I know the snr after μ-law compression is

$\text{SNR}\approx\frac{3L^2}{[\ln(1+ \mu)]^2}$ when $\mu \gg \frac{\max_t m(t)}{\text{rms}(m(t))}$,

where $m(t)$ is the message signal, and
$L$ the number of levels.

Can anyone give the idea how it came or the proof?

  • $\begingroup$ I don't understand. Your "mp" or $a$ is both time-variant, so it needs to be $a(t)$, and it actually is the message signal $m(t)$, isn't it? $\endgroup$ Sep 10, 2020 at 9:50
  • $\begingroup$ mp is the maximum value of the message signal m(t) $\endgroup$
    – Zemi Alvez
    Sep 10, 2020 at 9:59


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