Principles of Quantization

IEEE Transactions on Circuits and Systems

Volumn 25, Issue 7, 1978, Pages 427-436

  Gersho, Allen ^a,b  

^a LUCENT TECHNOLOGIES   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CODES, SYMBOLIC - ENCODING; DATA CONVERSION, ANALOG TO DIGITAL;

QUANTIZATION;

SIGNAL PROCESSING;

EID: 0017988489     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCS.1978.1084497     Document Type: Article

References (17)

1. B. Widrow, “A study of rough amplitude quantization by means of Nyquist sampling theory,” IRE Trans. Circuit Theory, vol. CT-3, pp. 266–276, 1956.
2. W. R. Bennett, “Spectrum of quantized signals,” Bell Syst. Tech. J., vol. 27, pp. 446–472, July 1948.
3. B. M. Oliver, J. R. Pierce, and C. E. Shannon, “The philosophy of PCM,” Proc. IRE, vol. 36, pp. 1324–1331, 1948.
4. S. P. Lloyd, “Least-squares quantization in PCM,” unpublished memorandum. Bell Laboratories, 1957 (copies available from the author).
5. H. Holzwarth, “PCM and its implementation by logarithmic quantization” (in German), Arch. Elek. Übertragung, vol. 3, pp. 275–285, 1949.
6. K. W. Cattermole, Principles of Pulse Code Modulation. London, England: Elsevier, 1969.
7. J. Lukaszewicz and H. Steinhaus, “On measiuing by comparison” (in Polish), Zastos. Mat., vol. 2, pp. 225–231, 1955.
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9. M. D. Paez and T. H. Glisson, “Minimum mean-squared-error quantization in speech PCM and DPCM systems,” IEEE Trans. Commun., vol. COM-20, pp. 225–230, Apr. 1972.
10. P. Fleischer, “Sufficient conditions for achieving minimum distortion in a quantizer,” IEEE Int. Cone. Rec., pp. 104–111, 1964.
11. P. F. Panter and W. Dite, “Quantizing distortion in pulse–count modulation with nonuniform spacing of levels,” Proc. IRE, vol. 39, pp. 44–48, 1951.
12. B. Smith, “Instantaneous companding of quantized signals,” Bell Syst. Tech. J., vol. 27, pp. 446–472, 1948.
13. G. M. Roe, “Quantizing for minimum distortion,” IEEE Trans. Inform. Theory, vol. IT-10, pp. 384–385, 1964.
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15. T. Berger, Rate Distortion Theory. Englewood Cliffs, NJ: Prentice-Hall, 1971.
16. H. Gish and J. N. Pierce, “Asymptotically efficient quantization,” IEEE Trans. Inform. Theory, vol. IT-14, pp. 676–681, 1968.
17. T. J. Goblick and J. L. Holsinger, “Analog source digitization: A comparison of theory and practice,” IEEE Trans. Inform. Theory, vol. IT-13, pp. 323–326, Apr. 1967.