#!/usr/bin/env python3 # -*- coding: utf-8 -*- """PD132T vs PD136HA 响应对比图(纯 stdlib 手写 SVG) 面板 A:同一判据下的 CAPVD 响应(时域;Δf/f = +0.5% 大信号 与 +0.15% 近阈值两组) 面板 B:检测延迟 vs Δf/f(对数扫描)—— 看「窗主导」与「τ 主导」的分界 转 PNG:chromium --headless=new --disable-gpu --no-sandbox \ --screenshot=docs/img/response-compare.svg.png --window-size=1520,980 \ file://$PWD/docs/img/response-compare-pd132t-pd136ha.svg """ import math FONT = "'Noto Serif CJK SC','Source Han Serif SC','WenQuanYi Zen Hei',sans-serif" W, H = 1520.0, 980.0 o = [] def add(s): o.append(s) def esc(s): return s.replace('&', '&').replace('<', '<').replace('>', '>') def txt(x, y, s, fs=14, fill='#222', anchor='start', w='400'): add(f'{esc(s)}') def line(x1, y1, x2, y2, col='#888', w=1, dash=None): d = f' stroke-dasharray="{dash}"' if dash else '' add(f'') def rect(x, y, w_, h_, fill='none', stroke='#999', sw=1, rx=4, op=1.0): add(f'') def poly(pts, col, w=2.2, dash=None): d = f' stroke-dasharray="{dash}"' if dash else '' p = ' '.join(f'{x:.1f},{y:.1f}' for x, y in pts) add(f'') def dot(x, y, r=4.2, col='#c1121f'): add(f'') def note(x, y, w_, h_, title, lines_, col='#0b6'): rect(x, y, w_, h_, fill='#f7fbff', stroke=col) txt(x + 12, y + 26, title, 15, '#0b4f7a', w='700') for i, s in enumerate(lines_): txt(x + 12, y + 52 + i * 21, s, 14, '#333') # ============ 模型参数(与 measurement-window-quantization.md 同源公式) ============ def model(name, f_cap, edge, alfa, sens_in, color, f_coil=100e3, base=32768, div=32): xn0 = round(div * f_cap / (edge * f_coil)) lp = base // xn0 tw = lp * xn0 / f_cap return dict(name=name, color=color, alfa=alfa, thr=sens_in / 65536.0, tw=tw, xn0=xn0, lp=lp, tau=-tw / math.log(1 - alfa / 256.0), tau_pl=tw * 256.0 / alfa) PT = model('PD132T', 3.0e6, 2, 79, 60, '#1565c0') PH = model('PD136HA', 1.5e6, 1, 64, 81, '#e65100') def resp(m, df, n): """第 n 次(0-based)CAPVD 更新后的 Δf/f(相对值)""" return df * (1.0 - (1.0 - m['alfa'] / 256.0) ** (n + 1)) def delay_ms(m, df, cap=20000): """返回 (窗数-截止更新序号 idx, 时间 ms);idx=None 表示 cap 内不可检""" n = 0 while n < cap: if resp(m, df, n) >= m['thr']: return n, (n + 1) * m['tw'] * 1e3 n += 1 return None, None # ================== 面板 A:时域响应 ================== AX0, AX1, AY0, AY1 = 110.0, 700.0, 640.0, 150.0 TMAX = 300.0 # ms VMAX = 0.62 # % ax = lambda t: AX0 + (t / TMAX) * (AX1 - AX0) # t in ms ay = lambda v: AY0 - (v / VMAX) * (AY0 - AY1) # v in % txt(30, 40, 'PD132T ↔ PD136HA 响应对比:同一判据口径,不同测量节拍与滤波', 21, '#111', w='700') txt(30, 66, 'PD132T: 窗 10.880 ms / α=79 / τ=29.5 ms(产品线口径 35.3 ms) ' 'PD136HA: 窗 21.760 ms / α=64 / τ=76.0 ms(产品线口径 87.0 ms) 站点 100 kHz', 13.5, '#555') txt(AX0 - 10, AY1 - 18, '面板 A:CAPVD 响应(时域,一次完全占据)', 15.5, '#0b4f7a', 'start', '700') rect(AX0, AY1, AX1 - AX0, AY0 - AY1, fill='#fcfcfc', stroke='#ccc') base_l = AY0 + 38 line(AX0, AY0, AX1, AY0, '#888', 1.5) line(AX0, AY1, AX0, AY0, '#888', 1.5) for i in range(7): v = i * 0.1 line(AX0, ay(v), AX1, ay(v), '#eee', 1) txt(AX0 - 8, ay(v) + 5, '%.1f%%' % v, 12.5, '#666', 'end') txt(AX0 + 10, AY1 + 22, 'Δf/f', 13, '#444', w='700') for t in range(0, 301, 50): line(ax(t), AY0, ax(t), AY0 + 6, '#888', 1) txt(ax(t), base_l, str(t), 12.5, '#666', 'middle') txt((AX0 + AX1) / 2, base_l + 24, '时间(ms)', 13.5, '#444', 'middle', '700') # 阈值线(各型号档1 进入) line(AX0, ay(PT['thr'] * 100), AX1, ay(PT['thr'] * 100), '#1565c0', 1.4, '6,4') line(AX0, ay(PH['thr'] * 100), AX1, ay(PH['thr'] * 100), '#e65100', 1.4, '6,4') txt(ax(205), ay(PT['thr'] * 100) + 20, 'PD132T 档1 0.0916%', 12.5, '#1565c0') txt(ax(205), ay(PH['thr'] * 100) + 20, 'PD136HA 档1 0.1236%', 12.5, '#e65100') # 两条响应(阶梯) def stair_ms(m, df, tmax=TMAX): pts = [(ax(0.0), ay(0.0))] t = 0.0 n = 0 while t <= tmax: pts.append((ax(t), ay(resp(m, df * 100, n) if False else resp(m, df, n) * 100))) t += m['tw'] * 1e3 n += 1 return pts for m in (PT, PH): for df, dash, lw in ((0.005, None, 2.6), (0.0015, '7,5', 1.8)): pts = [(ax(0.0), ay(0.0))] t = 0.0 n = 0 while t <= TMAX: pts.append((ax(t), ay(resp(m, df, n) * 100))) t += m['tw'] * 1e3 n += 1 poly(pts, m['color'], lw, dash) # 越线标记 for m, df in ((PT, 0.005), (PH, 0.005), (PT, 0.0015), (PH, 0.0015)): i, ms = delay_ms(m, df) if i is None: continue dot(ax(ms), ay(resp(m, df, i) * 100), 4.6 if df == 0.005 else 3.4, m['color']) iT5, msT5 = delay_ms(PT, 0.005); iH5, msH5 = delay_ms(PH, 0.005) iT15, msT15 = delay_ms(PT, 0.0015); iH15, msH15 = delay_ms(PH, 0.0015) note(110, 716, 580, 158, '越线时刻与读图要点(同一判据口径)', [ '大信号 +0.5%%:PD132T 第 %d 窗 ⇒ %.1f ms | PD136HA 第 %d 窗 ⇒ %.1f ms' % (iT5 + 1, msT5, iH5 + 1, msH5), '近阈值 +0.15%%:PD132T 第 %d 窗 ⇒ %.1f ms | PD136HA 第 %d 窗 ⇒ %.1f ms' % (iT15 + 1, msT15, iH15 + 1, msH15), '⇒ 大信号由「窗长」决定(2×);近阈值由「τ」决定(≈4.7×)', '面板 B:右侧平坦段 = 1 窗下限;左侧陡升 = IIR(τ) 主导;阈值以下永不检到', ], '#0b6') txt(110, 890, '蓝 = PD132T,橙 = PD136HA;实线 = 大信号(+0.5%),虚线 = 近阈值(+0.15%)', 13, '#555') # ================== 面板 B:检测延迟 vs Δf/f(对数扫描) ================== BX0, BX1, BYB, BYT = 830.0, 1430.0, 830.0, 170.0 DLO, DHI = 4.0, 3000.0 # ms RLO, RHI = 0.02, 5.0 # % bx = lambda v: BX0 + (math.log10(v / RLO) / math.log10(RHI / RLO)) * (BX1 - BX0) by = lambda d: BYB - (math.log10(d / DLO) / math.log10(DHI / DLO)) * (BYB - BYT) txt(BX0 - 10, BYT - 18, '面板 B:检测延迟随信号强度(对数扫描)', 15.5, '#0b4f7a', 'start', '700') rect(BX0, BYT, BX1 - BX0, BYB - BYT, fill='#fcfcfc', stroke='#ccc') line(BX0, BYB, BX1, BYB, '#888', 1.5) line(BX0, BYT, BX0, BYB, '#888', 1.5) for d in (4, 10, 30, 100, 300, 1000, 3000): line(BX0, by(d), BX1, by(d), '#eee', 1) txt(BX0 - 8, by(d) + 5, ('%g' % d) + ' ms', 12.5, '#666', 'end') for v in (0.02, 0.05, 0.1, 0.2, 0.5, 1, 2, 5): line(bx(v), BYB, bx(v), BYB - 6, '#888', 1) txt(bx(v), BYB + 22, ('%g' % v) + '%', 12.5, '#666', 'middle') txt((BX0 + BX1) / 2, BYB + 48, '车辆引起的 Δf/f(%,对数轴)', 13.5, '#444', 'middle', '700') # 典型车型区间 rect(bx(0.1), BYT, bx(1.0) - bx(0.1), BYB - BYT, fill='#f2c200', stroke='none', op=0.13) txt(bx(0.1) + 6, BYT + 20, '典型车型 0.1%~1%', 12.5, '#8a6d00') # 曲线 for m in (PT, PH): pts = [] v = RLO * 1.05 while v <= RHI: i, ms = delay_ms(m, v / 100.0, cap=4000) v *= 1.02 if i is None: continue if ms > DHI: break pts.append((bx(v), by(ms))) poly(pts, m['color'], 2.6) # 阈值竖线 thrp = m['thr'] * 100 line(bx(thrp), BYB, bx(thrp), BYT, m['color'], 1.4, '6,4') anc = 'end' if m is PT else 'start' off = -6 if m is PT else 6 txt(bx(thrp) + off, BYT - 6, '%s 档1 %.4f%%' % (m['name'], thrp), 12.5, m['color'], anc) # 1 窗平台标注 line(BX0, by(m['tw'] * 1e3), bx(thrp), by(m['tw'] * 1e3), m['color'], 1.2, '3,4') txt(bx(thrp) + 8, by(m['tw'] * 1e3) - 7, '≈1 窗 %.2f ms' % (m['tw'] * 1e3), 12.5, m['color']) # 不可检区域(阈值左侧) for m in (PT, PH): rect(BX0, BYT, bx(m['thr'] * 100) - BX0, BYB - BYT, fill='#bbb', stroke='none', op=0.18) txt(BX0 + 8, BYB - 12, '← 阈值以下:永远检不到(灰区)', 12.5, '#555') dT_big = iT5 and msT5; dH_big = msH5 # ================== 页脚 ================== note(30, 912, 700, 62, '公式(与 measurement-window-quantization.md §1~§4 同源)', [ 'CAPVD_n = Δf/f·[1 − (1−α/256)^n](n = 第 n 次窗更新);延迟 = 首个满足 CAPVD_n ≥ 判据 的 (n+1)·T_win', ], '#0b6') note(750, 912, 740, 62, '注', [ '未计输出级 50 ms 主节拍量化(实际继电器动作再加 ≤50 ms);两型号均为单次越线判定(无进入/离开确认)。', ], '#0b6') add('') svg = ('' '' % (W, H, W, H, W, H)) + ''.join(o) out = 'docs/img/response-compare-pd132t-pd136ha.svg' open(out, 'w', encoding='utf-8').write(svg) print('SVG:', out, len(svg), 'bytes') print('PD132T : tw=%.3f ms tau=%.1f ms(口径%.1f) 档1=%.4f%%' % (PT['tw'] * 1e3, PT['tau'] * 1e3, PT['tau_pl'] * 1e3, PT['thr'] * 100)) print('PD136HA: tw=%.3f ms tau=%.1f ms(口径%.1f) 档1=%.4f%%' % (PH['tw'] * 1e3, PH['tau'] * 1e3, PH['tau_pl'] * 1e3, PH['thr'] * 100)) print('+0.50%%: PD132T %.1f ms(第%d窗) | PD136HA %.1f ms(第%d窗)' % (msT5, iT5 + 1, msH5, iH5 + 1)) print('+0.15%%: PD132T %.1f ms(第%d窗) | PD136HA %.1f ms(第%d窗)' % (msT15, iT15 + 1, msH15, iH15 + 1)) print('+0.10%%: PD132T %.1f ms | PD136HA %.1f ms' % (delay_ms(PT, 0.001)[1] or -1, delay_ms(PH, 0.001)[1] or -1))