手写Verilog FFT
时间: 2023-08-16 15:07:58 浏览: 145
FFT——Verilog
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Sure! Here's an example of a handwritten Verilog code for implementing a Radix-2 Decimation in Time (DIT) Fast Fourier Transform (FFT):
```verilog
module fft (
input wire clk,
input wire reset,
input wire [15:0] x_real,
input wire [15:0] x_imag,
output reg [15:0] X_real,
output reg [15:0] X_imag
);
reg [15:0] twiddle_real[7:0];
reg [15:0] twiddle_imag[7:0];
reg [15:0] stage_real[7:0];
reg [15:0] stage_imag[7:0];
always @(posedge clk or posedge reset) begin
if (reset) begin
for (i = 0; i < 8; i = i + 1) begin
twiddle_real[i] <= 16'h0000;
twiddle_imag[i] <= 16'h0000;
stage_real[i] <= 16'h0000;
stage_imag[i] <= 16'h0000;
end
end else begin
// Twiddle factors calculation
twiddle_real[0] <= 16'h7FFF; // Twiddle factor for stage 1
twiddle_imag[0] <= 16'h0000;
twiddle_real[1] <= 16'h5A82; // Twiddle factor for stage 2
twiddle_imag[1] <= 16'h5A82;
twiddle_real[2] <= 16'h0000; // Twiddle factor for stage 3
twiddle_imag[2] <= 16'h7FFF;
twiddle_real[3] <= -16'h5A82; // Twiddle factor for stage 4
twiddle_imag[3] <= 16'h5A82;
twiddle_real[4] <= -16'h7FFF; // Twiddle factor for stage 5
twiddle_imag[4] <= 16'h0000;
twiddle_real[5] <= -16'h5A82; // Twiddle factor for stage 6
twiddle_imag[5] <= -16'h5A82;
twiddle_real[6] <= 16'h0000; // Twiddle factor for stage 7
twiddle_imag[6] <= -16'h7FFF;
// Butterfly computation
stage_real[0] <= x_real;
stage_imag[0] <= x_imag;
stage_real[1] <= (stage_real[0] + (stage_real[0] >> 8));
stage_imag[1] <= (stage_imag[0] + (stage_imag[0] >> 8));
stage_real[2] <= (stage_real[0] - (stage_real[0] >> 8));
stage_imag[2] <= (stage_imag[0] - (stage_imag[0] >> 8));
stage_real[3] <= (stage_real[1]*twiddle_real[0] - stage_imag[1]*twiddle_imag[0]) >> 15;
stage_imag[3] <= (stage_real[1]*twiddle_imag[0] + stage_imag[1]*twiddle_real[0]) >> 15;
stage_real[4] <= (stage_real[1]*twiddle_real[1] - stage_imag[1]*twiddle_imag[1]) >> 15;
stage_imag[4] <= (stage_real[1]*twiddle_imag[1] + stage_imag[1]*twiddle_real[1]) >> 15;
stage_real[5] <= (stage_real[2]*twiddle_real[2] - stage_imag[2]*twiddle_imag[2]) >> 15;
stage_imag[5] <= (stage_real[2]*twiddle_imag[2] + stage_imag[2]*twiddle_real[2]) >> 15;
stage_real[6] <= (stage_real[2]*twiddle_real[3] - stage_imag[2]*twiddle_imag[3]) >> 15;
stage_imag[6] <= (stage_real[2]*twiddle_imag[3] + stage_imag[2]*twiddle_real[3]) >> 15;
stage_real[7] <= (stage_real[3]*twiddle_real[4] - stage_imag[3]*twiddle_imag[4]) >> 15;
stage_imag[7] <= (stage_real[3]*twiddle_imag[4] + stage_imag[3]*twiddle_real[4]) >> 15;
X_real <= stage_real[7];
X_imag <= stage_imag[7];
end
end
endmodule
```
This code represents an 8-point FFT implementation using fixed-point arithmetic. The input `x_real` and `x_imag` represent the real and imaginary parts of the input samples respectively. The output `X_real` and `X_imag` represent the real and imaginary parts of the FFT result.
Please note that this code is just a basic example, and you may need to modify it according to your specific requirements or design constraints.
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