How can I send complex data using serial communication to an fpga?

I developed a UART system for a Virtex 5 Xilinx FPGA. It work fine but I only sent binary data. In the other hand, my main function gives me a complex data which I want to send using the uart unit.

%main function
function tx = main_fcn(rx)
rx = uart_rx();
%I receive binary data from my uart_rx
rx = [1 0 1 0 1 1 0 0]; %as example
%Then I modulate rx
x = qpsk(rx);
%x = 1 + j; %as example
Xt = ifft(x); %then I calculate de IFFT of x
%I want to send Xt = a + bj to my uart_tx
tx = uart_tx(Xt);

the problem is that I need to send indiviual bits to my uart_tx (8-databits) but I have a complex number.

So my question is how I can covert the Xt complex number into binary data to sent it to the computer using my uart unit.

Answer 1

[Walter Roberson]

Pull apart the number using real() and imag() and send the pieces .

[Pablo Medina]

Thanks for the anwer. But for example I have Xt = 0.2457 + i*2345. And if I get the real and imaginary parts I still need to transmit Xt_real = 0.2457 and Xt_img = 2345 using a uart_tx function which receives single bits.

%uart_tx function
[tx] = uart_tx(din);
%din is a single bit 
%when the transmission is over tx have should sent:
%1start_bit + 8 data_bits + 1stopt_bit

My question is if there is a way to convert this Xt_real and Xt_img into binary strings.

Any hint will be helpful, Thanks.

[Walter Roberson]

There are many ways to convert floating point to binary.

Since you are using FPGA you should be using the fixed point toolbox. The fixed point toolbox offers a method to extract the bit sequence of the representation. Look at the properties and methods of fixed point objects.

[Walter Roberson]

For any given fi, say A, you can

bin(A) - '0'

to get the bit values. If you follow RS232 protocol, you need to transmit the least significant bit first, which would be right to left in the order you get from bin()

The start bits and stop bits are constants, logical 0 (positive voltage) for the start bit, and logical 1 (negative voltage) for the stop bit; https://wcscnet.com/tutorials/introduction-to-rs232-serial-communication/