On the frequency and amplitude spectrum and the fluctuations at the output of a communication receiver

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

Volumn 47, Issue 5, 2000, Pages 1173-1182

  Planat, Michel ^a   Eckert, Caroline ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FREQUENCIES; FREQUENCY SYNTHESIZERS; INTERMODULATION; LOW PASS FILTERS; NUMBER THEORY; OSCILLATORS (ELECTRONIC); QUADRATURE PHASE SHIFT KEYING; RESONANCE; SCHOTTKY BARRIER DIODES; SIGNAL RECEIVERS; TIME SERIES ANALYSIS;

AMPLITUDE SPECTRUM; COMMUNICATION RECEIVER; DIOPHANTINE APPROXIMATION; FREQUENCY SPECTRUM; RIEMANN PROBLEM;

MIXER CIRCUITS;

EID: 0034264953     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/58.869063     Document Type: Article

References (23)

1. J. Klapper and J. T. Prankle, Phase-Locked and Frequency-Feedback Systems. New York: Academic, 1972.
2. J. R. Smith, Modern Communication Circuits. Boston: McGraw-Hill, 1997.
3. [3j S. Dos Santos and M. Planât, Arithmetical fractals in an electronic loop, in Fractals and Beyond, M. N. Novak, Ed. Singapore: World Scientific, pp. 29T-306, 1998.
4. [4) S. A. Maas, Microwave Mixers. Norwood, MA: Art.ech House, 1986.
5. D. W. Allan, Time and frequency (time domain) characterization, estimation and prediction of precision clocks and oscillators, IEEE Trans. Ultrason., Ferroelect., Freq. Coji.tr., vol. 34, pp. 647-654, 1987.
6. M. Planât, S. Dos Santos, N. Ratier, J. Cresson, and S. Perrine, Close to resonance interaction of radiofrequency waves in a Schottky diode mixer: 1/f noise arid number theory, in Quantum 1/f Noise and Other Low Frequency Fluctuations in Electronic Devices, A. Chung, Ed. AIP Press, 1Ü99, pp. 177187.
7. J. P. Boucheaud and M. Potters, Eds. Théorie des Risques Financiers. Aléa, Saclay, 1997.
8. M. Planât, Plurifractal signature in the study of resonances of dynamical systems, in Fractals, vol. 1, pp. 727-734. 1993.
9. G. Sugihara and R. M. May, Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series, Nature, vol. 344, pp. 734-741, 1990.
10. P. Grassberger and I. Procaccia, Measuring the strangeness of strange attractors, Physics, vol. D9, pp. 189-208, 1983.
11. [II] N. H. Packard, .1. P. Crutchfield, J. D. Farmer, and R. S. Shaw, Geometry from a time series, Phys. Rev. Lett., vol. 45, pp. 712-716, 1980.
12. R. Mane, On the dimension of the compact invariant sets of certain non-linear maps, Dynamical Systems and Turbulence, D. A. Rand and L. S. Young, Eds. Berlin: Springer, Lectures Notes in Mathematics, vol. 898, pp. 230-242, 1981.
13. J. Theiler, Estimating fractal dimension, J. Opt. Soc. Amer., vol. A7, pp. 1055-1073, 1990.
14. L. A. Smith. Intrinsic limits on dimension calculations, Phys. Lett., vol. A133, pp. 283-288, 1988.
15. M. B. Kennel, R. Brown, and H.D.I. Abarbanel, Determining embedding dimension for phase-space reconstruction using a geometrical construction, Phys. Rev., vol. A45, pp. 3403-3411, 1992.
16. G. Eckert, M. Planât, and J. A.. Miehé, Hidden order in the frequency noise of an electronic oscillator, Phys. Rev., vol. E54, pp. 6093-6101, 1996.
17. S. Perrine, ''L'Arithmétique sur une surface percée, in Oscillators. Annales des Télécommunications, M. Planât, Ed. Paris, vol. 7, pp. 407-420, 1996.
18. P. Cvitanovic, Circle maps: Irrationally winding, in Prom Number Theory to Physics, M. Waldschmidt, P. Moussa, J. M. Luck, and C. Itzykson, Eds. Berlin: Springer Verlag, 1992, pp. 631-658.
19. M. H. Edwards, Riemann's Zeta Function. New York: Academic Press, 1974.
20. M. J. Kirton and M. J. Uren, Noise in solid-state microstructures. A new perspective on individual defects, interface states and low frequencv (1/f) noise, Adv. Phys., vol. 38, pp. 367-468, 1989.
21. K. Tagaki, S. Serikawa, T. Doi, and M. Mukumoto, Phase noise, amplitude noise and their correlation and the low frequency noise reduction method in bipolar transistors, Noise in Physical Systems and 1/f Fluctuations, C. Clays and E. Simoen, Eds. Singapore: World Scientific, 1997, pp. 177-180.
22. D. K. C. MacDonald, Noise and Fluctuations: An Introduction. Paris: Wiley, 1962.
23. M. V. Berry, Semiclassical theory of spectral rigidity, in Proc. R. Son. Loud., vol. A400, pp. 229-251, 1985.