Write a program to design a 4-bit VQ codebook $L_1$ (i.e., use $L=16$ codebook entries) with codebook dimension, $N=4$ (Figure 3.23). Use $n=100$ training vectors per codebook entry and a distortion threshold, $\varepsilon=$ 0.00001. For VQ-training choose zero mean and unit variance Gaussian vectors.
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Figure 3.24. A three-stage vector quantizer.