This is a new LF edge detection algorithm for the FPGA.
- It uses a low-pass IIR filter to clean the signal
(see https://fail0verflow.com/blog/2014/proxmark3-fpga-iir-filter.html)
- The algorithm is able to detect consecutive peaks in the same
direction
- It uses an envelope follower to dynamically adjust the peak thresholds
- The main threshold used in the envelope follower can be set from the ARM side
fpga/lf_edge_detect.v,
fpga/lp20khz_1MSa_iir_filter.v,
fpga/min_max_tracker.v: New file.
fpga/lo_edge_detect.v, fpga/fpga_lf.v: Modify accordingly.
armsrc/apps.h (FPGA_CMD_SET_USER_BYTE1,
FPGA_CMD_SET_EDGE_DETECT_THRESHOLD): New FPGA command.
fpga/fpga_lf.v: Modify accordingly/Add a 8bit user register.
fpga/fpga_lf.bit: Update accordingly.
fpga/tests: New directory for testbenches
fpga/tests/Makefile: New file. It compiles the testbenches
and runs all the tests by default (comparing with the golden output)
fpga/tests/tb_lp20khz_1MSa_iir_filter.v,
fpga/tests/tb_min_max_tracker.v,
fpga/tests/tb_lf_edge_detect.v: New testbenches
fpga/tests/plot_edgedetect.py: New script to plot the results from
the edge detection tests.
fpga/tests/tb_data: New directory for data and golden outputs
luac
fpga/*
+!fpga/tests
!fpga/fpga_lf.bit
!fpga/fpga_hf.bit
!fpga/*.v
// Definitions for the FPGA commands.
#define FPGA_CMD_SET_CONFREG (1<<12)
#define FPGA_CMD_SET_DIVISOR (2<<12)
+#define FPGA_CMD_SET_USER_BYTE1 (3<<12)
// Definitions for the FPGA configuration word.
// LF
#define FPGA_MAJOR_MODE_LF_ADC (0<<5)
// Options for LF_ADC
#define FPGA_LF_ADC_READER_FIELD (1<<0)
// Options for LF_EDGE_DETECT
+#define FPGA_CMD_SET_EDGE_DETECT_THRESHOLD FPGA_CMD_SET_USER_BYTE1
#define FPGA_LF_EDGE_DETECT_READER_FIELD (1<<0)
+#define FPGA_LF_EDGE_DETECT_TOGGLE_MODE (1<<1)
// Options for the HF reader, tx to tag
#define FPGA_HF_READER_TX_SHALLOW_MOD (1<<0)
// Options for the HF reader, correlating against rx from tag
$(DELETE) $@
$(XILINX_TOOLS_PREFIX)xst -ifn xst_hf.scr
-fpga_lf.ngc: fpga_lf.v fpga.ucf xst_lf.scr util.v clk_divider.v lo_edge_detect.v lo_read.v lo_passthru.v
+fpga_lf.ngc: fpga_lf.v fpga.ucf xst_lf.scr util.v clk_divider.v lo_edge_detect.v lo_read.v lo_passthru.v lp20khz_1MSa_iir_filter.v min_max_tracker.v lf_edge_detect.v
$(DELETE) $@
$(XILINX_TOOLS_PREFIX)xst -ifn xst_lf.scr
//-----------------------------------------------------------------------------
-// The FPGA is responsible for interfacing between the A/D, the coil drivers,
-// and the ARM. In the low-frequency modes it passes the data straight
-// through, so that the ARM gets raw A/D samples over the SSP. In the high-
-// frequency modes, the FPGA might perform some demodulation first, to
-// reduce the amount of data that we must send to the ARM.
-//
-// I am not really an FPGA/ASIC designer, so I am sure that a lot of this
-// could be improved.
-//
// Jonathan Westhues, March 2006
// iZsh <izsh at fail0verflow.com>, June 2014
//-----------------------------------------------------------------------------
reg [15:0] shift_reg;
reg [7:0] divisor;
reg [7:0] conf_word;
+reg [7:0] user_byte1;
-// We switch modes between transmitting to the 13.56 MHz tag and receiving
-// from it, which means that we must make sure that we can do so without
-// glitching, or else we will glitch the transmitted carrier.
always @(posedge ncs)
begin
case(shift_reg[15:12])
- 4'b0001: conf_word <= shift_reg[7:0]; // FPGA_CMD_SET_CONFREG
- 4'b0010: divisor <= shift_reg[7:0]; // FPGA_CMD_SET_DIVISOR
+ 4'b0001:
+ begin
+ conf_word <= shift_reg[7:0];
+ if (shift_reg[7:0] == 8'b00000001) begin // LF edge detect
+ user_byte1 <= 127; // default threshold
+ end
+ end
+ 4'b0010: divisor <= shift_reg[7:0]; // FPGA_CMD_SET_DIVISOR
+ 4'b0011: user_byte1 <= shift_reg[7:0]; // FPGA_CMD_SET_USER_BYTE1
endcase
end
end
end
-wire [2:0] major_mode;
-assign major_mode = conf_word[7:5];
+wire [2:0] major_mode = conf_word[7:5];
// For the low-frequency configuration:
wire lf_field = conf_word[0];
+wire lf_ed_toggle_mode = conf_word[1]; // for lo_edge_detect
+wire [7:0] lf_ed_threshold = user_byte1;
//-----------------------------------------------------------------------------
// And then we instantiate the modules corresponding to each of the FPGA's
);
lo_edge_detect le(
- pck0, pck_cnt, pck_divclk,
+ pck0, pck_divclk,
le_pwr_lo, le_pwr_hi, le_pwr_oe1, le_pwr_oe2, le_pwr_oe3, le_pwr_oe4,
adc_d, le_adc_clk,
le_ssp_frame, ssp_dout, le_ssp_clk,
cross_lo,
le_dbg,
- lf_field
+ lf_field,
+ lf_ed_toggle_mode, lf_ed_threshold
);
// Major modes:
// 010 -- LF passthrough
mux8 mux_ssp_clk (major_mode, ssp_clk, lr_ssp_clk, le_ssp_clk, 1'b0, 1'b0, 1'b0, 1'b0, 1'b0, 1'b0);
-mux8 mux_ssp_din (major_mode, ssp_din, lr_ssp_din, 1'b0, 1'b0, 1'b0, 1'b0, 1'b0, 1'b0, 1'b0);
+mux8 mux_ssp_din (major_mode, ssp_din, lr_ssp_din, 1'b0, lp_ssp_din, 1'b0, 1'b0, 1'b0, 1'b0, 1'b0);
mux8 mux_ssp_frame (major_mode, ssp_frame, lr_ssp_frame, le_ssp_frame, 1'b0, 1'b0, 1'b0, 1'b0, 1'b0, 1'b0);
mux8 mux_pwr_oe1 (major_mode, pwr_oe1, lr_pwr_oe1, le_pwr_oe1, lp_pwr_oe1, 1'b0, 1'b0, 1'b0, 1'b0, 1'b0);
mux8 mux_pwr_oe2 (major_mode, pwr_oe2, lr_pwr_oe2, le_pwr_oe2, lp_pwr_oe2, 1'b0, 1'b0, 1'b0, 1'b0, 1'b0);
--- /dev/null
+//-----------------------------------------------------------------------------
+// Copyright (C) 2014 iZsh <izsh at fail0verflow.com>
+//
+// This code is licensed to you under the terms of the GNU GPL, version 2 or,
+// at your option, any later version. See the LICENSE.txt file for the text of
+// the license.
+//-----------------------------------------------------------------------------
+// input clk is 24Mhz
+`include "min_max_tracker.v"
+
+module lf_edge_detect(input clk, input [7:0] adc_d, input [7:0] lf_ed_threshold,
+ output [7:0] max, output [7:0] min,
+ output [7:0] high_threshold, output [7:0] highz_threshold,
+ output [7:0] lowz_threshold, output [7:0] low_threshold,
+ output edge_state, output edge_toggle);
+
+ min_max_tracker tracker(clk, adc_d, lf_ed_threshold, min, max);
+
+ // auto-tune
+ assign high_threshold = (max + min) / 2 + (max - min) / 4;
+ assign highz_threshold = (max + min) / 2 + (max - min) / 8;
+ assign lowz_threshold = (max + min) / 2 - (max - min) / 8;
+ assign low_threshold = (max + min) / 2 - (max - min) / 4;
+
+ // heuristic to see if it makes sense to try to detect an edge
+ wire enabled =
+ (high_threshold > highz_threshold)
+ & (highz_threshold > lowz_threshold)
+ & (lowz_threshold > low_threshold)
+ & ((high_threshold - highz_threshold) > 8)
+ & ((highz_threshold - lowz_threshold) > 16)
+ & ((lowz_threshold - low_threshold) > 8);
+
+ // Toggle the output with hysteresis
+ // Set to high if the ADC value is above the threshold
+ // Set to low if the ADC value is below the threshold
+ reg is_high = 0;
+ reg is_low = 0;
+ reg is_zero = 0;
+ reg trigger_enabled = 1;
+ reg output_edge = 0;
+ reg output_state;
+
+ always @(posedge clk)
+ begin
+ is_high <= (adc_d >= high_threshold);
+ is_low <= (adc_d <= low_threshold);
+ is_zero <= ((adc_d > lowz_threshold) & (adc_d < highz_threshold));
+ end
+
+ // all edges detection
+ always @(posedge clk)
+ if (enabled) begin
+ // To enable detecting two consecutive peaks at the same level
+ // (low or high) we check whether or not we went back near 0 in-between.
+ // This extra check is necessary to prevent from noise artifacts
+ // around the threshold values.
+ if (trigger_enabled & (is_high | is_low)) begin
+ output_edge <= ~output_edge;
+ trigger_enabled <= 0;
+ end else
+ trigger_enabled <= trigger_enabled | is_zero;
+ end
+
+ // edge states
+ always @(posedge clk)
+ if (enabled) begin
+ if (is_high)
+ output_state <= 1'd1;
+ else if (is_low)
+ output_state <= 1'd0;
+ end
+
+ assign edge_state = output_state;
+ assign edge_toggle = output_edge;
+
+endmodule
//-----------------------------------------------------------------------------
-// The way that we connect things in low-frequency simulation mode. In this
-// case just pass everything through to the ARM, which can bit-bang this
-// (because it is so slow).
+// Copyright (C) 2014 iZsh <izsh at fail0verflow.com>
//
-// Jonathan Westhues, April 2006
-// iZsh <izsh at fail0verflow.com>, June 2014
+// This code is licensed to you under the terms of the GNU GPL, version 2 or,
+// at your option, any later version. See the LICENSE.txt file for the text of
+// the license.
//-----------------------------------------------------------------------------
+//
+// There are two modes:
+// - lf_ed_toggle_mode == 0: the output is set low (resp. high) when a low
+// (resp. high) edge/peak is detected, with hysteresis
+// - lf_ed_toggle_mode == 1: the output is toggling whenever an edge/peak
+// is detected.
+// That way you can detect two consecutive edges/peaks at the same level (L/H)
+//
+// Output:
+// - ssp_frame (wired to TIOA1 on the arm) for the edge detection/state
+// - ssp_clk: cross_lo
+`include "lp20khz_1MSa_iir_filter.v"
+`include "lf_edge_detect.v"
module lo_edge_detect(
- input pck0, input [7:0] pck_cnt, input pck_divclk,
- output pwr_lo, output pwr_hi,
- output pwr_oe1, output pwr_oe2, output pwr_oe3, output pwr_oe4,
- input [7:0] adc_d, output adc_clk,
- output ssp_frame, input ssp_dout, output ssp_clk,
- input cross_lo,
- output dbg,
- input lf_field
+ input pck0, input pck_divclk,
+ output pwr_lo, output pwr_hi,
+ output pwr_oe1, output pwr_oe2, output pwr_oe3, output pwr_oe4,
+ input [7:0] adc_d, output adc_clk,
+ output ssp_frame, input ssp_dout, output ssp_clk,
+ input cross_lo,
+ output dbg,
+ input lf_field,
+ input lf_ed_toggle_mode, input [7:0] lf_ed_threshold
);
wire tag_modulation = ssp_dout & !lf_field;
assign ssp_clk = cross_lo;
assign pwr_lo = reader_modulation;
assign pwr_hi = 1'b0;
-assign dbg = ssp_frame;
-
-assign adc_clk = ~pck_divclk;
-
-// Toggle the output with hysteresis
-// Set to high if the ADC value is above 200
-// Set to low if the ADC value is below 64
-reg is_high;
-reg is_low;
-reg output_state;
-
-always @(posedge pck0)
-begin
- if((pck_cnt == 8'd7) && !pck_divclk) begin
- is_high = (adc_d >= 8'd190);
- is_low = (adc_d <= 8'd70);
- end
-end
-
-always @(posedge is_high or posedge is_low)
-begin
- if(is_high)
- output_state <= 1'd1;
- else if(is_low)
- output_state <= 1'd0;
-end
-
-assign ssp_frame = output_state;
+
+// filter the ADC values
+wire data_rdy;
+wire [7:0] adc_filtered;
+assign adc_clk = pck0;
+lp20khz_1MSa_iir_filter adc_filter(pck0, adc_d, data_rdy, adc_filtered);
+
+// detect edges
+wire [7:0] high_threshold, highz_threshold, lowz_threshold, low_threshold;
+wire [7:0] max, min;
+wire edge_state, edge_toggle;
+lf_edge_detect lf_ed(pck0, adc_filtered, lf_ed_threshold,
+ max, min,
+ high_threshold, highz_threshold, lowz_threshold, low_threshold,
+ edge_state, edge_toggle);
+
+assign dbg = lf_ed_toggle_mode ? edge_toggle : edge_state;
+
+assign ssp_frame = lf_ed_toggle_mode ? edge_toggle : edge_state;
endmodule
--- /dev/null
+//-----------------------------------------------------------------------------
+// Copyright (C) 2014 iZsh <izsh at fail0verflow.com>
+//
+// This code is licensed to you under the terms of the GNU GPL, version 2 or,
+// at your option, any later version. See the LICENSE.txt file for the text of
+// the license.
+//-----------------------------------------------------------------------------
+// Butterworth low pass IIR filter
+// input: 8bit ADC signal, 1MS/s
+// output: 8bit value, Fc=20khz
+//
+// coef: (using http://www-users.cs.york.ac.uk/~fisher/mkfilter/trad.html)
+// Recurrence relation:
+// y[n] = ( 1 * x[n- 2])
+// + ( 2 * x[n- 1])
+// + ( 1 * x[n- 0])
+
+// + ( -0.8371816513 * y[n- 2])
+// + ( 1.8226949252 * y[n- 1])
+//
+// therefore:
+// a = [1,2,1]
+// b = [-0.8371816513, 1.8226949252]
+// b is approximated to b = [-0xd6/0x100, 0x1d3 / 0x100] (for optimization)
+// gain = 2.761139367e2
+//
+// See details about its design see
+// https://fail0verflow.com/blog/2014/proxmark3-fpga-iir-filter.html
+module lp20khz_1MSa_iir_filter(input clk, input [7:0] adc_d, output rdy, output [7:0] out);
+
+ // clk is 24Mhz, the IIR filter is designed for 1MS/s
+ // hence we need to divide it by 24
+ // using a shift register takes less area than a counter
+ reg [23:0] cnt = 1;
+ assign rdy = cnt[0];
+ always @(posedge clk)
+ cnt <= {cnt[22:0], cnt[23]};
+
+ reg [7:0] x0 = 0;
+ reg [7:0] x1 = 0;
+ reg [16:0] y0 = 0;
+ reg [16:0] y1 = 0;
+
+ always @(posedge clk)
+ begin
+ if (rdy)
+ begin
+ x0 <= x1;
+ x1 <= adc_d;
+ y0 <= y1;
+ y1 <=
+ // center the signal:
+ // input range is [0; 255]
+ // We want "128" to be at the center of the 17bit register
+ // (128+z)*gain = 17bit center
+ // z = (1<<16)/gain - 128 = 109
+ // We could use 9bit x registers for that, but that would be
+ // a waste, let's just add the constant during the computation
+ // (x0+109) + 2*(x1+109) + (x2+109) = x0 + 2*x1 + x2 + 436
+ x0 + {x1, 1'b0} + adc_d + 436
+ // we want "- y0 * 0xd6 / 0x100" using only shift and add
+ // 0xd6 == 0b11010110
+ // so *0xd6/0x100 is equivalent to
+ // ((x << 1) + (x << 2) + (x << 4) + (x << 6) + (x << 7)) >> 8
+ // which is also equivalent to
+ // (x >> 7) + (x >> 6) + (x >> 4) + (x >> 2) + (x >> 1)
+ - ((y0 >> 7) + (y0 >> 6) + (y0 >> 4) + (y0 >> 2) + (y0 >> 1)) // - y0 * 0xd6 / 0x100
+ // we want "+ y1 * 0x1d3 / 0x100"
+ // 0x1d3 == 0b111010011
+ // so this is equivalent to
+ // ((x << 0) + (x << 1) + (x << 4) + (x << 6) + (x << 7) + (x << 8)) >> 8
+ // which is also equivalent to
+ // (x >> 8) + (x >> 7) + (x >> 4) + (x >> 2) + (x >> 1) + (x >> 0)
+ + ((y1 >> 8) + (y1 >> 7) + (y1 >> 4) + (y1 >> 2) + (y1 >> 1) + y1);
+ end
+ end
+
+ // output: reduce to 8bit
+ assign out = y1[16:9];
+
+endmodule
--- /dev/null
+//-----------------------------------------------------------------------------
+// Copyright (C) 2014 iZsh <izsh at fail0verflow.com>
+//
+// This code is licensed to you under the terms of the GNU GPL, version 2 or,
+// at your option, any later version. See the LICENSE.txt file for the text of
+// the license.
+//-----------------------------------------------------------------------------
+// track min and max peak values (envelope follower)
+//
+// NB: the min value (resp. max value) is updated only when the next high peak
+// (resp. low peak) is reached/detected, since you can't know it isn't a
+// local minima (resp. maxima) until then.
+// This also means the peaks are detected with an unpredictable delay.
+// This algorithm can't therefore be used directly for realtime peak detections,
+// but it can be used as a simple envelope follower.
+module min_max_tracker(input clk, input [7:0] adc_d, input [7:0] threshold,
+ output [7:0] min, output [7:0] max);
+
+ reg [7:0] min_val = 255;
+ reg [7:0] max_val = 0;
+ reg [7:0] cur_min_val = 255;
+ reg [7:0] cur_max_val = 0;
+ reg [1:0] state = 0;
+
+ always @(posedge clk)
+ begin
+ case (state)
+ 0:
+ begin
+ if (cur_max_val >= ({1'b0, adc_d} + threshold))
+ state <= 2;
+ else if (adc_d >= ({1'b0, cur_min_val} + threshold))
+ state <= 1;
+ if (cur_max_val <= adc_d)
+ cur_max_val <= adc_d;
+ else if (adc_d <= cur_min_val)
+ cur_min_val <= adc_d;
+ end
+ 1:
+ begin
+ if (cur_max_val <= adc_d)
+ cur_max_val <= adc_d;
+ else if (({1'b0, adc_d} + threshold) <= cur_max_val) begin
+ state <= 2;
+ cur_min_val <= adc_d;
+ max_val <= cur_max_val;
+ end
+ end
+ 2:
+ begin
+ if (adc_d <= cur_min_val)
+ cur_min_val <= adc_d;
+ else if (adc_d >= ({1'b0, cur_min_val} + threshold)) begin
+ state <= 1;
+ cur_max_val <= adc_d;
+ min_val <= cur_min_val;
+ end
+ end
+ endcase
+ end
+
+ assign min = min_val;
+ assign max = max_val;
+
+endmodule
--- /dev/null
+#-----------------------------------------------------------------------------
+# Copyright (C) 2014 iZsh <izsh at fail0verflow.com>
+#
+# This code is licensed to you under the terms of the GNU GPL, version 2 or,
+# at your option, any later version. See the LICENSE.txt file for the text of
+# the license.
+#-----------------------------------------------------------------------------
+
+TEST_OUTDIR = tb_tmp
+
+TB_SOURCES = \
+ tb_lp20khz_1MSa_iir_filter.v \
+ tb_min_max_tracker.v \
+ tb_lf_edge_detect.v
+
+TBS = $(TB_SOURCES:.v=.vvp)
+
+TB_DATA = \
+ pcf7931_write1byte_1MSA_data \
+ pcf7931_read_1MSA_data
+
+all: $(TBS) tests
+
+%.vvp: %.v
+ iverilog -I .. -o $@ $<
+
+clean:
+ rm -rf *.vvp $(TEST_OUTDIR)
+
+tests: tb_lp20khz_1MSa_iir_filter tb_min_max_tracker tb_lf_edge_detect
+
+tb_lp20khz_1MSa_iir_filter: tb_lp20khz_1MSa_iir_filter.vvp | test_dir
+ @printf "Testing $@\n"
+ @for d in $(TB_DATA); do \
+ $(call run_test,$@.vvp,$$d,in); \
+ $(call check_golden,$$d,filtered); \
+ done; \
+ rm -f $(TEST_OUTDIR)/data.*
+
+tb_min_max_tracker: tb_min_max_tracker.vvp | test_dir
+ @printf "Testing $@\n"
+ @for d in $(TB_DATA); do \
+ $(call run_test,$@.vvp,$$d,in filtered.gold); \
+ $(call check_golden,$$d,min); \
+ $(call check_golden,$$d,max); \
+ done; \
+ rm -f $(TEST_OUTDIR)/data.*
+
+tb_lf_edge_detect: tb_lf_edge_detect.vvp | test_dir
+ @printf "Testing $@\n"
+ @for d in $(TB_DATA); do \
+ $(call run_test,$@.vvp,$$d,in filtered.gold); \
+ $(call check_golden,$$d,min); \
+ $(call check_golden,$$d,max); \
+ $(call check_golden,$$d,state); \
+ $(call check_golden,$$d,toggle); \
+ $(call check_golden,$$d,high); \
+ $(call check_golden,$$d,highz); \
+ $(call check_golden,$$d,lowz); \
+ $(call check_golden,$$d,low); \
+ done; \
+ rm -f $(TEST_OUTDIR)/data.*
+
+test_dir:
+ @if [ ! -d $(TEST_OUTDIR) ] ; then mkdir $(TEST_OUTDIR) ; fi
+
+.PHONY: all clean
+
+# $(1) = basename
+# $(2) = extension to check
+check_golden = \
+ printf " Checking $(1).$(2)... "; \
+ mv $(TEST_OUTDIR)/data.$(2) $(TEST_OUTDIR)/$(1).$(2); \
+ if cmp -s tb_data/$(1).$(2).gold $(TEST_OUTDIR)/$(1).$(2); then \
+ printf "OK\n"; \
+ else \
+ printf "ERROR\n"; \
+ fi
+
+# $(1) = vvp file
+# $(2) = data basename
+# $(3) = data extensions to copy
+run_test = \
+ env echo " With $(2)... "; \
+ cp tb_data/$(2).time $(TEST_OUTDIR); \
+ for e in $(3); do cp tb_data/$(2).$$e $(TEST_OUTDIR)/data.$$e; done; \
+ ./$(1)
--- /dev/null
+#!/usr/bin/env python
+#-----------------------------------------------------------------------------
+# Copyright (C) 2014 iZsh <izsh at fail0verflow.com>
+#
+# This code is licensed to you under the terms of the GNU GPL, version 2 or,
+# at your option, any later version. See the LICENSE.txt file for the text of
+# the license.
+#-----------------------------------------------------------------------------
+import numpy
+import matplotlib.pyplot as plt
+import sys
+
+if len(sys.argv) != 2:
+ print "Usage: %s <basename>" % sys.argv[0]
+ sys.exit(1)
+
+BASENAME = sys.argv[1]
+
+nx = numpy.fromfile(BASENAME + ".time")
+
+def plot_time(dat1):
+ plt.plot(nx, dat1)
+
+sig = open(BASENAME + ".filtered").read()
+sig = map(lambda x: ord(x), sig)
+
+min_vals = open(BASENAME + ".min").read()
+min_vals = map(lambda x: ord(x), min_vals)
+
+max_vals = open(BASENAME + ".max").read()
+max_vals = map(lambda x: ord(x), max_vals)
+
+states = open(BASENAME + ".state").read()
+states = map(lambda x: ord(x) * 10 + 65, states)
+
+toggles = open(BASENAME+ ".toggle").read()
+toggles = map(lambda x: ord(x) * 10 + 80, toggles)
+
+high = open(BASENAME + ".high").read()
+high = map(lambda x: ord(x), high)
+highz = open(BASENAME + ".highz").read()
+highz = map(lambda x: ord(x), highz)
+lowz = open(BASENAME + ".lowz").read()
+lowz = map(lambda x: ord(x), lowz)
+low = open(BASENAME + ".low").read()
+low = map(lambda x: ord(x), low)
+
+plot_time(sig)
+plot_time(min_vals)
+plot_time(max_vals)
+plot_time(states)
+plot_time(toggles)
+plot_time(high)
+plot_time(highz)
+plot_time(lowz)
+plot_time(low)
+
+plt.show()
--- /dev/null
+\ 1\ 3\a\f\12\19 (/7?GNU\cioty~\82\86\8a\8d\90\93\96\98\9a\9b\9d\9e\9f 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projects / proxmark3-svn / commitdiff