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基于LABVIEW的PCM编译码系统仿

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2024年6月5日发(作者:墨紫琼)

第28卷第11期 

吉 林 化 工 学 院 学 报 

JOURNAL OF JILIN INSTITUTE OF CHEMICAL TECHNOLOGY 

Vn1.28 No.11 

NOV. 2011 

2011年11月 

文章编号:1007—2853(2011)11-0079-05 

基于LABVI EW的PCM编译码系统仿 

郝富春 ,郝翊杰 ,程立敏 

(1.吉林化工学院信息与控制工程学院,吉林吉林132022;2.沈阳天字工贸有限公司,辽宁沈阳110000) 

摘要:脉冲编码调制(pulse code modulation,PCM)是最基本和最常用的模拟信号数字化方法.由于抗干 

扰能力强,被广泛应用于数字通信领域.本文在介绍了PCM编码原理基础上,以LabVIEW软件为平台 

对PCM编译码的方法和过程仿真.仿真软件可实现多种信号类型的PCM编译码实现,为人们理解PCM 

编译码提供了简单、直观方法. 

关键词:PCM;LabVIEW;仿真 

文献标志码:A 中图分类号:TN991.21 

随着电子技术和计算机技术的发展,仿真技 

术得到的广泛应用.美国国家仪器(NI)公司推出 

的LabVIEW语言是一种优秀的面向对象的图形 

种在整个动态范围内量化问隔不相等的量化. 

使大信号用大的量化间隔,小信号用小的量化间 

隔,从而使系统的总体量化信噪比达到要求 . 

采样:对连续模拟信号进行周期性的抽样,把 

时间连续的信号变成时间上离散的信号.在正常 

语音频率300—3 400 Hz内,采用8k抽样速率以 

满足抽样定理. 

化编程语言,使用图标代替文本代码创建应用程 

序,拥有大量与其他应用程序通信的vi库. 

LabVIEW作为目前国际上应用最广的数据采集和 

控制开发环境之一…,在测试与测量、数据采集、 

仪器控制、数字信号分析、通信仿真等领域获得了 

广泛的应用.PCM是一种用一组二进制数字代码 

来代替连续信号的抽样值,从而实现数字通信的 

方式.由于这种通信方式抗干扰能力强,被广泛用 

量化:将取值范围[一5,+5]的抽样值量化 

为[一204 8,+2048]量化电平. 

编码:在l3折线编码中,普遍采用8位二进 

制码,按折叠二进制码的码型,8位码的安排如 

下: 

于电话通信中的语音传递和利用无线电传输的遥 

测系统等.用LabVIEW仿真PCM编译码过程,可 

直观地观察其抽样、量化和编译码方法,加深对 

PCM的理解.用仿真软件可于课堂教学和实验教 

学中. 

极性码

C1 

段落码 段内码 

C2C3C4 C5C6C7C8 

采用非均匀量化级,段落起点电平、量化间隔 

和段落码 J,如表1所示. 

1 PCM编码原理 

我国采用A律13折线非均匀量化编码,是 

表1 段落起点电平、量化间隔和段落码(以△=1/2048为量化单位) 

收稿日期:2011-09.18 

作者简介:郝富春(1961.),男,吉林省吉林市人,吉林化工学院副教授,主要从事电信方面的研究 

80 吉林化工学院学报 2011正 

每一段内均匀分为16个量化间隔,因段落长 

度不同,故不同段落间的量化间隔是非均匀.段落 

例如对+618/k进行编码.+618>0,C1=1 

内码表见表2. 

512<618<1024在第7段,c2C3C4=110,起 

始电平512,量化间隔32. 

表2段落内码表 

618—512=32 3+l0是第三个量化级, 

C5c6c7C8=0011 

+638△对应的PCMA律l3折线编码 

c1c2c3C4C5()6c7C8=11100011,编码误差为10 

量化单位. 

2 PCM编译码系统仿真 

总体构成图 如图1所示. 

圆一固一团一圃一圆一圃一圃一圆 

图1 PCM编译码总体构成图 

2.1信源及抽样 2.2量化及反量化 

由基本函数发生器可产生正弦波、三角波、矩 

量化.vi子程序、反量化vi子程序的后面板 

齿波和方波信号,通过前面板参数设置产生不同 

见图3(a)~(b)所示.量化.vi实现抽样值的量 

频率、不同幅度、不同采样点数的抽样信号. 化.将[一5,+5]之间的输入抽样值量化为以△ 

1/2048为量化单位,在[一2048,+2048]之间 

的量化电平的量化值.反量化.vi是将[一2048, 

+2048]之间的量化电平值变成[一5,+5]之间 

的数值.并且将其放在f0r循环中由采样点数控制 

量化次数.对应的量化值见图4. 

(a)前面板 

i ̄t rt;t 

(a)量化后面板 

I 

(to/

l 

 l

4096) 

: l 

(b)反量化后面板 

(b)后面板 

图3量化及反量化后面板 

图2信源及抽样构成图 

图4量化输出值 

第11期 郝富春,等:基于LABVIEW的PCM编译码系统仿 

2.3 PCM编码 

段落码.在128.vi中进一步判断量化值是0—16 

按逐次比较法实现量化电平的A律13折线 

之间,或16~32之间,或32~64之间,或64—128 

编码.PCM编码的后面板,如图5所示.图中与0 

之间,进而输出相应的段落码.段内码由While循 

比较判别真假部分决定极性码的数值,大于0,C1 

环功能确定.首先输入量化值与量化电平数组比 

=1,小于0,C1=0.段落码c2c3c4的编码是逐 较确定相应的位置,进而用索引数组输出相应的 

个和规定的标准电平比较产生.首先与128比较, 

段内码.量化电平数组取值“0~2048”中128个 

若为真,条件循环执行456.vi子程序,若为假,执 

量化级一维数组,段内码数组是从“0000・1 1 1 1”其 

行128.vi子程序.在456.vi中进一步判断量化值 

16 16=128行的二维数组.最后用插人数组和 

是128~256之间,或256~512之间,或512~ 

创建数组控件产生PCM编码 J. 

1024之间,或1024~2048之间进而输出相应的 

图5 PCM编码后面板 

2.4 PCM译码 

电平;s表示段内量化级;z表示第Y段内的量化 

PCM译码.vi子程序,如图6所示.功能是输 间隔; 表示译码时附加的量化电平,以减少量化 

入PCM码,输出该码对应的量化电平.程序采用 

误差;b表示输出量化电平;in[0]一in 分别表示 

公式节点,其中的字母含义: 表示极性,取值为 

8位PCM码C1C2C3C4C5C6C7C8. 

+1或一1;y表示第Y段落; 表示第Y段的段起点 

int b. :iIlt x=O y=O z:0 t=O 

if【in【0】管=0) 躲 

蒙1

if(i

●x上=,+;● 

n【l】 =1)

 

 

《黪

戤 

 

—Iif(

r}4: 豁 

y+2:

in【2】:嚣1)

 

 髅 

黪 

if(inc3】:=1) 懿 

: 

sw

itch

) 

Ⅲt:: :“:1 1 t=l 18;z葛:zm l: ;w咄=o:O ; brr。々 :

l 

 .  》 黔 

eII-2: 32:z=2:w 1:br・‘k: 

::eⅢ4::: 3墨=1t= 8:514。2 ;z:= z4=8;;w; 譬4:-一2;b:  r・- ̄,ek:: 躐 

c・jt 5:t=2s8:==l6:w=8:brt・k: 

:e:・:#:;・T: 甚 t= t:10 2i:耋:t=6i4;::w :32:b:r:・ ;・k; 《 黔 

} 

if【in[4】==1) 

《= +8: 黪 

if(i“[5】==1) 

if[in[8】==1) 

, t+

 1

: 黪 

i 

f ==

1 

) 戳 

b:x (t+ z)+ ; 

・1#・ 

b= 丰(t+ 幸t) _: 黔 

图6 PCM译码后面板 

第1l期 郝富春,等:基于LABVIEW的PCM编译码系统仿 83 

程.并能够对不同频率、不同幅值和不同信号类型 

[2] 樊昌信,曹丽娜.通信原理[M].6版.北京:国防工 

的编译码,用在教学和实验中,加深了学生的理 

业出版社,201 1(12):274—277. 

解,收到了良好的效果. 

[3] 沈振元,聂志泉,赵雪荷.通信系统原理[M].西安: 

西安电子科技大学出版社,2002. 

参考文献 

[4]苗长云,沈保锁.现代通信原理及应用[M].北京: 

电子工业出版社,2005. 

[5] 李环,任波,华宇宁.通信系统仿真设计与应用[M]. 

[1] NATIONAL INSTRUMENTS.LabVIEW入门[M] 

北京:电子工业出版社,2009. 

USA:National instruments corporation,2006 

Simulation of the PCM coding/decoding system based on LabVIEW 

HAO Fu.chun ,HAO Yun-jie ,CHEN G Li-min’ 

(1.College of Information&Control Engineering,Jilin Institute of Chemical Technology,Jilin City 132022,Chilla;2.Shenyang 

Tianyu Theehnoloyg Trode limited Company,Shenyang 1 10000,China) 

Abstract:The Pulse Code Modulation(PCM),which is one of the most fundamental and commonly—used cod— 

ing system,has been widely applied to digital communications because of its strong anti—jamming capability. 

This paper introduces the principles of PCM coding,develops user—friendly PCM coding simulation software 

based on LabVIEW.This simulation software can achieve the PCM coding/decoding of various types of signals, 

provides a simple and intuitive way for people to understand the PCM coding/decoding system 

Key words:PCM;LabVIEW;Simulation 

2024年6月5日发(作者:墨紫琼)

第28卷第11期 

吉 林 化 工 学 院 学 报 

JOURNAL OF JILIN INSTITUTE OF CHEMICAL TECHNOLOGY 

Vn1.28 No.11 

NOV. 2011 

2011年11月 

文章编号:1007—2853(2011)11-0079-05 

基于LABVI EW的PCM编译码系统仿 

郝富春 ,郝翊杰 ,程立敏 

(1.吉林化工学院信息与控制工程学院,吉林吉林132022;2.沈阳天字工贸有限公司,辽宁沈阳110000) 

摘要:脉冲编码调制(pulse code modulation,PCM)是最基本和最常用的模拟信号数字化方法.由于抗干 

扰能力强,被广泛应用于数字通信领域.本文在介绍了PCM编码原理基础上,以LabVIEW软件为平台 

对PCM编译码的方法和过程仿真.仿真软件可实现多种信号类型的PCM编译码实现,为人们理解PCM 

编译码提供了简单、直观方法. 

关键词:PCM;LabVIEW;仿真 

文献标志码:A 中图分类号:TN991.21 

随着电子技术和计算机技术的发展,仿真技 

术得到的广泛应用.美国国家仪器(NI)公司推出 

的LabVIEW语言是一种优秀的面向对象的图形 

种在整个动态范围内量化问隔不相等的量化. 

使大信号用大的量化间隔,小信号用小的量化间 

隔,从而使系统的总体量化信噪比达到要求 . 

采样:对连续模拟信号进行周期性的抽样,把 

时间连续的信号变成时间上离散的信号.在正常 

语音频率300—3 400 Hz内,采用8k抽样速率以 

满足抽样定理. 

化编程语言,使用图标代替文本代码创建应用程 

序,拥有大量与其他应用程序通信的vi库. 

LabVIEW作为目前国际上应用最广的数据采集和 

控制开发环境之一…,在测试与测量、数据采集、 

仪器控制、数字信号分析、通信仿真等领域获得了 

广泛的应用.PCM是一种用一组二进制数字代码 

来代替连续信号的抽样值,从而实现数字通信的 

方式.由于这种通信方式抗干扰能力强,被广泛用 

量化:将取值范围[一5,+5]的抽样值量化 

为[一204 8,+2048]量化电平. 

编码:在l3折线编码中,普遍采用8位二进 

制码,按折叠二进制码的码型,8位码的安排如 

下: 

于电话通信中的语音传递和利用无线电传输的遥 

测系统等.用LabVIEW仿真PCM编译码过程,可 

直观地观察其抽样、量化和编译码方法,加深对 

PCM的理解.用仿真软件可于课堂教学和实验教 

学中. 

极性码

C1 

段落码 段内码 

C2C3C4 C5C6C7C8 

采用非均匀量化级,段落起点电平、量化间隔 

和段落码 J,如表1所示. 

1 PCM编码原理 

我国采用A律13折线非均匀量化编码,是 

表1 段落起点电平、量化间隔和段落码(以△=1/2048为量化单位) 

收稿日期:2011-09.18 

作者简介:郝富春(1961.),男,吉林省吉林市人,吉林化工学院副教授,主要从事电信方面的研究 

80 吉林化工学院学报 2011正 

每一段内均匀分为16个量化间隔,因段落长 

度不同,故不同段落间的量化间隔是非均匀.段落 

例如对+618/k进行编码.+618>0,C1=1 

内码表见表2. 

512<618<1024在第7段,c2C3C4=110,起 

始电平512,量化间隔32. 

表2段落内码表 

618—512=32 3+l0是第三个量化级, 

C5c6c7C8=0011 

+638△对应的PCMA律l3折线编码 

c1c2c3C4C5()6c7C8=11100011,编码误差为10 

量化单位. 

2 PCM编译码系统仿真 

总体构成图 如图1所示. 

圆一固一团一圃一圆一圃一圃一圆 

图1 PCM编译码总体构成图 

2.1信源及抽样 2.2量化及反量化 

由基本函数发生器可产生正弦波、三角波、矩 

量化.vi子程序、反量化vi子程序的后面板 

齿波和方波信号,通过前面板参数设置产生不同 

见图3(a)~(b)所示.量化.vi实现抽样值的量 

频率、不同幅度、不同采样点数的抽样信号. 化.将[一5,+5]之间的输入抽样值量化为以△ 

1/2048为量化单位,在[一2048,+2048]之间 

的量化电平的量化值.反量化.vi是将[一2048, 

+2048]之间的量化电平值变成[一5,+5]之间 

的数值.并且将其放在f0r循环中由采样点数控制 

量化次数.对应的量化值见图4. 

(a)前面板 

i ̄t rt;t 

(a)量化后面板 

I 

(to/

l 

 l

4096) 

: l 

(b)反量化后面板 

(b)后面板 

图3量化及反量化后面板 

图2信源及抽样构成图 

图4量化输出值 

第11期 郝富春,等:基于LABVIEW的PCM编译码系统仿 

2.3 PCM编码 

段落码.在128.vi中进一步判断量化值是0—16 

按逐次比较法实现量化电平的A律13折线 

之间,或16~32之间,或32~64之间,或64—128 

编码.PCM编码的后面板,如图5所示.图中与0 

之间,进而输出相应的段落码.段内码由While循 

比较判别真假部分决定极性码的数值,大于0,C1 

环功能确定.首先输入量化值与量化电平数组比 

=1,小于0,C1=0.段落码c2c3c4的编码是逐 较确定相应的位置,进而用索引数组输出相应的 

个和规定的标准电平比较产生.首先与128比较, 

段内码.量化电平数组取值“0~2048”中128个 

若为真,条件循环执行456.vi子程序,若为假,执 

量化级一维数组,段内码数组是从“0000・1 1 1 1”其 

行128.vi子程序.在456.vi中进一步判断量化值 

16 16=128行的二维数组.最后用插人数组和 

是128~256之间,或256~512之间,或512~ 

创建数组控件产生PCM编码 J. 

1024之间,或1024~2048之间进而输出相应的 

图5 PCM编码后面板 

2.4 PCM译码 

电平;s表示段内量化级;z表示第Y段内的量化 

PCM译码.vi子程序,如图6所示.功能是输 间隔; 表示译码时附加的量化电平,以减少量化 

入PCM码,输出该码对应的量化电平.程序采用 

误差;b表示输出量化电平;in[0]一in 分别表示 

公式节点,其中的字母含义: 表示极性,取值为 

8位PCM码C1C2C3C4C5C6C7C8. 

+1或一1;y表示第Y段落; 表示第Y段的段起点 

int b. :iIlt x=O y=O z:0 t=O 

if【in【0】管=0) 躲 

蒙1

if(i

●x上=,+;● 

n【l】 =1)

 

 

《黪

戤 

 

—Iif(

r}4: 豁 

y+2:

in【2】:嚣1)

 

 髅 

黪 

if(inc3】:=1) 懿 

: 

sw

itch

) 

Ⅲt:: :“:1 1 t=l 18;z葛:zm l: ;w咄=o:O ; brr。々 :

l 

 .  》 黔 

eII-2: 32:z=2:w 1:br・‘k: 

::eⅢ4::: 3墨=1t= 8:514。2 ;z:= z4=8;;w; 譬4:-一2;b:  r・- ̄,ek:: 躐 

c・jt 5:t=2s8:==l6:w=8:brt・k: 

:e:・:#:;・T: 甚 t= t:10 2i:耋:t=6i4;::w :32:b:r:・ ;・k; 《 黔 

} 

if【in[4】==1) 

《= +8: 黪 

if(i“[5】==1) 

if[in[8】==1) 

, t+

 1

: 黪 

i 

f ==

1 

) 戳 

b:x (t+ z)+ ; 

・1#・ 

b= 丰(t+ 幸t) _: 黔 

图6 PCM译码后面板 

第1l期 郝富春,等:基于LABVIEW的PCM编译码系统仿 83 

程.并能够对不同频率、不同幅值和不同信号类型 

[2] 樊昌信,曹丽娜.通信原理[M].6版.北京:国防工 

的编译码,用在教学和实验中,加深了学生的理 

业出版社,201 1(12):274—277. 

解,收到了良好的效果. 

[3] 沈振元,聂志泉,赵雪荷.通信系统原理[M].西安: 

西安电子科技大学出版社,2002. 

参考文献 

[4]苗长云,沈保锁.现代通信原理及应用[M].北京: 

电子工业出版社,2005. 

[5] 李环,任波,华宇宁.通信系统仿真设计与应用[M]. 

[1] NATIONAL INSTRUMENTS.LabVIEW入门[M] 

北京:电子工业出版社,2009. 

USA:National instruments corporation,2006 

Simulation of the PCM coding/decoding system based on LabVIEW 

HAO Fu.chun ,HAO Yun-jie ,CHEN G Li-min’ 

(1.College of Information&Control Engineering,Jilin Institute of Chemical Technology,Jilin City 132022,Chilla;2.Shenyang 

Tianyu Theehnoloyg Trode limited Company,Shenyang 1 10000,China) 

Abstract:The Pulse Code Modulation(PCM),which is one of the most fundamental and commonly—used cod— 

ing system,has been widely applied to digital communications because of its strong anti—jamming capability. 

This paper introduces the principles of PCM coding,develops user—friendly PCM coding simulation software 

based on LabVIEW.This simulation software can achieve the PCM coding/decoding of various types of signals, 

provides a simple and intuitive way for people to understand the PCM coding/decoding system 

Key words:PCM;LabVIEW;Simulation 

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File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 662, well_thread_format(array(27))
File: /www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm, Line: 249, well_thread_find_asc(array(20) , 20)
File: /www/wwwroot/www.usbmi.com/tmp/route_read.php, Line: 204, include(/www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm)
File: /www/wwwroot/www.usbmi.com/tmp/index.inc.php, Line: 129, include(/www/wwwroot/www.usbmi.com/tmp/route_read.php)
File: /www/wwwroot/www.usbmi.com/index.php, Line: 29, include(/www/wwwroot/www.usbmi.com/tmp/index.inc.php)
Error[2]: Trying to access array offset on value of type int, File: /www/wwwroot/www.usbmi.com/xiunophp/xiunophp.min.php, Line: 54
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 1095, humandate(1738040752)
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 662, well_thread_format(array(26))
File: /www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm, Line: 249, well_thread_find_asc(array(20) , 20)
File: /www/wwwroot/www.usbmi.com/tmp/route_read.php, Line: 204, include(/www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm)
File: /www/wwwroot/www.usbmi.com/tmp/index.inc.php, Line: 129, include(/www/wwwroot/www.usbmi.com/tmp/route_read.php)
File: /www/wwwroot/www.usbmi.com/index.php, Line: 29, include(/www/wwwroot/www.usbmi.com/tmp/index.inc.php)
Error[2]: Trying to access array offset on value of type int, File: /www/wwwroot/www.usbmi.com/xiunophp/xiunophp.min.php, Line: 54
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 1096, humandate(1738040752)
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 662, well_thread_format(array(27))
File: /www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm, Line: 249, well_thread_find_asc(array(20) , 20)
File: /www/wwwroot/www.usbmi.com/tmp/route_read.php, Line: 204, include(/www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm)
File: /www/wwwroot/www.usbmi.com/tmp/index.inc.php, Line: 129, include(/www/wwwroot/www.usbmi.com/tmp/route_read.php)
File: /www/wwwroot/www.usbmi.com/index.php, Line: 29, include(/www/wwwroot/www.usbmi.com/tmp/index.inc.php)
Error[2]: Trying to access array offset on value of type int, File: /www/wwwroot/www.usbmi.com/xiunophp/xiunophp.min.php, Line: 54
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 1095, humandate(1738067902)
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 662, well_thread_format(array(26))
File: /www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm, Line: 249, well_thread_find_asc(array(20) , 20)
File: /www/wwwroot/www.usbmi.com/tmp/route_read.php, Line: 204, include(/www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm)
File: /www/wwwroot/www.usbmi.com/tmp/index.inc.php, Line: 129, include(/www/wwwroot/www.usbmi.com/tmp/route_read.php)
File: /www/wwwroot/www.usbmi.com/index.php, Line: 29, include(/www/wwwroot/www.usbmi.com/tmp/index.inc.php)
Error[2]: Trying to access array offset on value of type int, File: /www/wwwroot/www.usbmi.com/xiunophp/xiunophp.min.php, Line: 54
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 1096, humandate(1738067902)
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 662, well_thread_format(array(27))
File: /www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm, Line: 249, well_thread_find_asc(array(20) , 20)
File: /www/wwwroot/www.usbmi.com/tmp/route_read.php, Line: 204, include(/www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm)
File: /www/wwwroot/www.usbmi.com/tmp/index.inc.php, Line: 129, include(/www/wwwroot/www.usbmi.com/tmp/route_read.php)
File: /www/wwwroot/www.usbmi.com/index.php, Line: 29, include(/www/wwwroot/www.usbmi.com/tmp/index.inc.php)
Error[2]: Trying to access array offset on value of type int, File: /www/wwwroot/www.usbmi.com/xiunophp/xiunophp.min.php, Line: 54
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 1095, humandate(1738260069)
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 662, well_thread_format(array(26))
File: /www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm, Line: 249, well_thread_find_asc(array(20) , 20)
File: /www/wwwroot/www.usbmi.com/tmp/route_read.php, Line: 204, include(/www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm)
File: /www/wwwroot/www.usbmi.com/tmp/index.inc.php, Line: 129, include(/www/wwwroot/www.usbmi.com/tmp/route_read.php)
File: /www/wwwroot/www.usbmi.com/index.php, Line: 29, include(/www/wwwroot/www.usbmi.com/tmp/index.inc.php)
Error[2]: Trying to access array offset on value of type int, File: /www/wwwroot/www.usbmi.com/xiunophp/xiunophp.min.php, Line: 54
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 1096, humandate(1738260069)
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 662, well_thread_format(array(27))
File: /www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm, Line: 249, well_thread_find_asc(array(20) , 20)
File: /www/wwwroot/www.usbmi.com/tmp/route_read.php, Line: 204, include(/www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm)
File: /www/wwwroot/www.usbmi.com/tmp/index.inc.php, Line: 129, include(/www/wwwroot/www.usbmi.com/tmp/route_read.php)
File: /www/wwwroot/www.usbmi.com/index.php, Line: 29, include(/www/wwwroot/www.usbmi.com/tmp/index.inc.php)
Error[2]: Trying to access array offset on value of type int, File: /www/wwwroot/www.usbmi.com/xiunophp/xiunophp.min.php, Line: 54
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 1095, humandate(1738376471)
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 662, well_thread_format(array(26))
File: /www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm, Line: 249, well_thread_find_asc(array(20) , 20)
File: /www/wwwroot/www.usbmi.com/tmp/route_read.php, Line: 204, include(/www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm)
File: /www/wwwroot/www.usbmi.com/tmp/index.inc.php, Line: 129, include(/www/wwwroot/www.usbmi.com/tmp/route_read.php)
File: /www/wwwroot/www.usbmi.com/index.php, Line: 29, include(/www/wwwroot/www.usbmi.com/tmp/index.inc.php)
Error[2]: Trying to access array offset on value of type int, File: /www/wwwroot/www.usbmi.com/xiunophp/xiunophp.min.php, Line: 54
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 1096, humandate(1738376471)
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 662, well_thread_format(array(27))
File: /www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm, Line: 249, well_thread_find_asc(array(20) , 20)
File: /www/wwwroot/www.usbmi.com/tmp/route_read.php, Line: 204, include(/www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm)
File: /www/wwwroot/www.usbmi.com/tmp/index.inc.php, Line: 129, include(/www/wwwroot/www.usbmi.com/tmp/route_read.php)
File: /www/wwwroot/www.usbmi.com/index.php, Line: 29, include(/www/wwwroot/www.usbmi.com/tmp/index.inc.php)
Error[2]: Trying to access array offset on value of type int, File: /www/wwwroot/www.usbmi.com/xiunophp/xiunophp.min.php, Line: 54
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 1095, humandate(1740277282)
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 662, well_thread_format(array(26))
File: /www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm, Line: 249, well_thread_find_asc(array(20) , 20)
File: /www/wwwroot/www.usbmi.com/tmp/route_read.php, Line: 204, include(/www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm)
File: /www/wwwroot/www.usbmi.com/tmp/index.inc.php, Line: 129, include(/www/wwwroot/www.usbmi.com/tmp/route_read.php)
File: /www/wwwroot/www.usbmi.com/index.php, Line: 29, include(/www/wwwroot/www.usbmi.com/tmp/index.inc.php)
Error[2]: Trying to access array offset on value of type int, File: /www/wwwroot/www.usbmi.com/xiunophp/xiunophp.min.php, Line: 54
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 1096, humandate(1740277282)
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 662, well_thread_format(array(27))
File: /www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm, Line: 249, well_thread_find_asc(array(20) , 20)
File: /www/wwwroot/www.usbmi.com/tmp/route_read.php, Line: 204, include(/www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm)
File: /www/wwwroot/www.usbmi.com/tmp/index.inc.php, Line: 129, include(/www/wwwroot/www.usbmi.com/tmp/route_read.php)
File: /www/wwwroot/www.usbmi.com/index.php, Line: 29, include(/www/wwwroot/www.usbmi.com/tmp/index.inc.php)
Error[2]: Trying to access array offset on value of type int, File: /www/wwwroot/www.usbmi.com/xiunophp/xiunophp.min.php, Line: 54
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 1095, humandate(1741147359)
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 662, well_thread_format(array(26))
File: /www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm, Line: 249, well_thread_find_asc(array(20) , 20)
File: /www/wwwroot/www.usbmi.com/tmp/route_read.php, Line: 204, include(/www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm)
File: /www/wwwroot/www.usbmi.com/tmp/index.inc.php, Line: 129, include(/www/wwwroot/www.usbmi.com/tmp/route_read.php)
File: /www/wwwroot/www.usbmi.com/index.php, Line: 29, include(/www/wwwroot/www.usbmi.com/tmp/index.inc.php)
Error[2]: Trying to access array offset on value of type int, File: /www/wwwroot/www.usbmi.com/xiunophp/xiunophp.min.php, Line: 54
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 1096, humandate(1741147359)
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 662, well_thread_format(array(27))
File: /www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm, Line: 249, well_thread_find_asc(array(20) , 20)
File: /www/wwwroot/www.usbmi.com/tmp/route_read.php, Line: 204, include(/www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm)
File: /www/wwwroot/www.usbmi.com/tmp/index.inc.php, Line: 129, include(/www/wwwroot/www.usbmi.com/tmp/route_read.php)
File: /www/wwwroot/www.usbmi.com/index.php, Line: 29, include(/www/wwwroot/www.usbmi.com/tmp/index.inc.php)
Error[2]: Trying to access array offset on value of type int, File: /www/wwwroot/www.usbmi.com/xiunophp/xiunophp.min.php, Line: 54
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 1095, humandate(1741179002)
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 662, well_thread_format(array(26))
File: /www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm, Line: 249, well_thread_find_asc(array(20) , 20)
File: /www/wwwroot/www.usbmi.com/tmp/route_read.php, Line: 204, include(/www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm)
File: /www/wwwroot/www.usbmi.com/tmp/index.inc.php, Line: 129, include(/www/wwwroot/www.usbmi.com/tmp/route_read.php)
File: /www/wwwroot/www.usbmi.com/index.php, Line: 29, include(/www/wwwroot/www.usbmi.com/tmp/index.inc.php)
Error[2]: Trying to access array offset on value of type int, File: /www/wwwroot/www.usbmi.com/xiunophp/xiunophp.min.php, Line: 54
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 1096, humandate(1741179002)
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 662, well_thread_format(array(27))
File: /www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm, Line: 249, well_thread_find_asc(array(20) , 20)
File: /www/wwwroot/www.usbmi.com/tmp/route_read.php, Line: 204, include(/www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm)
File: /www/wwwroot/www.usbmi.com/tmp/index.inc.php, Line: 129, include(/www/wwwroot/www.usbmi.com/tmp/route_read.php)
File: /www/wwwroot/www.usbmi.com/index.php, Line: 29, include(/www/wwwroot/www.usbmi.com/tmp/index.inc.php)
Error[2]: Trying to access array offset on value of type int, File: /www/wwwroot/www.usbmi.com/xiunophp/xiunophp.min.php, Line: 54
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 1095, humandate(1742181288)
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 662, well_thread_format(array(26))
File: /www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm, Line: 249, well_thread_find_asc(array(20) , 20)
File: /www/wwwroot/www.usbmi.com/tmp/route_read.php, Line: 204, include(/www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm)
File: /www/wwwroot/www.usbmi.com/tmp/index.inc.php, Line: 129, include(/www/wwwroot/www.usbmi.com/tmp/route_read.php)
File: /www/wwwroot/www.usbmi.com/index.php, Line: 29, include(/www/wwwroot/www.usbmi.com/tmp/index.inc.php)
Error[2]: Trying to access array offset on value of type int, File: /www/wwwroot/www.usbmi.com/xiunophp/xiunophp.min.php, Line: 54
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 1096, humandate(1742181288)
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 662, well_thread_format(array(27))
File: /www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm, Line: 249, well_thread_find_asc(array(20) , 20)
File: /www/wwwroot/www.usbmi.com/tmp/route_read.php, Line: 204, include(/www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm)
File: /www/wwwroot/www.usbmi.com/tmp/index.inc.php, Line: 129, include(/www/wwwroot/www.usbmi.com/tmp/route_read.php)
File: /www/wwwroot/www.usbmi.com/index.php, Line: 29, include(/www/wwwroot/www.usbmi.com/tmp/index.inc.php)
Error[2]: Trying to access array offset on value of type int, File: /www/wwwroot/www.usbmi.com/xiunophp/xiunophp.min.php, Line: 54
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 1095, humandate(1742327778)
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 662, well_thread_format(array(26))
File: /www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm, Line: 249, well_thread_find_asc(array(20) , 20)
File: /www/wwwroot/www.usbmi.com/tmp/route_read.php, Line: 204, include(/www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm)
File: /www/wwwroot/www.usbmi.com/tmp/index.inc.php, Line: 129, include(/www/wwwroot/www.usbmi.com/tmp/route_read.php)
File: /www/wwwroot/www.usbmi.com/index.php, Line: 29, include(/www/wwwroot/www.usbmi.com/tmp/index.inc.php)
Error[2]: Trying to access array offset on value of type int, File: /www/wwwroot/www.usbmi.com/xiunophp/xiunophp.min.php, Line: 54
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 1096, humandate(1742327778)
File: /www/wwwroot/www.usbmi.com/tmp/model_thread.func.php, Line: 662, well_thread_format(array(27))
File: /www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm, Line: 249, well_thread_find_asc(array(20) , 20)
File: /www/wwwroot/www.usbmi.com/tmp/route_read.php, Line: 204, include(/www/wwwroot/www.usbmi.com/tmp/view_template_d8_htm_read.htm)
File: /www/wwwroot/www.usbmi.com/tmp/index.inc.php, Line: 129, include(/www/wwwroot/www.usbmi.com/tmp/route_read.php)
File: /www/wwwroot/www.usbmi.com/index.php, Line: 29, include(/www/wwwroot/www.usbmi.com/tmp/index.inc.php)
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