Abstract
Passivity theory is used to examine the stability of a generalized decision feedback structure which incorporates a general memoryless non-linearity. This non-linearity is considered in lieu of the nearest neighbor quantizer conventionally used for generating data estimates that are fed back. By associating error propagation recovery in a finite time with stability, we determine an optimal class of memoryless non-linearities. This class includes the saturation characteristic. Among constrained quantization rules, we also determine the optimal size of a quantizer deadband region - a problem that has been previously been raised in the literature on erasures in decision feedback equalization. These new general structures are shown theoretically to have superior error propagation suppression characteristics to the conventional decision feedback equalizer. The theoretical results are corroborated by a set of simulations.
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© 2001 Springer-Verlag London Limited
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Kennedy, R.A., Ding, Z., Hasnie, S. (2001). Quantizer Optimization:Application of Passivity in Telecommunications. In: Goodwin, G. (eds) Model Identification and Adaptive Control. Springer, London. https://doi.org/10.1007/978-1-4471-0711-8_8
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DOI: https://doi.org/10.1007/978-1-4471-0711-8_8
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