gabor J. Szekely}, year = {1986}, title = {Paradoxes in Probability Theory and Mathematical Statistics}, address = {Dordrecht-Boston, MA}, publisher = {Reidel-Kluwer}, note = {New English edition: Springer 2002}, }, @book{Bognar-Mogyorodi-Prekopa, author = {Bogn\'ar, \protect\mbox{Mrs.}, J. and Mogyor\'odi, J. and Pr\'ekopa, A. and R\'enyi, A. and Sz\'asz, D.}, year = {2001}, title = {Val\'osz\'{\i}n\H{u}s\'egsz\'am\'{\i}t\'as feladatgy\H{u}jtem\'eny (Problems in Probability Theory)}, address = {Budapest}, publisher = {Typotex}, note = {In Hungarian} }, @book{Vetier, author = {Vetier, Andr\'as}, year = {1991}, title = {Szeml\'eletes m\'ert\'ek- \'es val\'osz\'{\i}n\H{u}s\'egelm\'elet (Elementary Measure and Probability Theory)}, address = {Budapest}, publisher = {Tank\"onyvkiad\'o}, note = {In Hungarian} },