The first analysis

The first data with one PTGC

• up side channel 18 missing, downside channel 45 47 missing
• remove signals whose peak id locate at channel 0, 1, 2, 15, 16, 17, 18, 19, 20, 21, 42, 43, 44, 45, 46, 47 for up and down side
  • after this cut 9367 events
  • both cluster size (up and down) >1 8956 events
• red: upside, black downside for the following plot

noise

• pedestal jumping simultaniously for all channel
  • first calculate average value of all channel
  • noise of each channel is to get the RMS after subtract the average
  • pedestal of each channel is to using the mean plus the average.
  • RMS of each channel (unit is ADC point, one point 0.1fC)
    

• signal (if signal > pedestal + 3* RMS)
  • SM1(signal method 1): signal = data - pedestal
  • SM2(signal method 2): signal = data - pedestal - 3*RMS

Data

• peak, second peak, third peak positon (strip number), down: remove bad channels :
  

• cluster center, cluster size, cluster number each event, down: after remove bad channels:
  

• peak, second peak, third peak value (x=1000 mean 100fC) , down: remove bad channels.
  • Downside signal is smaller, wire to cathode is 1.5mm, upside 1.4mm
    

position resolution:

• left SM1: signal = data - pedestal
• right SM2: signal = data - pedestal - 3*RMS
• if ask peak value>105, resolution improve 5 micro.

• reason of the 2 pump round the main peak:
  • left original singal
  • middle SM1
  • right SM2
    

• SM1
  • left: ask cluster size of upside = downside:
  • middle: cluster size of upside = downside
  • right: peak value of events in left plot, black of events in middle plot
    

Use gaus fit to fit the cluster signals

• Other than charge gravity methods, this methods doesn't introduce much bias measurement
• Signal is obtained by minus only pedestal
• Fit the following hist with gaus from -0.1 to 0.1
  

sigal and noise re-analysis:

1，f(0-95), s(0-95) 共192�， IsChNumberRepeated表示该事例存在信������的次数，原始数�为所有记录的数�去掉����次数多于1次的事例�。（S0和f0分布比其他的信��宽）

pdf：

2，噪音分�，

• 没有信å�·çš„时候：
  • 第j个事例第i个信å�·é�“的测é‡�值
  • 48个信å�·é�“çš„å¹³å�‡å€¼ 1/48 * Σ(m_i) = 1/48*ΣP_i + 1/48*ΣN_i + 1/48*ΣΔ_i
  • = P + n_j + Δ_i n<N(if no big noisy channel)
  • M_i = m_i - 1/48 * Σ(m_i) = P_i + N_i + Δ_i - ( P + n_j + Δ_i )
  • = (P_i - P) + (N_i - n_j) if (N_i > 3 n_j) N_i - n_j ≈N_i
  • = (P_i - P) + N_i

• • distribuion of M_i centers at (P_i - P), σ = N_i
  • If there is no signal: S_i = M_i - (P_i - P) = N_i

• 有信å�·çš„时候(evtnumber: j)：
  • 第j个事例第i个信å�·é�“的测é‡�值 m_i = P_i (pedestal) + N_i (noise) + Δ_i (disturbence)
  • 48个信å�·é�“çš„å¹³å�‡å€¼ 1/48 * Σ(m_i) = 1/48*ΣP_i + 1/48*ΣN_i + 1/48*ΣΔ_i + 1/48*S_j
  • = P + n_j + Δ_i + 1/48*S_j n<N(if no big noisy channel)
  • M_i = m_i - 1/48 * Σ(m_i) = P_i + N_i + Δ_i - ( P + n_j + Δ_i +1/48*S_j)
  • = (P_i - P) + (N_i - n_j) - 1/48*S_j if (N_i > 3 n_j) N_i - n_j ≈N_i
  • = (P_i - P) + N_i - 1/48*S_j

• • distribuion of M_i centers at (P_i - P - Avr(1/48*S_j) ), σ = σ(N_i - 1/48*S_j)
  • if there is signal, S_i = M_i - (P_i - P - Avr(1/48*S_j) ) = S + Gaus(N_i - 1/48*S_j)

• 去除信å�·æ–¹æ³•ï¼š
  • æ¯�个事例：分为4组：f（0-47），f（48-95），s（0-47），s（48-95）分别对应一个å‰�放电路æ�¿ï¼Œæ¯�组48个数æ�®æ±‚å¹³å�‡1/48 * Σ(m_i)，从测é‡�æ•°æ�®ä¸­æ‰£é™¤:m_i - 1/48 * Σ(m_i)。
  • 对æ¯�é�“求RMS:σ(N_i - 1/48*S_j) å¹³å�‡å€¼Average:(P_i - P - Avr(1/48*S_j) ) 。
  • 判断信å�·ï¼šå¦‚果测é‡�值m_i > ( (P_i - P - Avr(1/48*S_j) ) + σ(N_i - 1/48*S_j) ) 为信å�·ï¼Œå�¦åˆ™ä¸ºå™ªéŸ³
  • 将判定为信å�·çš„é�“设为0，然å�Žå‰”除
  • 剔除信å�·å�Žï¼Œå™ªéŸ³æŒ‰ç…§ä¸Šè¿°æ­¥éª¤é‡�新计算得到没有信å�·å½±å“�çš„P_i - P å’Œæ¯�个信å�·é�“的噪音 σ(N_i )

• å…±192é�“：n1u(0-47), n1d(0-47), n2(0-47）n3（0-47） 其中n1d_0分布较宽，n2_0分布较宽，且有等间è·�的几个峰结构。 n1d_0å’Œn2_0是å�¦å¯¹åº”上é�¢çš„f0，s0？

• 去掉信å�·ä¹‹å�Žçš„噪音二维图（噪音强度m_i v.s eventnumber）， project to eventnumber给出基值P_i值éš�ç�€æ—¶é—´çš„å�˜åŒ–趋势
• 去掉扰动以å�Žçš„噪音二维散点图（æ¯�一é�“实际噪音分布）

3 ，pdf， 图一： 噪音signa vs channelnumber， 图二： 噪音平�值，vs channnel number

4， pdf：X2measure - X2 calculate （ �个信��的测�值=信�-pedestal if 信�-pedestal > 3 signa )
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