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Copy pathQuantizer2.m
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87 lines (76 loc) · 3.23 KB
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function [quantizedSignal,MSQE,BitStream] = Quantizer2(y, isMidrise, L, mp)
% this function quantizes discrete signals
% signal = two vector sampled signal (a time vector & an amplitude vector)
% L = the number of levels
% mp = the peak quantization level
% isMidrise = 1 (mid-rise) or 0 (mid-tread)
%% Intializations
v = size(y);
SignalElementsNo = v(1);
step = 2*mp/L;
R = ceil(log2(L));
quantizedSignal(:,1) = y(:,1);
BitStream(:,1) = y(:,1);
%% Quantization
for i = 1:SignalElementsNo
% LevelsNo(i,1) = i; %LevelsNo contains SignalElementsNo corrospening level
if isMidrise == 1 % No zero
if i == 1 % intial value
quantizedSignal(1,2) = 0.5*step; % element voltage
BitStream(1,R+1) = (L/2)+1; % element level no
BitStream(1,R+2) = quantizedSignal(1,2); % element level voltage
elseif quantizedSignal(i-1,2) < y(i,2)
quantizedSignal(i,2) = quantizedSignal(i-1,2) + step;
BitStream(i,R+1) = BitStream(i-1,R+1)+1;
BitStream(i,R+2) = quantizedSignal(i,2);
elseif quantizedSignal(i-1,2) > y(i,2)
quantizedSignal(i,2) = quantizedSignal(i-1,2) - step;
BitStream(i,R+1) = BitStream(i-1,R+1)-1;
BitStream(i,R+2) = quantizedSignal(i,2);
elseif quantizedSignal(i-1,2) == y(i,2)
quantizedSignal(i,2) = quantizedSignal(i-1,2);
BitStream(i,R+1) = BitStream(i-1,R+1);
BitStream(i,R+2) = quantizedSignal(i,2);
end
else % Mid-tread % with Zero
if i == 1 % intial value
quantizedSignal(1,2) = 0; % element voltage
BitStream(1,R+1) = L/2; % element level no
BitStream(1,R+2) = quantizedSignal(1,2); % element level voltage
elseif quantizedSignal(i-1,2) < y(i,2)
quantizedSignal(i,2) = quantizedSignal(i-1,2) + step;
BitStream(i,R+1) = BitStream(i-1,R+1)+1;
BitStream(i,R+2) = quantizedSignal(i,2);
elseif quantizedSignal(i-1,2) > y(i,2)
quantizedSignal(i,2) = quantizedSignal(i-1,2) - step;
BitStream(i,R+1) = BitStream(i-1,R+1)-1;
BitStream(i,R+2) = quantizedSignal(i,2);
elseif quantizedSignal(i-1,2) == y(i,2)
quantizedSignal(i,2) = quantizedSignal(i-1,2);
BitStream(i,R+1) = BitStream(i-1,R+1);
BitStream(i,R+2) = quantizedSignal(i,2);
end
end
end
%% BitStreams
disp(max(BitStream(:,R+1)));
disp(min(BitStream(:,R+1)));
%BitStream(:,R+1) = BitStream(:,R+1) - 1; %making the levels start form zero to save R
disp(max(BitStream(:,R+1)));
disp(min(BitStream(:,R+1)));
de2biInput = BitStream(:,R+1);
BitStream(:,1:R) = de2bi(de2biInput,R,'left-msb'); %Each element bit stream
%% Mean Square Quantization Error
MSQE = (1/SignalElementsNo)*sum((y(:,2)-quantizedSignal(:,2)).^2);
%% ploting
plot(y(:,1),y(:,2),'bo-');
hold on
stairs(quantizedSignal(:,1),quantizedSignal(:,2),'rx-')
xlabel('Time (s)'); ylabel('Voltage (V)');
legend('Signal','QuantizedSignal');
if isMidrise == 0
title('Mid-tread uniform quantizer')
else
title('Mid-rise uniform quantizer')
end
end