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Some remarks on the existence of optimal quantizers |
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| Authors: | Efren F Abaya Gary L Wise |
| Institution: | Department of Electrical Engineering, University of the Philippines, Diliman, Quezon City 3004, Philippines;Departments of Electrical Engineering and Mathematics, University of Texas at Austin, Austin, TX 78712, USA |
| Abstract: | Necessary and sufficient conditions are given for the existence of optimal k-dimensional quantizers that minimize a distortion measure E{W(X)C(X ? Q(X))}. An example is given in which a globally optimal quantizer does not exist. |
| Keywords: | optimal quantization error-based cost functions |
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