The following is a Verilog procedure for obtaining the angle of a cordic algorithm in the vector mode under a circular system:/*=================================================================== ===========*\
Filename:cordic.v
discription: Coordinate rotation number calculation method. Through this algorithm, the vector coordinates of the input are iterated 9 times
Calculation, the modulus and phase angle of the vector are obtained.
\*==============================================================================*/module CORDIC
(
clk_20m,
_rst,
Cordic_start,
Ug_d,
Ug_q,
Ug
Delta); Input clk_20m,
_rst,
Cordic_start; Cordic Transform Start flag
INPUT[15:0] Ug_d,//d-axis component of output voltage
Ug_q; Q-axis component of the output voltage
OUTPUT[15:0] Ug; Modulo value of the output voltage vector
OUTPUT[13:0] Delta; Phase angle of the output voltage vector
WIRE[31:0] ug_tmp;
Reg[3:0] times; Iteration Count Accumulator
REG[15:0] ug_d_tmp,//output voltage D-Axis component intermediate Iteration results
ug_q_tmp; Intermediate iteration result of the output voltage Q-Axis component
REG[13:0]//delta,
delta_tmp; Phase Angle Rotation Cumulative register
Assign Ug = (ug_d_tmp>>1) + (ug_d_tmp>>3)-(ug_d_tmp>>6)-(ug_d_tmp>>9);
Proportional coefficient adjustment of the voltage modulus to get 32 times times the actual modulus value
Assign ug_tmp[31:0] = ug_d_tmp[15:0] * + ' d48224;//d39797;
Assign ug_tmp[31:0] = ug_d_tmp[15:0] * + ' d45208;
Assign ug[15:0] = ug_tmp[31:16];
The phase angle of the output voltage vector is the rotation angle of the output of the CORDIC algorithm.
Assign Delta = delta_tmp;
/*
Always @ (Posedge clk_20m or Negedge _rst)
Begin
if (!_rst)
Delta <= ' H0;
else if (delta_tmp <= ' h6)
Delta <= delta_tmp;
else if (delta_tmp <= ' h1fff)
Delta <= ' h6;
else if (delta_tmp <= ' H3ffa)
Delta <= ' H3ffa;
Else
Delta <= delta_tmp;
Else
Delta <= ' h6;
end*/
Always @ (Posedge clk_20m or Negedge _rst)
Begin
if (!_rst)
Begin
TIMES[3:0] <= 4 ' HF;
Ug_d_tmp[15:0] <= ' H0;
Ug_q_tmp[15:0] <= ' H0;
Delta_tmp[13:0] <= ' H0;
End
else if (Cordic_start)//Start Cordic transform
Begin
TIMES[3:0] <= 4 ' H0;
Ug_d_tmp <= ug_d;
Ug_q_tmp <= ug_q;
Delta_tmp <= ' H0;
End
else if (Times <= 4 ' D9)//Start Iteration calculation
Begin
TIMES[3:0] <= times[3:0] + 4 ' H1; Iteration Count plus 1
Case (Times)
4 ' h0://ug_q_tmp[15] sign bit
if (ug_q_tmp[15])//The goal of the rotation is to bring the ug_q_tmp closer to 0,
According to the judgment of the ug_q_tmp symbol, decide whether to rotate forward or reverse
Begin
Ug_d_tmp <= ug_d_tmp-ug_q_tmp; Recalculate new D-axis components
Ug_q_tmp <= ug_q_tmp + ug_d_tmp; Recalculate new Q-axis components
Delta_tmp <= delta_tmp-14 ' hB40; To calculate the phase angle cumulatively
End
Else
Begin
Ug_d_tmp <= ug_d_tmp + ug_q_tmp;
Ug_q_tmp <= ug_q_tmp-ug_d_tmp;
Delta_tmp <= delta_tmp + "HB40; (2880/64) =45
End
4 ' H1:
if (ug_q_tmp[15])
Begin
Ug_d_tmp <= ug_d_tmp-{ug_q_tmp[15], ug_q_tmp[15:1]};
Ug_q_tmp <= ug_q_tmp + {ug_d_tmp[15], ug_d_tmp[15:1]};
Delta_tmp <= delta_tmp-14 ' h6a4; (1700/64) =26.5625
End
Else
Begin
Ug_d_tmp <= ug_d_tmp + {ug_q_tmp[15], ug_q_tmp[15:1]};
Ug_q_tmp <= ug_q_tmp-{ug_d_tmp[15], ug_d_tmp[15:1]};
Delta_tmp <= delta_tmp + "H6A4; //
End
4 ' H2:
if (ug_q_tmp[15])
Begin
Ug_d_tmp <= ug_d_tmp-{{2{ug_q_tmp[15]}}, Ug_q_tmp[15:2]};
Ug_q_tmp <= ug_q_tmp + {{2{ug_d_tmp[15]}}, Ug_d_tmp[15:2]};
Delta_tmp <= delta_tmp-14 ' h382; (382/64=14.03125)
End
Else
Begin
Ug_d_tmp <= ug_d_tmp + {{2{ug_q_tmp[15]}}, Ug_q_tmp[15:2]};
Ug_q_tmp <= ug_q_tmp-{{2{ug_d_tmp[15]}}, Ug_d_tmp[15:2]};
Delta_tmp <= delta_tmp + "h382;
End
4 ' H3:
if (ug_q_tmp[15])
Begin
Ug_d_tmp <= ug_d_tmp-{{3{ug_q_tmp[15]}}, Ug_q_tmp[15:3]};
Ug_q_tmp <= ug_q_tmp + {{3{ug_d_tmp[15]}}, Ug_d_tmp[15:3]};
Delta_tmp <= delta_tmp-14 ' H1c8; (382/64=14.03125)
End
Else
Begin
Ug_d_tmp <= ug_d_tmp + {{3{ug_q_tmp[15]}}, Ug_q_tmp[15:3]};
Ug_q_tmp <= ug_q_tmp-{{3{ug_d_tmp[15]}}, Ug_d_tmp[15:3]};
Delta_tmp <= delta_tmp + "H1C8; (456/64=7.125)
End
4 ' H4:
if (ug_q_tmp[15])
Begin
Ug_d_tmp <= ug_d_tmp-{{4{ug_q_tmp[15]}}, Ug_q_tmp[15:4]};
Ug_q_tmp <= ug_q_tmp + {{4{ug_d_tmp[15]}}, Ug_d_tmp[15:4]};
Delta_tmp <= delta_tmp-14 ' hE5; (229/64=3.578125)
End
Else
Begin
Ug_d_tmp <= ug_d_tmp + {{4{ug_q_tmp[15]}}, Ug_q_tmp[15:4]};
Ug_q_tmp <= ug_q_tmp-{{4{ug_d_tmp[15]}}, Ug_d_tmp[15:4]};
Delta_tmp <= delta_tmp + "HE5;
End
4 ' h5:
if (ug_q_tmp[15])
Begin
Ug_d_tmp <= ug_d_tmp-{{5{ug_q_tmp[15]}}, Ug_q_tmp[15:5]};
Ug_q_tmp <= ug_q_tmp + {{5{ug_d_tmp[15]}}, Ug_d_tmp[15:5]};
Delta_tmp <= delta_tmp-14 ' h72; (114/64=1.78125)
End
Else
Begin
Ug_d_tmp <= ug_d_tmp + {{5{ug_q_tmp[15]}}, Ug_q_tmp[15:5]};
Ug_q_tmp <= ug_q_tmp-{{5{ug_d_tmp[15]}}, Ug_d_tmp[15:5]};
Delta_tmp <= delta_tmp + "H72;
End
4 ' h6:
if (ug_q_tmp[15])
Begin
Ug_d_tmp <= ug_d_tmp-{{6{ug_q_tmp[15]}}, Ug_q_tmp[15:6]};
Ug_q_tmp <= ug_q_tmp + {{6{ug_d_tmp[15]}}, Ug_d_tmp[15:6]};
Delta_tmp <= delta_tmp-14 ' h39;//(57/64=0.890625)
End
Else
Begin
Ug_d_tmp <= ug_d_tmp + {{6{ug_q_tmp[15]}}, Ug_q_tmp[15:6]};
Ug_q_tmp <= ug_q_tmp-{{6{ug_d_tmp[15]}}, Ug_d_tmp[15:6]};
Delta_tmp <= delta_tmp + "H39;
End
4 ' H7:
if (ug_q_tmp[15])
Begin
Ug_d_tmp <= ug_d_tmp-{{7{ug_q_tmp[15]}}, Ug_q_tmp[15:7]};
Ug_q_tmp <= ug_q_tmp + {{7{ug_d_tmp[15]}}, Ug_d_tmp[15:7]};
Delta_tmp <= delta_tmp-14 ' h1c;//(28/64=0.4375)
End
Else
Begin
Ug_d_tmp <= ug_d_tmp + {{7{ug_q_tmp[15]}}, Ug_q_tmp[15:7]};
Ug_q_tmp <= ug_q_tmp-{{7{ug_d_tmp[15]}}, Ug_d_tmp[15:7]};
Delta_tmp <= delta_tmp + "H1C;
End
4 ' H8:
if (ug_q_tmp[15])
Begin
Ug_d_tmp <= ug_d_tmp-{{8{ug_q_tmp[15]}}, Ug_q_tmp[15:8]};
Ug_q_tmp <= ug_q_tmp + {{8{ug_d_tmp[15]}}, Ug_d_tmp[15:8]};
Delta_tmp <= delta_tmp-14 ' he;//(14/64=0.21875)
End
Else
Begin
Ug_d_tmp <= ug_d_tmp + {{8{ug_q_tmp[15]}}, Ug_q_tmp[15:8]};
Ug_q_tmp <= ug_q_tmp-{{8{ug_d_tmp[15]}}, Ug_d_tmp[15:8]};
Delta_tmp <= delta_tmp + ' HE;
End
4 ' H9:
if (ug_q_tmp[15])
Begin
Ug_d_tmp <= ug_d_tmp-{{9{ug_q_tmp[15]}}, Ug_q_tmp[15:9]};
Ug_q_tmp <= ug_q_tmp + {{9{ug_d_tmp[15]}}, Ug_d_tmp[15:9]};
Delta_tmp <= delta_tmp-14 ' H7;
End
Else
Begin
Ug_d_tmp <= ug_d_tmp + {{9{ug_q_tmp[15]}}, Ug_q_tmp[15:9]};
Ug_q_tmp <= ug_q_tmp-{{9{ug_d_tmp[15]}}, Ug_d_tmp[15:9]};
Delta_tmp <= delta_tmp + "H7; (7/64=0.109375)
End
Default://All registers are zeroed by default
Begin
Ug_d_tmp <= "H0;
Ug_q_tmp <= "H0;
Delta_tmp <= ' H0;
End
// ;
Endcase
End
Else
TIMES[3:0] <= 4 ' HF; Iterative calculation completed, end cordic algorithm, iteration number reset value
End Endmodule
A cordic algorithm for obtaining the angle of the Verilog program in the vector mode under the circular system
