Theory of amplitude quantization of random signals

Authors

  • I. P. Knyshev Joint Stock Company "Design & Research Institute for Information Technology, Signaling and Telecommunication on Railway Transport", Russian Federation

DOI:

https://doi.org/10.3103/S0735272708010044

Abstract

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).

Published

2008-01-04

Issue

Section

Research Articles