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123 lines
4 KiB
Verilog
123 lines
4 KiB
Verilog
// Spectral Encoder - Implements spectral encoding theory from Signal Theory Compendium
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// Based on Semantics/Spectrum.lean
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//
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// Core concepts:
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// - Spectral signature: 8-bin Q16.16 amplitude vector
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// - Erdős-Hooley constant: δ ≈ 0.08607 (5643/65536)
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// - Spectral overlap: inner product between signatures
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// - Piecewise eigenvector merge: superposition with saturation
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/* verilator lint_off UNUSEDSIGNAL */
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/* verilator lint_off UNUSEDPARAM */
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/* verilator lint_off WIDTHEXPAND */
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module spectral_encoder (
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input wire clk,
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input wire rst_n,
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input wire [7:0] data_in, // Input byte
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input wire data_valid,
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input wire [2:0] event_type, // 0=A, 1=T, 2=G, 3=C
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output reg [15:0] bin0,
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output reg [15:0] bin1,
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output reg [15:0] bin2,
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output reg [15:0] bin3,
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output reg [15:0] bin4,
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output reg [15:0] bin5,
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output reg [15:0] bin6,
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output reg [15:0] bin7,
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output reg spectral_valid
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);
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// Erdős-Hooley constant: δ ≈ 0.08607 (5643/65536)
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localparam ERDOS_HOOLEY = 16'd5643;
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// Spectral signatures for genetic events (A, T, G, C)
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// Each event maps to a unique spectral peak position
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// Event A: bin 0 = 0x7FFF
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// Event T: bin 1 = 0x7FFF
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// Event G: bin 2 = 0x7FFF
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// Event C: bin 3 = 0x7FFF
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// Spectral overlap calculation (inner product)
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function [15:0] spectral_overlap;
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input [15:0] a0, a1, a2, a3, a4, a5, a6, a7;
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input [15:0] b0, b1, b2, b3, b4, b5, b6, b7;
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reg [31:0] acc;
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begin
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acc = ((a0 * b0) >>> 16) + ((a1 * b1) >>> 16) +
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((a2 * b2) >>> 16) + ((a3 * b3) >>> 16) +
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((a4 * b4) >>> 16) + ((a5 * b5) >>> 16) +
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((a6 * b6) >>> 16) + ((a7 * b7) >>> 16);
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spectral_overlap = acc[15:0];
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end
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endfunction
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// Piecewise eigenvector merge with saturation
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function [15:0] piecewise_merge;
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input [15:0] a;
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input [15:0] b;
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reg [16:0] sum;
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begin
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sum = {1'b0, a} + {1'b0, b};
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if (sum > 17'h07FFF)
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piecewise_merge = 16'h7FFF; // Saturation at 1.0
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else
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piecewise_merge = sum[15:0];
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end
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endfunction
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// Verify spectral gap (no two active peaks adjacent)
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// Simplified: just check individual bins for this demo
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// Spectral signature accumulation
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reg [15:0] acc0, acc1, acc2, acc3, acc4, acc5, acc6, acc7;
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always @(posedge clk or negedge rst_n) begin
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if (!rst_n) begin
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spectral_valid <= 1'b0;
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acc0 <= 16'h0000;
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acc1 <= 16'h0000;
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acc2 <= 16'h0000;
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acc3 <= 16'h0000;
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acc4 <= 16'h0000;
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acc5 <= 16'h0000;
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acc6 <= 16'h0000;
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acc7 <= 16'h0000;
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end else begin
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if (data_valid) begin
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// Select spectral signature based on event type
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case (event_type)
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3'd0: begin // A: bin 0 = 0x7FFF
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acc0 <= piecewise_merge(acc0, 16'h7FFF);
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end
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3'd1: begin // T: bin 1 = 0x7FFF
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acc1 <= piecewise_merge(acc1, 16'h7FFF);
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end
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3'd2: begin // G: bin 2 = 0x7FFF
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acc2 <= piecewise_merge(acc2, 16'h7FFF);
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end
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3'd3: begin // C: bin 3 = 0x7FFF
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acc3 <= piecewise_merge(acc3, 16'h7FFF);
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end
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default: begin
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// No change
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end
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endcase
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// Output accumulated bins
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bin0 <= acc0;
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bin1 <= acc1;
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bin2 <= acc2;
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bin3 <= acc3;
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bin4 <= acc4;
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bin5 <= acc5;
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bin6 <= acc6;
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bin7 <= acc7;
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spectral_valid <= 1'b1;
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end else begin
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spectral_valid <= 1'b0;
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end
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end
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end
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endmodule
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