Abstract
We want to acknowledge Michael Gerzon of Oxford who had been an early pioneer of one bit audio.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Airault, H., McKean, H.P., Moser J.: Rational and elliptic solutions of the Korteweg-de Vries and a related many-body problem. Comm. Pure Appl. Math, 30, 95–148, (1977)
Brent, R. P., Gustavson, F. G., Yun, D. Y. Y.: Fast solution of Toeplitz systems of equations and computation of Padé approximants, J. Algorithms, 1, 259–295, (1980)
Candy, J.: A use of limit cycle oscillations to obtain robust analog-to-digital converters. IEEE Trans. Commun., COM-22, 298–305, (1974)
Candy, J.: An overview of basic concepts. In: Delta-Sigma Converters. IEEE Press, 1–43, (1997)
Chudnovsky, D.V., Chudnovsky, G.V., Czarkowski, D., Selesnik, I.: Solving the Optimal PWM Problem for Single-Phase Inverters, IEEE Trans. Circuits and Systems — I, 49, 465–475, (2002)
Chudnovsky, D.V., Chudnovsky, G.V.,: Transcendental methods and theta-functions. Proc. Symp. Pure Mathematics, AMS, Providence, RI, v. 49,part 2, 167–232, (1989)
Chudnovsky, D.V., Chudnovsky, G.V.,: Explicit Continued Fractions and Quantum Gravity, Acta Applic. Math, Kluwer, Netherlands, 36, 167–185, (1994)
Chudnovsky, D.V., Chudnovsky, G.V.,: Laws of composition of Bäckmnd transformations and the universal form of completely integrable systems in dimensions two and three. Proc. Natl. Acad. Sci. USA, 80, 1774–1777, (1983)
Chudnovsky, D.V., Chudnovsky, G.V.,: Pole expansions of nonlinear partial differential equations. Nuovo Cimento, 40B, 339–353, (1977)
Chudnovsky, D.V., Chudnovsky, G.V.,: On expansion of algebraic functions in power and Puiseux series, I, II. J. Complexity, 2, 271–294, (1986); 3, 1–25, (1987)
Craven, P., Gerzon, M.: Lossless coding for audio discs. J. Audio Eng. Soc., 706–719 (1996)
Cutler, C: Transmission systems employing quantization. US Patent 2,927,962, (1960)
Gray, R.: Oversampled sigma-delta modulation. IEEE Trans. Commun., COM-35, 481–489, (1987)
Gray, R: Spectral analysis of quantization noise in single-loop sigma-delta modulation with dc inputs. IEEE Trans. Commun., COM-36, 588–599, (1989)
Gray, R.: Quantization noise in Delta-Sigma A/D converters. In: Delta-Sigma Converters, IEEE Press, 44–74, (1997)
Gray, R., Chou, W., Wong, P.: Quantization noise in single-loop sigma-delta modulation with sinusoidal inputs. IEEE Trans. Inform. Theory, IT-35, 956–968, (1989)
Gray, R., Neuhoff, D.: Quantization. IEEE Trans. Inform. Theory, IT-44, 2325–2375, (1998)
Gunturk, C: Improved error estimates for first order sigma-delta systems. In: International Workshop on Sampling Theory and Applications (Samp TA’99), Norway, (1999)
Inose, H., Yasuda, Y.: A unit bit coding method by negative feedback. Proc. IEEE, 51, 1524–1535, (1963)
Knuth, D.: The Art of Computer Programming, v. 2, Addison-Wesly, (1981)
Littlewood, D. E.: The Theory of Group Characters, Oxford University Press, (1958)
MacMahon, P.A.: Combinatory Analysis, v.I, II, Cambridge University Press, (1915)
S. Norsworthy, R. Schreier, G. Temes, (eds.), Delta-Sigma Data Converters. Theory, Design and Simulation, IEEE Press, (1997)
Patel, H. S., Hoft, R. G.: Generalized technique of harmonic elimination and voltage control in thyristor inverters: Part I harmonic elimination. IEEE Trans. Ind. Applicat., 310–317, (1973)
Szego, G.: Orthogonal Polynomials, AMS, Providence, RI, (1978)
Falqui, G, Magri, F., Padroni, M., Zubelli, J.P.: An elementary approach to the polynomial τ-functions of the KP hierarchy. Theor. Math. Physics, 122, 17–28, (2000)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer Science+Business Media New York
About this chapter
Cite this chapter
Chudnovsky, D.V., Chudnovsky, G.V. (2004). One Bit World. In: Chudnovsky, D., Chudnovsky, G., Nathanson, M. (eds) Number Theory. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9060-0_3
Download citation
DOI: https://doi.org/10.1007/978-1-4419-9060-0_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6490-3
Online ISBN: 978-1-4419-9060-0
eBook Packages: Springer Book Archive