Iterative algorithm for designing asymptotically optimal uniform scalar quantisation of the one‐sided Rayleigh density
Open Access
- 1 February 2021
- journal article
- research article
- Published by Institution of Engineering and Technology (IET) in IET Communications
- Vol. 15 (5), 723-729
- https://doi.org/10.1049/cmu2.12114
Abstract
Design of optimal and asymptotically optimal quantisation subject to the mean squared error (MSE) criterion is a complex issue, even in the case of uniform scalar quantisation (USQ). The reason is that the MSE distortion dependence on the key designing parameter of USQ for source densities with infinite supports are complex and limit analytical optimisation of USQs. This issue of USQ design has been addressed for some source densities derived from the generalised gamma density. However, to the best of our knowledge, USQ for the one‐sided Rayleigh density has not been studied in detail. This has prompted our research so that this study provides a detailed analysis of USQ for the one‐sided Rayleigh density and proposes an iterative algorithm for its asymptotically optimal design. To estimate signal to quantisation noise ratio, we derive an asymptotic formula having reasonable accuracy for rates higher than 3 bits/sample. Our analysis can be useful in digital‐to‐analogue and analogue‐to‐digital conversion in diversity systems, orthogonal frequency division multiplexing systems and medical image processing.Keywords
This publication has 24 references indexed in Scilit:
- On the Optimization of Iterative Clipping and Filtering for PAPR Reduction in OFDM SystemsIEEE Access, 2017
- Asymptotic analysis and design of restricted uniform polar quantizer for Gaussian sourcesDigital Signal Processing, 2016
- Efficient tone reservation peak‐to‐average power ratio reduction system with optimal clipping for orthogonal frequency division multiplexing systemsIET Communications, 2015
- Quantization error in magnetic resonance imagingConcepts in Magnetic Resonance Part A, 2014
- Effect of number of sub-carriers, cyclic prefix and analogue to digital converter parameters on coherent optical orthogonal frequency division multiplexing modem's transmission performanceIET Communications, 2010
- Magnetic resonance noise measurements and signal-quantization effects at very low noise levelsMagnetic Resonance in Medicine, 2008
- Multiple-channel optimized quantizers for Rayleigh fading channelsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- On the Support of Fixed-Rate Minimum Mean-Squared Error Scalar Quantizers for a Laplacian SourceIEEE Transactions on Information Theory, 2004
- On the support of MSE-optimal, fixed-rate, scalar quantizersIEEE Transactions on Information Theory, 2001
- Asymptotic analysis of optimal fixed-rate uniform scalar quantizationIEEE Transactions on Information Theory, 2001