INSTANTANEOUS COMPANDING OF QUANTIZED SIGNALS 



703 



minimizes the total (luantizing error power, when the probability density 

 is specified by (A-5). Table I summarizes the important properties 

 which may be derived by replacing (8) by (A-7) in the pre\'ious detailed 

 analysis of the /x-ensemble. 



(a) Compression Characteristics 



Compression characteristics, corresponding to various values of m are 

 displayed in Figs. 21 and 22 for direct comparison with the curves in 

 Figs. 8 and 4. The ^/? -characteristics assign very little weight to the larger 

 signal amplitudes in view of the infrequent occurrence of the latter. 



10" 



> 



10" 



10" 



10" 



4 6 8 



10" 



4 6 8 



e/v 



10" 



4 6 8 



Fig. 22 — Logarithmic replot of compression curves of the type shown in Fig. 

 21 to indicate detailed behavior for weak samples. These may be compared with 

 the M-ensemble curves in Fig. 4. 



