Can someone help me? - Plotting complex number with index

I plotted complex numbers as follows:

and I got some complex numbers, like for example:

result plot:

how do I put the corresponding bit values (1000,1100, ...) according to the example below???

Can someone help me?

Answer 1

[Sulaymon Eshkabilov]

Hi,

Here is the answer to convert imaginary and real numbers from a floating point format into binary:

N = 16;         % Number bits for integer part:      
M = 25;         % Number bits for fraction part:

% Conversion from floating point format into binary number
%% REAL Part:
for ii=1:numel(q_real)
BIN1(ii,:) = fix(rem(q_real(ii)*pow2(-(N-1):M),2)); 
% Test the inverse transformation
DEC1(ii) = BIN1(ii,:)*pow2(n-1:-1:-m).';
end
%% IMAG Part:
for ii=1:numel(q_imag)
BIN2(ii,:) = fix(rem(q_imag(ii)*pow2(-(N-1):M),2)); 
% Test the inverse transformation
DEC2(ii) = BIN2(ii,:)*pow2(n-1:-1:-m).';
end

Good luck.

[adriane duarte]

Thanks!!

[Sulaymon Eshkabilov]

Most Welcome!

Answer 2

[Sulaymon Eshkabilov]

(1) Separate real and imaginary parts using real(), imag()

(2) PLot them: Real vs. Imag

(3) Convert the separated real and imaginary values (floating point numbers) to binary strings using:

http://www.mathworks.com/matlabcentral/answers/25549-convert-floating-point-to-binary

http://matlabgeeks.com/tips-tutorials/conversion-of-floating-point-numbers-in-matlab/

http://matlaboratory.blogspot.hu/2008/12/converting-decimal-to-binary-and-binary.html

http://stackoverflow.com/questions/12748721/converting-a-non-integer-number-to-binary-in-matlab

and so forth.

[adriane duarte]

Thanks for the tip!!!

I will try to reproduce!!

[adriane duarte]

Could you explain the third step better?

[adriane duarte]

       
        L = 1e4; % number of bits
        SNRdB = 0:28;
        max_run = 100;
        alpha = 0.3;

        
        for sk = 1:length(SNRdB)

            for tk = 1:max_run
       

        % 1 ou -1 para sinal em fase (an)
        x_inp_I = sign(rand(1,L)- 0.5);
         
        % 1 ou -1 para sinal de quadratura (bn)
        x_inp_Q = sign(rand(1,L)- 0.5);
        
        % Gera bits de marca d'água aleatórios (dI)
        Bit_wat_I = sign(rand(1,L)- 0.5);
        
        % Gera bits de marca d'água aleatórios (dQ)
        Bit_wat_Q = sign(rand(1,L)- 0.5); 
        
        
            
        for k = 1:L    
            
            if Bit_wat_I(k) == 1  &&  Bit_wat_Q(k) == 1     
        
               Bit_enviado(k) = (x_inp_I(k) .* ((sqrt(1-alpha)) + (sqrt(alpha)))) + (1i .* x_inp_Q(k) * ((sqrt(1-alpha)) + (sqrt(alpha))));                     
            
            end             
             
            
        end
        
            end
        
        end
        
            
            q_real = real(Bit_enviado);
        
            q_imag = imag(Bit_enviado);
            
            

[adriane duarte]

@Sulaymon Eshkabilov