Quantization noise spectra

作者: R.M. Gray

DOI: 10.1109/18.59924

关键词: Spectral analysisModulationDelta modulationControl theoryScalar quantizationNoiseMathematicsAlgorithmSpectral linePulse-code modulationDither

摘要: Several results describing the behavior of quantization noise in a unified and simplified manner are discussed. Exact formulas for quantizer spectra developed. They applied to variety systems inputs, including scalar (PCM), dithered PCM, sigma-delta modulation, two-stage second-order modulation. >

参考文章(43)
Ning He, A. Buzo, F. Kuhlmann, A frequency domain waveform speech compression system based on product vector quantizers international conference on acoustics, speech, and signal processing. ,vol. 11, pp. 3031- 3034 ,(1986) , 10.1109/ICASSP.1986.1168595
C. Barnes, Boi Tran, Shu Leung, On the statistics of fixed-point roundoff error IEEE Transactions on Acoustics, Speech, and Signal Processing. ,vol. 33, pp. 595- 606 ,(1985) , 10.1109/TASSP.1985.1164611
David Slepian, On Delta Modulation Bell System Technical Journal. ,vol. 51, pp. 2101- 2137 ,(1972) , 10.1002/J.1538-7305.1972.TB01917.X
A. R. Bergen, R. L. Franks, Justification of the Describing Function Method Siam Journal on Control. ,vol. 9, pp. 568- 589 ,(1971) , 10.1137/0309041
W. Chou, R.M. Gray, Dithering and its effects on sigma-delta and multistage sigma-delta modulation IEEE Transactions on Information Theory. ,vol. 37, pp. 500- 513 ,(1991) , 10.1109/18.79906
A. C. Clavier, P. F. Panter, D. D. Grieg, PCM distortion analysis Electrical Engineering. ,vol. 66, pp. 1110- 1122 ,(1947) , 10.1109/EE.1947.6443833
B. Widrow, Statistical analysis of amplitude-quantized sampled-data systems Transactions of the American Institute of Electrical Engineers, Part II: Applications and Industry. ,vol. 79, pp. 555- 568 ,(1961) , 10.1109/TAI.1961.6371702
David J. Goodman, Larry J. Greenstein, Quantizing Noise of ΔM/PCM Encoders Bell System Technical Journal. ,vol. 52, pp. 183- 204 ,(1973) , 10.1002/J.1538-7305.1973.TB01958.X
W. R. Bennett, Spectra of quantized signals Bell System Technical Journal. ,vol. 27, pp. 446- 472 ,(1948) , 10.1002/J.1538-7305.1948.TB01340.X