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fix FGPA hi_read_r_xcorr.v:
* avoid overflows during accumulation and truncation * explicitely cast unsigned ADC samples to signed
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2 changed files with 43 additions and 16 deletions
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fpga/fpga_hf.bit
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@ -71,12 +71,15 @@ begin
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corr_i_cnt <= corr_i_cnt + 1;
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end
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// And a couple of registers in which to accumulate the correlations.
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// We would add at most 32 times the difference between unmodulated and modulated signal. It should
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// And a couple of registers in which to accumulate the correlations. From the 64 samples
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// we would add at most 32 times the difference between unmodulated and modulated signal. It should
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// be safe to assume that a tag will not be able to modulate the carrier signal by more than 25%.
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// 32 * 255 * 0,25 = 2040, which can be held in 11 bits. Add 1 bit for sign.
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reg signed [11:0] corr_i_accum;
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reg signed [11:0] corr_q_accum;
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// Temporary we might need more bits. For the 212kHz subcarrier we could possible add 32 times the
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// maximum signal value before a first subtraction would occur. 32 * 255 = 8160 can be held in 13 bits.
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// Add one bit for sign -> need 14 bit registers but final result will fit into 12 bits.
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reg signed [13:0] corr_i_accum;
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reg signed [13:0] corr_q_accum;
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// we will report maximum 8 significant bits
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reg signed [7:0] corr_i_out;
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reg signed [7:0] corr_q_out;
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@ -104,7 +107,7 @@ begin
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else
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begin // 424 kHz
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subcarrier_I = ~corr_i_cnt[4];
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subcarrier_Q = ~(corr_i_cnt[4]^corr_i_cnt[3]);
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subcarrier_Q = ~(corr_i_cnt[4] ^ corr_i_cnt[3]);
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end
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end
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@ -119,32 +122,56 @@ begin
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if(snoop)
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begin
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// Send 7 most significant bits of tag signal (signed), plus 1 bit reader signal
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corr_i_out <= {corr_i_accum[11:5], after_hysteresis_prev_prev};
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corr_q_out <= {corr_q_accum[11:5], after_hysteresis_prev};
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if (corr_i_accum[13:11] == 3'b000 || corr_i_accum[13:11] == 3'b111)
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corr_i_out <= {corr_i_accum[11:5], after_hysteresis_prev_prev};
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else // truncate to maximum value
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if (corr_i_accum[13] == 1'b0)
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corr_i_out <= {7'b0111111, after_hysteresis_prev_prev};
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else
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corr_i_out <= {7'b1000000, after_hysteresis_prev_prev};
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if (corr_q_accum[13:11] == 3'b000 || corr_q_accum[13:11] == 3'b111)
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corr_q_out <= {corr_q_accum[11:5], after_hysteresis_prev};
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else // truncate to maximum value
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if (corr_q_accum[13] == 1'b0)
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corr_q_out <= {7'b0111111, after_hysteresis_prev};
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else
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corr_q_out <= {7'b1000000, after_hysteresis_prev};
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after_hysteresis_prev_prev <= after_hysteresis;
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end
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else
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begin
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// Send 8 most significant bits of tag signal
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corr_i_out <= corr_i_accum[11:4];
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corr_q_out <= corr_q_accum[11:4];
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// Send 8 bits of tag signal
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if (corr_i_accum[13:11] == 3'b000 || corr_i_accum[13:11] == 3'b111)
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corr_i_out <= corr_i_accum[11:4];
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else // truncate to maximum value
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if (corr_i_accum[13] == 1'b0)
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corr_i_out <= 8'b01111111;
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else
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corr_i_out <= 8'b10000000;
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if (corr_q_accum[13:11] == 3'b000 || corr_q_accum[13:11] == 3'b111)
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corr_q_out <= corr_q_accum[11:4];
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else // truncate to maximum value
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if (corr_q_accum[13] == 1'b0)
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corr_q_out <= 8'b01111111;
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else
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corr_q_out <= 8'b10000000;
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end
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// Initialize next correlation.
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// Both I and Q reference signals are high when corr_i_nct == 0. Therefore need to accumulate.
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corr_i_accum <= adc_d;
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corr_q_accum <= adc_d;
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corr_i_accum <= $signed({1'b0,adc_d});
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corr_q_accum <= $signed({1'b0,adc_d});
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end
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else
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begin
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if (subcarrier_I)
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corr_i_accum <= corr_i_accum + adc_d;
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corr_i_accum <= corr_i_accum + $signed({1'b0,adc_d});
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else
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corr_i_accum <= corr_i_accum - adc_d;
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corr_i_accum <= corr_i_accum - $signed({1'b0,adc_d});
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if (subcarrier_Q)
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corr_q_accum <= corr_q_accum + adc_d;
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corr_q_accum <= corr_q_accum + $signed({1'b0,adc_d});
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else
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corr_q_accum <= corr_q_accum - adc_d;
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corr_q_accum <= corr_q_accum - $signed({1'b0,adc_d});
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end
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