Theory of amplitude quantization of random signals
DOI:
https://doi.org/10.3103/S0735272708010044Abstract
Conditions of ideal amplitude quantization of random signal with exact restoration of two-dimension probability density distribution function are defined. Interrelation of time discretization interval and amplitude quantization is shown. As an example transformation of normal random process is considered.
References
- I. T. Turbovich, “Some Extension of Kotelnikov Theorem,” Radiotekhnika 11, No. 4, 5 (1956).
- Y. I. Khurgin and V. I. Yakovlev, Finite Functions in Phisics and Technology (Nauka, Moscow, 1971) [in Russian].
- A. J. Jerri, “The Shannon Theorem—its Varions, Extensions and Applications: a Tutorial Review,” Proc. IEEE 65, No. 11, 1565 (1977).
- A. M. Sharadkin, A. A. Molchanov, and N. N. Merkotun, “Discretization of Stochastic Signals,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 29(1), 71 (1986).
- A. Papoulis, Proc. IEEE 54, No. 7, 947 (1966).
- B. R. Levin, Theoretical Principles of Statistics Radio Engineering, Vol. 1 (Sov. Radio, Moscow, 1974) [in Russian].
- I. P. Knyshev, Quantizing Error of Random Signals, Methods and Devices of Signal Shaping and Processing, (RGRTA, Ryazan, 2004) [in Russian].
- A. A. Kosyakin, “Statistical Theory of Amplitude Quantization,” Avtomatika i Telemekhanika 22, No. 6, 722 (1961).
- J. Max, “Quantizing for Minimum Distortion,” IRE Trans. IT–66, No. 3, 7 (1960).
- M. D. Paez and T. H. Glisson, “Minimum Mean Squared—Error Quantization in Speech,” IEEE Trans. COM–20, No. 4, 225 (1972).
- I. P. Knyshev, “Optimization of Analog-Digital Converters on Univariate Distribution Parameters,” Radiotekh. Elektron. 32, No. 5, 971 (1987).
- L. A. Baranov, Amplitude Quantization and Time Discretization in Digital Controlling Systems (Energoatomizdat, Moscow, 1987) [in Russian].
- S. Z. Kuz’min, Theoretical Principles of Digital Radiolocating Information (Sov. Radio, Moscow, 1974) [in Russian].
- I. P. Knyshev, “Sampling Theorem in Amplitude Quantization of Random Signals,” Radiotekh. Elektron. 47, No. 12, 1490 (2002).
- I. P. Knyshev, “Time and Amplitude Bases and Volume of Random Signal,” Elektomagnitnye Volny i Elektronnye Sistemy 9, No. 12, 52 (2004).
Downloads
Published
2008-01-04
Issue
Section
Research Articles