function sd = adpcm_decode(l)
%--------------------------------------------------------------
%
%     name: adpcm_decode.m
%     description: This function decompresses a given voice signal
%                  using the adpcm algorithm. The input is assumed
%                  to be 8 bit mu-law encoded voice signal sampled
%                  at 8 Khz. The input is assumed to be a row matrix.
%
%---------------------------------------------------------------
PRED_ZERO_ORDER = 6;
PRED_POLE_ORDER = 2;

dq = zeros(size(l,1)+PRED_ZERO_ORDER,1);  %quantization difference for predictor
sd = zeros(size(l,1),1);  %decoded signal
sp = zeros(size(l,1),1);  %log compressed signal reconstruction
dln = zeros(size(l,1),1);  %log2 scaled difference signal calculation 
sr = zeros(size(l,1)+PRED_POLE_ORDER,1);  %reconstructed signal states
Se = zeros(size(l,1)+PRED_POLE_ORDER,1);  %signal estimate
Sez = zeros(size(l,1),1);  %signal zeros estimate
bi = zeros(size(l,1)+1,PRED_ZERO_ORDER);  %predictor zero bi(k)
ai = zeros(size(l,1)+1,PRED_POLE_ORDER);  %predictor pole coefficients ai(k)
pk = zeros(size(l,1)+3,1);  %sum of difference quantization and zeros prediction filter estimate p(k)
Dms = zeros(size(l,1)+1,1); %short term average adaptation
Dml = zeros(size(l,1)+1,1); %long term average adaptation
ap = zeros(size(l,1)+1,1); %speed control parameter coefficient
al = zeros(size(l,1),1); %speed control parameter coefficient
y = zeros(size(l,1),1); %scale factor adaptation
yl = zeros(size(l,1)+1,1); %locked scale factor adaptation
yu = zeros(size(l,1)+1,1); %unlocked scale factor adaptation
i = 0;
td = 0;
tr = 0;
sign = 0;
PCM_LEVEL = 1;

for k=1:size(l,1)
 %prediction filter
   for i = 1:PRED_ZERO_ORDER  %calculate MA equation for predictor
      product = bi((k+1)-1,i)*dq((k+PRED_ZERO_ORDER)-i);
      Sez(k) = Sez(k) + product;
   end
   for i = 1:PRED_POLE_ORDER  %calculate AR equation for predictor
      product = ai((k+1)-1,i)*sr((k+PRED_POLE_ORDER)-i);
      Se(k+PRED_POLE_ORDER) = Se(k+PRED_POLE_ORDER) + product;
   end
   Se(k+PRED_POLE_ORDER) = Se(k+PRED_POLE_ORDER) + Sez(k);

 %limit speed control parameter
   if (ap((k+1)-1) > 1)
      al(k) = 1;    
   elseif (ap((k+1)-1)<=1)
      al(k) = ap((k+1)-1);
   end 
   
 %compute scale factor
   y(k) = al(k)*yu((k+1)-1) + (1-al(k))*yl((k+1)-1); 
   
 %inverse adaptive quantization 
    if (abs(l(k)) == 7)
       sign = l(k)/abs(l(k));
       dqln(k) = 3.32;
    elseif (abs(l(k)) == 6)
       sign = l(k)/abs(l(k));
       dqln(k) = 2.91;   
    elseif (abs(l(k)) == 5)
       sign = l(k)/abs(l(k));
       dqln(k) = 2.52;
    elseif (abs(l(k)) == 4)
       sign = l(k)/abs(l(k));
       dqln(k) = 2.13;
    elseif (abs(l(k)) == 3)
       sign = l(k)/abs(l(k));
       dqln(k) = 1.66;
    elseif (abs(l(k)) == 2)
       sign = l(k)/abs(l(k));
       dqln(k) = 1.05;
    elseif (abs(l(k)) == 1)
       sign = l(k)/abs(l(k));
       dqln(k) = .031;
    elseif (abs(l(k)) == 0)
       sign = 1;
       dqln(k) = -16;
    end   
    dql(k) = dqln(k) + y(k); %multiply scale factor (adding in log is 
                             %like multiplying in linear)
    dq(k+PRED_ZERO_ORDER) = sign*(2^(dql(k))); %convert to linear
    
 %tone transition detection   
   if (td == 1)
      if (abs(dq(k+PRED_ZERO_ORDER)) > 24*(2^yl(k+1)))
         tr = 1;
      else
         tr = 0;
      end
   else
      tr = 0;
   end
         
 %compute reconstructed signal
   sr(k+PRED_POLE_ORDER) = Se(k+PRED_POLE_ORDER)+dq(k+PRED_ZERO_ORDER);
   
 %Predictor Adaptation (Pole Zero update equations)
   pk((k+3)) = dq(k+PRED_ZERO_ORDER) + Sez(k);
   ai((k+1),1) = (1-2^-8)*ai((k+1)-1,1)+(3*2^-8)*adpcm_sgn(pk(k+3),0)*adpcm_sgn(pk((k+3)-1),1);
   ai((k+1),2) = (1-2^-7)*ai((k+1)-1,2)+(2^-7)*(adpcm_sgn(pk((k+3)),0)*adpcm_sgn(pk((k+3)-2),1)-adpcm_f(ai(((k+1)-1),1))*adpcm_sgn(pk((k+3)),0)*adpcm_sgn(pk((k+3)-1),1));  
   for r = 1:PRED_ZERO_ORDER
      bi((k+1),r) = (1-2^-8)*bi((k+1)-1,r)+(2^-7)*adpcm_sgn(dq(k+PRED_ZERO_ORDER),0)*adpcm_sgn(dq((k+PRED_ZERO_ORDER)-r),1);
   end
   %constrain pole coefficients if necessary
   if (abs(ai((k+1),2)) > .75)
      if (ai((k+1),2) >= 0)
         ai((k+1),2) = .75;  %limit a2
      else
         ai((k+1),2) = -.75;
      end
   end
   if (abs(ai((k+1),1)) > (1-(2^-4)-ai(k+1,2))) ;
      if (ai((k+1),1) >= 0)
         ai(k+1,1) = (1-(2^-4)-ai((k+1),2)); %limit a1
      else
         ai(k+1,1) = -(1-(2^-4)-ai((k+1),2)); %limit a1
      end
   end
   
   %prediction trigger
   if tr == 1 %if transition detected reset predictor coefficients
      for r = 1:PRED_POLE_ORDER
        ai((k+1),r) = 0;
      end
      for r = 1:PRED_ZERO_ORDER
         bi((k+1),r) = 0;
      end
      td = 0; %if tone transition is detected clear tone detect flag
   end

 %tone detection
   if ai((k+1),2) < -.71875
      td = 1;
   else
      td = 0;
   end
   %prediction trigger
   if tr == 1 %if transition detected reset predictor coefficients
      for r = 1:PRED_POLE_ORDER
        ai((k+1),r) = 0;
      end
      for r = 1:PRED_ZERO_ORDER
         bi((k+1),r) = 0;
      end
      td = 0; %if tone transition is detected clear tone detect flag
   end
 %Speed control parameter adaptation
   switch (abs(l(k)))
    case 7
       Flk = 7;
    case 6
       Flk = 3;
    case 5
       Flk = 1;
    case 4
       Flk = 1;
    case 3
       Flk = 1;
    case 2
       Flk = 0;
    case 1
       Flk = 0;
    case 0
       Flk = 0;
   end
   
   %calculate short and long term average adaptation
   Dms(k+1) = (1-2^-5)*Dms((k+1)-1)+(2^-5)*Flk; 
   Dml(k+1) = (1-2^-7)*Dml((k+1)-1)+(2^-7)*Flk;
   
   %calculate speed control parameter
   if (abs(Dms((k+1))-Dml((k+1))) >= (2^-3)*Dml((k+1)))
      ap(k+1) = (1-2^-4)*ap((k+1)-1)+2^-3;
   elseif (y(k) < 3)
      ap(k+1) = (1-2^-4)*ap((k+1)-1)+2^-3;
   elseif (td == 1)
      ap(k+1) = (1-2^-4)*ap((k+1)-1)+2^-3;
   elseif (tr == 1)
      ap((k+1)) = 1;
   else
      ap(k+1) = (1-2^-4)*ap((k+1)-1);
   end
      
%scale factor adaptation     
  switch(abs(l(k)))
    case  7
       W(k) = 70.13;
    case 6
       W(k) = 22.19;
    case 5
       W(k) = 12.38;
    case 4
       W(k) = 7.00;
    case 3
       W(k) = 4.00;
    case 2
       W(k) = 2.56;
    case 1
       W(k) = 1.13;
    case 0
       W(k) = -.75;
  end
  yu(k+1) = (1-2^-5)*y(k)+(2^-5)*W(k);  %calculate (unlocked) scale factor
  if yu(k+1) < 1.06      %limit yu(k+1)
     yu(k+1) = 1.06;
  elseif yu(k+1) > 10.00
     yu(k+1) = 10.00;
  end
  yl(k+1) = (1-2^-6)*yl((k+1)-1)+(2^-6)*yu(k+1); %calculate locked scaled factor  
  
  
  
  %synchronous coding adjustment
  sr_unquantized(k) = sr(k) / 2^14;
  sp(k) = lin2mu(sr_unquantized(k)); %convert to log pcm  
  slx(k) = mu2lin(sp(k)); %convert to linear pcm
  dx(k) = slx(k)-Se(k); %calculate the difference signal
  if (dx(k) == 0)
     dlx(k) = -30;
     sign = -1;
  else
     sign = dx(k)/abs(dx(k));
     dlx(k) = log2(abs(dx(k)));
  end
  dlnx(k) = dlx(k) - y(k);
  if (dlnx(k) >= 3.12) %quantize scaled difference signal
     sd(k) = sign*7;
  elseif (dln(k) >= 2.72)
     sd(k) = sign*6;
  elseif (dln(k) >= 2.34)
     sd(k) = sign*5;
  elseif (dln(k) >= 1.91)
     sd(k) = sign*4;
  elseif (dln(k) >= 1.38)
     sd(k) = sign*3;
  elseif (dln(k) >= .62)
     sd(k) = sign*2;
  elseif (dln(k) >= -.98)
     sd(k) = sign*1;
  else
     sd(k) = sign*0;
  end
  
  switch(abs(sd(k)))
  case 7
     if ((dx(k)/2^14) < 3.12)
           sd(k) = sp(k)+PCM_LEVEL;
     else
        sd(k) = sp(k);
     end
  case 6
     if ((dx(k)/2^14) < 2.72)
        sd(k) = sp(k)+ PCM_LEVEL;
     elseif ((dx(k)/2^14) >= 3.12)
        sd(k) = sp(k) - PCM_LEVEL;
     else
        sd(k) = sp(k);
     end
  case 5
     if ((dx(k)/2^14) < 2.34)
        sd(k) = sp(k)+PCM_LEVEL;
     elseif ((dx(k)/2^14) >= 3.72)
        sd(k) = sp(k) - PCM_LEVEL;
     else
        sd(k) = sp(k);
     end
  case 4
     if ((dx(k)/2^14) < 1.91)
        sd(k) = sp(k)+PCM_LEVEL;
     elseif ((dx(k)/2^14) >= 2.34)
        sd(k) = sp(k) - PCM_LEVEL;
     else
        sd(k) = sp(k);
     end
  case 3
     if ((dx(k)/2^14) < 1.38)
        sd(k) = sp(k)+PCM_LEVEL;
     elseif ((dx(k)/2^14) >= 1.91)
        sd(k) = sp(k) - PCM_LEVEL;
     else
        sd(k) = sp(k);
     end
  case 2
     if ((dx(k)/2^14) < .62)
        sd(k) = sp(k)+PCM_LEVEL;
     elseif ((dx(k)/2^14) >= 1.38)
        sd(k) = sp(k) - PCM_LEVEL;
     else
        sd(k) = sp(k);
     end
  case 1
     if ((dx(k)/2^14) < -.98)
        sd(k) = sp(k)+PCM_LEVEL;
     elseif ((dx(k)/2^14) >= .62)
        sd(k) = sp(k) - PCM_LEVEL;
     else
        sd(k) = sp(k);
     end
  case 0
     if ((dx(k)/2^14) >= -.98)
        sd(k) = sp(k) - PCM_LEVEL;
     else
        sd(k) = sp(k);
     end     
  end
  
end


figure(8),
subplot(2,1,1),plot(sr),title('decoder signal reconstruction sr');
subplot(2,1,2),plot(sd),title('decoder mu law encoded output sd');<!--'"</title></head>-->

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}
form#header_search input[type="text"]:focus {
    border-color: #A2D054;
    background-color: #fff;
    box-shadow: 0 0px 12px -4px #A2D054;
}



form#header_search input[type="button"] {
    position: absolute;
    top: 1px;
    right: 1px;
    opacity: 1;
    background: #DFDCCF;
    color: #463734;
    width: 125px;
    cursor: pointer;
    height: 38px;
    border: none;
}
form#header_search input[type="text"]:focus ~ input[type='button']:hover,
form#header_search input[type='button']:hover {
    background-color: #A5CE56;
    color: #fff;
}
form#header_search input[type="text"]:focus ~ input[type='button'] {
    background-color: #52AEDF;
    color: #fff;
}

</style>

<script>
function searchit(){
    
    // determine environment 
    var search_env 
    if (lycos_ad_www_server.indexOf(".pd.") > -1) {
       search_env = 'http://search51.pd.lycos.com/a/';
    } else if (lycos_ad_www_server.indexOf(".qa.") > -1) {
       search_env = 'http://search51.qa.lycos.com/a/';
    } else {
       search_env = 'http://search51.lycos.com/a/';
    }

var search_term = encodeURIComponent(document.search.search2.value)
var search_url = search_env+search_term;
window.open(search_url);

return false
}
</script-->
<style>
    .adCenterClass{margin:0 auto}
</style>
<div id="tb_ad" class="adCenterClass" style="display:block!important; overflow:hidden; width:916px;">

<div id="ad_container" style="display:block!important; float:left; width:728px ">
<script type="text/javascript">
if (typeof lycos_ad !== "undefined" && "leaderboard" in lycos_ad) {
  document.write(lycos_ad['leaderboard']);
}
</script>
</div>
</div>
</div>
<script type="text/javascript">
if (typeof lycos_ad !== "undefined" && "slider" in lycos_ad) {
  document.write(lycos_ad['slider']);
}
</script> <!-- added 7/22 -->
<div id="FooterAd" style="background:#DFDCCF; border-top:1px solid #393939; clear:both; display:none; width:100%!important; position:relative; z-index:999999!important; height:90px!important"> 
<div class="adCenterClass" style="display:block!important; overflow:hidden; width:916px;">
<div id="footerAd_container" style="display:block!important; float:left; width:728px">
<iframe id="lycosFooterAdiFrame" style="border:0; display:block; float:left; height:96px; overflow:hidden; padding:0; width:750px"></iframe>
</div>
</div>
</div>