[FPGA tutorial case 10] design and implementation of complex multiplier based on Verilog

FPGA Tutorial directory

MATLAB Tutorial directory

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1. Software version

vivado2019.2

2. This algorithm has theoretical knowledge and Verilog Program

        In digital signal processing , Complex multiplication has many applications , Including signal mixing ,FFT,IFFT. The calculation formula of complex multiplier is as follows ：

Set the plural number

        x = a + b i,

        y = c + d i,

Then the result of multiplication of complex numbers is ：

x * y = (a + b i)*(c + d i) = (ac - bd) + i (ad + bc) .

From this we can see that , A complex multiplier , Including four multipliers ( complete a*c,b*d,a*d as well as b*c), Three adders .

The implementation of multiplier , Refer to the previous course ：