An analysis on equal width quantization and linearly separable subcode encoding-based discretization and its performance resemblances

EURASIP Journal on Advances in Signal Processing

Table 4 A summary of mapping behavior of f(·) and g(·)

Continuous-to-discrete f(·)		Discrete-to-binary g(·)
Quantization scheme	Mapping behaviour	Encoding scheme	Mapping behaviour
Equal-width (EW)	Approximate $\|v_{i_{2}^{d}, j_{2}^{d}}^{d} - v_{i_{1}^{d}, j_{1}^{d}}^{d}\| ≅ ŝ (\|i_{2}^{d} - i_{1}^{d}\|)$	DBR	Indefinite $(\|i_{2}^{d} - i_{1}^{d}\| = H_{D} (b_{i_{2}^{d}}^{d}, b_{i_{1}^{d}}^{d}))$
		BRGC	Indefinite $(\|i_{2}^{d} - i_{1}^{d}\| = H_{D} (b_{i_{2}^{d}}^{d}, b_{i_{1}^{d}}^{d}))$
		LSSC	Definite $(\|i_{2}^{d} - i_{1}^{d}\| = H_{D} (b_{i_{2}^{d}}^{d}, b_{i_{1}^{d}}^{d}))$