簡化版的復數相關運算---Verilog

簡化版的復數相關運算---Verilog

//**************************************************************************************************************
//Function description: Simplify the complex multiplication operation to the addition operation

//Input: clock,reset,counter,multiplier_Real,multiplier_Imag,known_Real,known_Imag
//Output: output_Real,output_Imag

/*參考《中山大學論文》，得將已知STS取共軛之后再與量化結果相乘*****//////
//Example：conjugate{(a + i*b)}= (a - i*b)
//       conj{(a+i*b)}*(1+i) = (a+b)+i*(a-b)
//       conj{(a+i*b)}*(1-i) = (a-b)+i*(-a-b) 
//       conj{(a+i*b)}*(-1+i)= (-a+b)+i*(a+b)
//       conj{(a+i*b)}*(-1-i)= (-a-b)+i*(-a+b)
//**************************************************************************************************************
`timescale 1ns/10ps

module Simple_Correlation(

    input            wire                  Clk,                            /*系統時鍾*****//////
    input            wire                  Rst_n,                        /*系統復位信號******//////
    input            wire                  inEn,
    input            wire                  multiplier_Real,             /*移位寄存器實部******//////
    input            wire                  multiplier_Imag,             /*移位寄存器虛部******//////
    input            wire     [15:0]       known_Real,                 /*本地已知短訓練序列實部，二進制補碼表示*******///////
    input            wire     [15:0]       known_Imag,                 /*短訓練序列虛部*******///////

    output           reg      [16:0]       output_Real,         /*輸出實部，擴展為17位輸出，輸出為二進制補碼表示*******///////
    output           reg      [16:0]       output_Imag,         /*輸出虛部*******///////
    output           reg                   OutputEnable);

//-----------------------------------------------------------------------------------

/*輸入的multiplier等於0表示正數，等於1表示負數*****//////

always @ (posedge Clk or negedge Rst_n)    
begin
    if (!Rst_n)
    begin
        output_Real <= 0;
        output_Imag <= 0;
        OutputEnable <= 0;
    end
    else if (inEn)
    begin
        OutputEnable <= 1;                                                        
        if (multiplier_Real == 0 && multiplier_Imag == 0)             
        begin
            output_Real <= {{1{known_Real[15]}},known_Real} + {{1{known_Imag[15]}},known_Imag};
            output_Imag <= {{1{known_Real[15]}},known_Real} - {{1{known_Imag[15]}},known_Imag};
        end
        else if (multiplier_Real == 0 && multiplier_Imag == 1)
        begin
            output_Real <= {{1{known_Real[15]}},known_Real} - {{1{known_Imag[15]}},known_Imag};
            output_Imag <= - {{1{known_Real[15]}},known_Real} - {{1{known_Imag[15]}},known_Imag};
        end
        else if (multiplier_Real == 1 && multiplier_Imag == 0)
        begin
            output_Real <= - {{1{known_Real[15]}},known_Real} + {{1{known_Imag[15]}},known_Imag};
            output_Imag <= {{1{known_Real[15]}},known_Real} + {{1{known_Imag[15]}},known_Imag};
        end
        else  //(buffer_multiplier_Real==1 && buffer_multiplier_Imag==1)
        begin
            output_Real <= - {{1{known_Real[15]}},known_Real} - {{1{known_Imag[15]}},known_Imag};
            output_Imag <= - {{1{known_Real[15]}},known_Real} + {{1{known_Imag[15]}},known_Imag};
        end
    end
    else         
    begin
        output_Real <= 0;
        output_Imag <= 0;
        OutputEnable <= 0;
    end            
end

endmodule