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0 1 4 0 1 1 NO-TRACE-STRING
0 2 5 0 1 1 NO-TRACE-STRING
0 3 6 0 1 1 NO-TRACE-STRING
0 4 0 0 1 1 NO-TRACE-STRING
0 1 1 0 1 1 NO-TRACE-STRING
0 2 2 0 1 1 NO-TRACE-STRING
0 3 3 0 1 1 NO-TRACE-STRING
0 4 4 0 1 1 NO-TRACE-STRING
0 1 5 0 1 1 NO-TRACE-STRING
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0 1 1 21 15 0 0 3 
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.TXT 5 1 1 0 0
Cg a73.000000,73.000000,217
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard File Name: laplace.mcd  This 
program calculates Signal to Quantization Noise Ratio for input signal 
with Laplacian density without and with mu-law compandor.  The input 
samples and the quantization errors are plotted.}
.EQN 11 0 65 0 0
{0:k}NAME:0;7
.EQN 0 8 66 0 0
({0:sigma}NAME)[({0:k}NAME):\((10)^(-10*({0:k}NAME)/(10)))
.EQN 5 -8 2 0 0
{0:norun}NAME:100
.EQN 0 11 3 0 0
{0:mp}NAME:5
.EQN 0 7 4 0 0
{0:j}NAME:1;{0:norun}NAME
.TXT 0 11 5 0 0
Cg a44.000000,44.000000,48
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard norun is the number of run, mp is 
the peak value}
.EQN 4 -29 59 0 0
{0:j}NAME:1;{0:norun}NAME
.EQN 0 12 70 0 0
({0:m}NAME)[({0:j}NAME):{0:rnd}NAME(2*{0:mp}NAME)-{0:mp}NAME
.EQN 5 -12 71 0 0
({0:lap}NAME)[({0:k}NAME,{0:j}NAME):{0:if}NAME(({0:m}NAME)[({0:j}NAME)ò0,-((({0:sigma}NAME)[({0:k}NAME))/(\(2)))*{0:ln}NAME({0:mp}NAME-({0:m}NAME)[({0:j}NAME)),(({0:sigma}NAME)[({0:k}NAME))/(\(2))*{0:ln}NAME({0:mp}NAME+({0:m}NAME)[({0:j}NAME)))
.EQN 5 0 8 0 0
{0:n}NAME:8
.TXT 0 8 9 0 0
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{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard n is the number of bits per sample}
.EQN 4 -8 10 0 0
{0:L}NAME:(2)^({0:n}NAME)
.TXT 0 8 11 0 0
Cg a65.000000,65.000000,25
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard L is the number of levels}
.EQN 4 -8 12 0 0
{0:S}NAME:2*({0:mp}NAME)/({0:L}NAME)
.TXT 0 10 13 0 0
Cg a63.000000,63.000000,18
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard S is the step size}
.EQN 4 -10 63 0 0
({0:lap}NAME)[({0:k}NAME,{0:j}NAME):{0:if}NAME(({0:lap}NAME)[({0:k}NAME,{0:j}NAME)>{0:mp}NAME,{0:mp}NAME,({0:lap}NAME)[({0:k}NAME,{0:j}NAME))
.EQN 0 26 64 0 0
({0:lap}NAME)[({0:k}NAME,{0:j}NAME):{0:if}NAME(({0:lap}NAME)[({0:k}NAME,{0:j}NAME)<-{0:mp}NAME,-{0:mp}NAME,({0:lap}NAME)[({0:k}NAME,{0:j}NAME))
.EQN 7 -26 14 0 0
({0:e}NAME)[({0:k}NAME,{0:j}NAME):{0:mod}NAME(({0:lap}NAME)[({0:k}NAME,{0:j}NAME)+{0:mp}NAME,{0:S}NAME)
.TXT 0 19 15 0 0
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{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard  }
.EQN 5 -19 16 0 0
({0:e}NAME)[({0:k}NAME,{0:j}NAME):{0:if}NAME(({0:lap}NAME)[({0:k}NAME,{0:j}NAME)>({0:S}NAME)/(2),({0:e}NAME)[({0:k}NAME,{0:j}NAME)-{0:S}NAME,({0:e}NAME)[({0:k}NAME,{0:j}NAME))
.TXT 1 23 17 0 0
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{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard ej are samples of quantization error}
.EQN 5 -23 18 0 0
({0:sqe}NAME)[({0:k}NAME,{0:j}NAME):({0:e}NAME)[({0:k}NAME,{0:j}NAME)*({0:e}NAME)[({0:k}NAME,{0:j}NAME)
.EQN 5 0 19 0 0
({0:mse}NAME)[({0:k}NAME):((1)/({0:norun}NAME))*{0:j}NAME$({0:sqe}NAME)[({0:k}NAME,{0:j}NAME)
.TXT 0 22 20 0 0
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{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard mse is the mean square 
quantization error}
.EQN 7 -22 21 0 0
({0:mss}NAME)[({0:k}NAME):((1)/({0:norun}NAME))*{0:j}NAME$({0:lap}NAME)[({0:k}NAME,{0:j}NAME)*({0:lap}NAME)[({0:k}NAME,{0:j}NAME)
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{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard mss is the mean square value of 
the signal}
.EQN 7 -23 23 0 0
({0:SNRo}NAME)[({0:k}NAME):(({0:mss}NAME)[({0:k}NAME))/(({0:mse}NAME)[({0:k}NAME))
.TXT 0 17 24 0 0
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{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard SNRo is the signal to quantization 
noise ratio without compandor}
.EQN 7 -17 25 0 0
({0:dB}NAME)[({0:k}NAME):10*{0:log}NAME(({0:SNRo}NAME)[({0:k}NAME))
.TXT 0 17 26 0 0
Cg a56.000000,56.000000,55
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard dB is the signal to quantization 
noise ratio in decibel}
.EQN 4 -17 125 0 0
&&(_n_u_l_l_&_n_u_l_l_)&({0:lap}NAME)[(0,{0:j}NAME)@&&(_n_u_l_l_&_n_u_l_l_)&{0:j}NAME
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0 0 1 1 1 0 0 1 1 
0 1 0 0 1 1 NO-TRACE-STRING
0 2 1 0 1 1 NO-TRACE-STRING
0 3 2 0 1 1 NO-TRACE-STRING
0 4 3 0 1 1 NO-TRACE-STRING
0 1 4 0 1 1 NO-TRACE-STRING
0 2 5 0 1 1 NO-TRACE-STRING
0 3 6 0 1 1 NO-TRACE-STRING
0 4 0 0 1 1 NO-TRACE-STRING
0 1 1 0 1 1 NO-TRACE-STRING
0 2 2 0 1 1 NO-TRACE-STRING
0 3 3 0 1 1 NO-TRACE-STRING
0 4 4 0 1 1 NO-TRACE-STRING
0 1 5 0 1 1 NO-TRACE-STRING
0 2 6 0 1 1 NO-TRACE-STRING
0 3 0 0 1 1 NO-TRACE-STRING
0 4 1 0 1 1 NO-TRACE-STRING
0 1 1 55 19 10 0 3 
.EQN 40 2 127 0 0
{0:WRITE}NAME({0:output1}NAME):({0:lap}NAME)[(0,{0:j}NAME)
.EQN 11 -2 30 0 0
&&(_n_u_l_l_&_n_u_l_l_)&({0:e}NAME)[(0,{0:j}NAME)@&&(_n_u_l_l_&_n_u_l_l_)&{0:j}NAME
0 0 1 1 1 0 0 1 1 
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0 2 1 0 1 1 NO-TRACE-STRING
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0 1 1 0 1 1 NO-TRACE-STRING
0 2 2 0 1 1 NO-TRACE-STRING
0 3 3 0 1 1 NO-TRACE-STRING
0 4 4 0 1 1 NO-TRACE-STRING
0 1 5 0 1 1 NO-TRACE-STRING
0 2 6 0 1 1 NO-TRACE-STRING
0 3 0 0 1 1 NO-TRACE-STRING
0 4 1 0 1 1 NO-TRACE-STRING
0 1 1 54 15 10 0 3 
.EQN 23 1 31 0 0
{0:mu}NAME:255
.TXT 0 10 32 0 0
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{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard mu is the parameter in the mu-law 
compandor}
.EQN 9 -11 33 0 0
({0:lapc}NAME)[({0:k}NAME,{0:j}NAME):{0:if}NAME(({0:lap}NAME)[({0:k}NAME,{0:j}NAME)>0,({0:ln}NAME(1+{0:mu}NAME*(({0:lap}NAME)[({0:k}NAME,{0:j}NAME))/({0:mp}NAME)))/({0:ln}NAME(1+{0:mu}NAME)),-((({0:ln}NAME(1-{0:mu}NAME*(({0:lap}NAME)[({0:k}NAME,{0:j}NAME)
)/({0:mp}NAME)))/({0:ln}NAME(1+{0:mu}NAME)))))
.EQN 5 0 34 0 0
&&(_n_u_l_l_&_n_u_l_l_)&({0:lapc}NAME)[(0,{0:j}NAME)@&&(_n_u_l_l_&_n_u_l_l_)&{0:j}NAME
0 0 1 1 1 0 0 1 1 
0 0 1 1 1 0 0 1 1 
0 1 0 0 1 1 NO-TRACE-STRING
0 2 1 0 1 1 NO-TRACE-STRING
0 3 2 0 1 1 NO-TRACE-STRING
0 4 3 0 1 1 NO-TRACE-STRING
0 1 4 0 1 1 NO-TRACE-STRING
0 2 5 0 1 1 NO-TRACE-STRING
0 3 6 0 1 1 NO-TRACE-STRING
0 4 0 0 1 1 NO-TRACE-STRING
0 1 1 0 1 1 NO-TRACE-STRING
0 2 2 0 1 1 NO-TRACE-STRING
0 3 3 0 1 1 NO-TRACE-STRING
0 4 4 0 1 1 NO-TRACE-STRING
0 1 5 0 1 1 NO-TRACE-STRING
0 2 6 0 1 1 NO-TRACE-STRING
0 3 0 0 1 1 NO-TRACE-STRING
0 4 1 0 1 1 NO-TRACE-STRING
0 1 1 51 15 10 0 3 
.EQN 24 1 35 0 0
{0:SA}NAME:(2)/((2)^({0:n}NAME))
.EQN 0 10 36 0 0
({0:f}NAME)[({0:k}NAME,{0:j}NAME):{0:mod}NAME(({0:lapc}NAME)[({0:k}NAME,{0:j}NAME),{0:SA}NAME)
.EQN 0 16 37 0 0
({0:qlevel}NAME)[({0:k}NAME,{0:j}NAME):({0:lapc}NAME)[({0:k}NAME,{0:j}NAME)-({0:f}NAME)[({0:k}NAME,{0:j}NAME)
.EQN 5 -25 38 0 0
({0:qlevel}NAME)[({0:k}NAME,{0:j}NAME):{0:if}NAME(({0:f}NAME)[({0:k}NAME,{0:j}NAME)ò({0:SA}NAME)/(2),({0:qlevel}NAME)[({0:k}NAME,{0:j}NAME)+{0:SA}NAME,({0:qlevel}NAME)[({0:k}NAME,{0:j}NAME))
.EQN 7 0 39 0 0
({0:qlevel}NAME)[({0:k}NAME,{0:j}NAME):{0:if}NAME(({0:f}NAME)[({0:k}NAME,{0:j}NAME)ó-(({0:SA}NAME)/(2)),({0:qlevel}NAME)[({0:k}NAME,{0:j}NAME)-{0:SA}NAME,({0:qlevel}NAME)[({0:k}NAME,{0:j}NAME))
.EQN 7 0 40 0 0
({0:qn}NAME)[({0:k}NAME,{0:j}NAME):(({0:qlevel}NAME)[({0:k}NAME,{0:j}NAME))/({0:SA}NAME)
.EQN 6 0 41 0 0
({0:qn}NAME)[({0:k}NAME,{0:j}NAME):{0:if}NAME(({0:qn}NAME)[({0:k}NAME,{0:j}NAME)>((2)^({0:n}NAME-1)-1),(2)^({0:n}NAME-1)-1,({0:qn}NAME)[({0:k}NAME,{0:j}NAME))
.EQN 5 -1 42 0 0
({0:qlevel}NAME)[({0:k}NAME,{0:j}NAME):{0:SA}NAME*({0:qn}NAME)[({0:k}NAME,{0:j}NAME)
.EQN 5 0 43 0 0
({0:qx}NAME)[({0:k}NAME,{0:j}NAME):{0:if}NAME(({0:lap}NAME)[({0:k}NAME,{0:j}NAME)ò0,({0:mp}NAME)/({0:mu}NAME)*({0:exp}NAME(({0:qlevel}NAME)[({0:k}NAME,{0:j}NAME)*{0:ln}NAME(1+{0:mu}NAME))-1),-(({0:mp}NAME)/({0:mu}NAME))*({0:exp}NAME(-({0:qlevel}NAME)[(
{0:k}NAME,{0:j}NAME)*{0:ln}NAME(1+{0:mu}NAME))-1))
.EQN 6 0 44 0 0
({0:qn}NAME)[({0:k}NAME,{0:j}NAME):{0:if}NAME(({0:qn}NAME)[({0:k}NAME,{0:j}NAME)<(-(2)^({0:n}NAME-1)+1),-(2)^({0:n}NAME-1)+1,({0:qn}NAME)[({0:k}NAME,{0:j}NAME))
.EQN 27 0 45 0 0
({0:ec}NAME)[({0:k}NAME,{0:j}NAME):({0:lap}NAME)[({0:k}NAME,{0:j}NAME)-({0:qx}NAME)[({0:k}NAME,{0:j}NAME)
.EQN 2 -1 46 0 0
&&(_n_u_l_l_&_n_u_l_l_)&({0:ec}NAME)[(0,{0:j}NAME)@&&(_n_u_l_l_&_n_u_l_l_)&{0:j}NAME
0 0 1 1 1 0 0 1 1 
0 0 1 1 1 0 0 1 1 
0 1 0 0 1 1 NO-TRACE-STRING
0 2 1 0 1 1 NO-TRACE-STRING
0 3 2 0 1 1 NO-TRACE-STRING
0 4 3 0 1 1 NO-TRACE-STRING
0 1 4 0 1 1 NO-TRACE-STRING
0 2 5 0 1 1 NO-TRACE-STRING
0 3 6 0 1 1 NO-TRACE-STRING
0 4 0 0 1 1 NO-TRACE-STRING
0 1 1 0 1 1 NO-TRACE-STRING
0 2 2 0 1 1 NO-TRACE-STRING
0 3 3 0 1 1 NO-TRACE-STRING
0 4 4 0 1 1 NO-TRACE-STRING
0 1 5 0 1 1 NO-TRACE-STRING
0 2 6 0 1 1 NO-TRACE-STRING
0 3 0 0 1 1 NO-TRACE-STRING
0 4 1 0 1 1 NO-TRACE-STRING
0 1 1 56 15 10 0 3 
.EQN 24 1 47 0 0
({0:sqec}NAME)[({0:k}NAME,{0:j}NAME):({0:ec}NAME)[({0:k}NAME,{0:j}NAME)*({0:ec}NAME)[({0:k}NAME,{0:j}NAME)
.EQN 7 0 48 0 0
({0:msec}NAME)[({0:k}NAME):((1)/({0:norun}NAME))*{0:j}NAME$({0:sqec}NAME)[({0:k}NAME,{0:j}NAME)
.EQN 7 0 49 0 0
({0:mssc}NAME)[({0:k}NAME):((1)/({0:norun}NAME))*{0:j}NAME$({0:lapc}NAME)[({0:k}NAME,{0:j}NAME)*({0:lapc}NAME)[({0:k}NAME,{0:j}NAME)
.EQN 6 1 51 0 0
({0:SNRoc}NAME)[({0:k}NAME):(({0:mss}NAME)[({0:k}NAME))/(({0:msec}NAME)[({0:k}NAME))
.TXT 1 16 52 0 0
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{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard SNRoc is the signal to 
quantization noise ratio with compandor}
.EQN 6 -16 53 0 0
({0:dBc}NAME)[({0:k}NAME):10*{0:log}NAME(({0:SNRoc}NAME)[({0:k}NAME))
.TXT 0 18 54 0 0
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{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard dBc is the signal to quantization 
noise ratio with compandor in dB}
.EQN 18 -17 56 0 0
{0:dBc}NAME={0}?_n_u_l_l_
.EQN 49 2 67 0 0
&&(_n_u_l_l_&_n_u_l_l_)&({0:dBc}NAME)[({0:k}NAME),({0:dB}NAME)[({0:k}NAME)@&&(_n_u_l_l_&_n_u_l_l_)&-10*{0:k}NAME
0 0 1 1 1 0 0 1 1 
0 0 1 1 1 0 0 1 1 
0 1 0 0 1 1 NO-TRACE-STRING
0 2 1 0 1 1 NO-TRACE-STRING
0 3 2 0 1 1 NO-TRACE-STRING
0 4 3 0 1 1 NO-TRACE-STRING
0 1 4 0 1 1 NO-TRACE-STRING
0 2 5 0 1 1 NO-TRACE-STRING
0 3 6 0 1 1 NO-TRACE-STRING
0 4 0 0 1 1 NO-TRACE-STRING
0 1 1 0 1 1 NO-TRACE-STRING
0 2 2 0 1 1 NO-TRACE-STRING
0 3 3 0 1 1 NO-TRACE-STRING
0 4 4 0 1 1 NO-TRACE-STRING
0 1 5 0 1 1 NO-TRACE-STRING
0 2 6 0 1 1 NO-TRACE-STRING
0 3 0 0 1 1 NO-TRACE-STRING
0 4 1 0 1 1 NO-TRACE-STRING
0 1 1 42 30 10 0 3 
.TXT 41 -4 80 0 0
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{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard Output signal-to-quantization 
noise ratio when optimum compandor is used instead of mu-law\par 
compandor.  The optimum compandor expression is obtained by y = mp 
integral 2f(m) dm,\par which is given by y = mp (1-exp(-(sqrt(2)/sigma 
m)m)).  After the compandor, the pdf of the\par signal becomes 
uniform, the very same signal we started.  The signal to quantization 
noise\par ratio now is independent of the variance of the input 
signal.  }
.EQN 14 0 106 0 0
({0:m}NAME)[({0:j}NAME):2*({0:m}NAME)[({0:j}NAME)
.EQN 5 0 107 0 0
({0:eoc}NAME)[({0:j}NAME):{0:mod}NAME(({0:m}NAME)[({0:j}NAME)+{0:mp}NAME,{0:S}NAME)
.TXT 0 22 117 0 0
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{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard eoc is the quantization error for 
optimum compandor.}
.EQN 5 -22 108 0 0
({0:eoc}NAME)[({0:j}NAME):{0:if}NAME(({0:eoc}NAME)[({0:j}NAME)>({0:S}NAME)/(2),({0:eoc}NAME)[({0:j}NAME)-{0:S}NAME,({0:eoc}NAME)[({0:j}NAME))
.EQN 6 0 109 0 0
({0:sqeoc}NAME)[({0:j}NAME):({0:eoc}NAME)[({0:j}NAME)*({0:eoc}NAME)[({0:j}NAME)
.TXT 0 19 119 0 0
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{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard sqeoc is the square of the 
quantization error for optimum compandor.}
.EQN 7 -20 110 0 0
{0:mseoc}NAME:(1)/({0:norun}NAME)*((1,{0:norun}NAME,{0:j}NAME,({0:sqeoc}NAME)[({0:j}NAME)){64})
.TXT 0 27 120 0 0
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{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard mseoc is the mean square error for 
optimum compandor.}
.EQN 9 -27 111 0 0
{0:mssoc}NAME:(1)/({0:norun}NAME)*((1,{0:norun}NAME,{0:j}NAME,({0:m}NAME)[({0:j}NAME)*({0:m}NAME)[({0:j}NAME)){64})
.TXT 0 26 121 0 0
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{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard mssoc is the average power of the message.
}
.EQN 7 -26 112 0 0
{0:SNRooc}NAME:({0:mssoc}NAME)/({0:mseoc}NAME)
.EQN 0 18 113 0 0
{0:SNRooc}NAME={0}?_n_u_l_l_
.TXT 0 22 122 0 0
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{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard SNRooc is the SNR for optimum compandor.}
.EQN 5 -40 114 0 0
{0:dBooc}NAME:10*{0:log}NAME({0:SNRooc}NAME)
.EQN 0 24 115 0 0
{0:dBooc}NAME={0}?_n_u_l_l_
.TXT 0 18 123 0 0
Cg a43.125000,43.125000,45
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs20 \pard dBooc is the SNR in dB for optimum
\par compandor.}
.EQN 4 -42 116 0 0
({0:dBooc}NAME)[({0:k}NAME):{0:dBooc}NAME
.EQN 25 1 124 0 0
&&(_n_u_l_l_&_n_u_l_l_)&({0:dBc}NAME)[({0:k}NAME),({0:dB}NAME)[({0:k}NAME),({0:dBooc}NAME)[({0:k}NAME)@&&(_n_u_l_l_&_n_u_l_l_)&-10*{0:k}NAME
0 0 1 1 1 0 0 1 1 
0 0 1 1 1 0 0 1 1 
0 1 0 0 1 1 NO-TRACE-STRING
0 2 1 0 1 1 NO-TRACE-STRING
0 3 2 0 1 1 NO-TRACE-STRING
0 4 3 0 1 1 NO-TRACE-STRING
0 1 4 0 1 1 NO-TRACE-STRING
0 2 5 0 1 1 NO-TRACE-STRING
0 3 6 0 1 1 NO-TRACE-STRING
0 4 0 0 1 1 NO-TRACE-STRING
0 1 1 0 1 1 NO-TRACE-STRING
0 2 2 0 1 1 NO-TRACE-STRING
0 3 3 0 1 1 NO-TRACE-STRING
0 4 4 0 1 1 NO-TRACE-STRING
0 1 5 0 1 1 NO-TRACE-STRING
0 2 6 0 1 1 NO-TRACE-STRING
0 3 0 0 1 1 NO-TRACE-STRING
0 4 1 0 1 1 NO-TRACE-STRING
0 1 1 42 30 10 0 3