如何检查CRC16的有效性

我正在第一次从传感器接收二进制数据。数据是base64编码的，我应该解码数据并验证它，然后将其保存到数据库中。验证过程的第一步是检查CRC-16的有效性。

我收到的每个有效载荷都带有一个CRC代码，我具有应该计算CRC-16代码本身的功能，我只想知道是否足以通过将解码后的数据传递给CRC-16计算功能来进行检查然后比较结果为零？如果非零，则数据已损坏。

如果一切顺利，我需要解压缩二进制数据并循环遍历结果，以获取传感器的数据（例如和），battery并air_temperature根据特定的偏移量信息（根据制造商的文档）。然后像往常一样将数据保存到数据库。

问题是：将crc16Calc函数应用于有效数据集时会得到非零值。

难道是因为CRC是添加到数据字符串的开头而不是结尾吗？我的意思是有效载荷的结构是<CRC code><Original code>，而不是相反！

我的代码是：

public static $crc16_tbl = [
    0x0000, 0xC0C1, 0xC181, 0x0140, 0xC301, 0x03C0, 0x0280, 0xC241,
    0xC601, 0x06C0, 0x0780, 0xC741, 0x0500, 0xC5C1, 0xC481, 0x0440,
    0xCC01, 0x0CC0, 0x0D80, 0xCD41, 0x0F00, 0xCFC1, 0xCE81, 0x0E40,
    0x0A00, 0xCAC1, 0xCB81, 0x0B40, 0xC901, 0x09C0, 0x0880, 0xC841,
    0xD801, 0x18C0, 0x1980, 0xD941, 0x1B00, 0xDBC1, 0xDA81, 0x1A40,
    0x1E00, 0xDEC1, 0xDF81, 0x1F40, 0xDD01, 0x1DC0, 0x1C80, 0xDC41,
    0x1400, 0xD4C1, 0xD581, 0x1540, 0xD701, 0x17C0, 0x1680, 0xD641,
    0xD201, 0x12C0, 0x1380, 0xD341, 0x1100, 0xD1C1, 0xD081, 0x1040,
    0xF001, 0x30C0, 0x3180, 0xF141, 0x3300, 0xF3C1, 0xF281, 0x3240,
    0x3600, 0xF6C1, 0xF781, 0x3740, 0xF501, 0x35C0, 0x3480, 0xF441,
    0x3C00, 0xFCC1, 0xFD81, 0x3D40, 0xFF01, 0x3FC0, 0x3E80, 0xFE41,
    0xFA01, 0x3AC0, 0x3B80, 0xFB41, 0x3900, 0xF9C1, 0xF881, 0x3840,
    0x2800, 0xE8C1, 0xE981, 0x2940, 0xEB01, 0x2BC0, 0x2A80, 0xEA41,
    0xEE01, 0x2EC0, 0x2F80, 0xEF41, 0x2D00, 0xEDC1, 0xEC81, 0x2C40,
    0xE401, 0x24C0, 0x2580, 0xE541, 0x2700, 0xE7C1, 0xE681, 0x2640,
    0x2200, 0xE2C1, 0xE381, 0x2340, 0xE101, 0x21C0, 0x2080, 0xE041,
    0xA001, 0x60C0, 0x6180, 0xA141, 0x6300, 0xA3C1, 0xA281, 0x6240,
    0x6600, 0xA6C1, 0xA781, 0x6740, 0xA501, 0x65C0, 0x6480, 0xA441,
    0x6C00, 0xACC1, 0xAD81, 0x6D40, 0xAF01, 0x6FC0, 0x6E80, 0xAE41,
    0xAA01, 0x6AC0, 0x6B80, 0xAB41, 0x6900, 0xA9C1, 0xA881, 0x6840,
    0x7800, 0xB8C1, 0xB981, 0x7940, 0xBB01, 0x7BC0, 0x7A80, 0xBA41,
    0xBE01, 0x7EC0, 0x7F80, 0xBF41, 0x7D00, 0xBDC1, 0xBC81, 0x7C40,
    0xB401, 0x74C0, 0x7580, 0xB541, 0x7700, 0xB7C1, 0xB681, 0x7640,
    0x7200, 0xB2C1, 0xB381, 0x7340, 0xB101, 0x71C0, 0x7080, 0xB041,
    0x5000, 0x90C1, 0x9181, 0x5140, 0x9301, 0x53C0, 0x5280, 0x9241,
    0x9601, 0x56C0, 0x5780, 0x9741, 0x5500, 0x95C1, 0x9481, 0x5440,
    0x9C01, 0x5CC0, 0x5D80, 0x9D41, 0x5F00, 0x9FC1, 0x9E81, 0x5E40,
    0x5A00, 0x9AC1, 0x9B81, 0x5B40, 0x9901, 0x59C0, 0x5880, 0x9841,
    0x8801, 0x48C0, 0x4980, 0x8941, 0x4B00, 0x8BC1, 0x8A81, 0x4A40,
    0x4E00, 0x8EC1, 0x8F81, 0x4F40, 0x8D01, 0x4DC0, 0x4C80, 0x8C41,
    0x4400, 0x84C1, 0x8581, 0x4540, 0x8701, 0x47C0, 0x4680, 0x8641,
    0x8201, 0x42C0, 0x4380, 0x8341, 0x4100, 0x81C1, 0x8081, 0x4040
];


// $crc is an integer between 0 and 0xFFFF
// $dataByte is an integer between 0 and 0xFF
// The result is an integer between 0 and 0xFFFF
function addCRC($crc, $dataByte)
{
    $index = ($crc & 0xFF) ^ $dataByte;
    $crc16int = self::$crc16_tbl[$index];
    return ($crc >> 8) ^ $crc16int;
}

// $buffer is a string containing the binary data
// The result is an integer between 0 and 0xFFFF
function crc16Calc($buffer)
{
    $crc16 = 0;
    $length = strlen($buffer);
    for ($i = 0; $i < $length; $i++) {
        // Use ord() to go from a length-1 string to an integer between 0 and 0xFF
        $dataByte = ord($buffer[$i]);
        $crc16 = $this->addCRC($crc16, $dataByte);
    }
    return $crc16;
}

public function store(Request $request)
{
    // 1. Decode the data from base64 string, and check for CRC validaity. 
    $content = file($request->file('data'));
    Storage::disk('local')->put('examples.bin', '');
    $file_handler = fopen('C:\laragon\www\medium-clone\storage\app\examples.bin', 'w+');
    foreach ($content as $line) {
        $decoded_data = base64_decode($line);
        // check for CRC validaty
        print ($this->crc16Calc($decoded_data)). '<br />'; // this gives a different non-zero number eachtime
        if($this->crc16Calc($decoded_data) != 0)
            return "Invalid Data";
        //else
        fwrite($file_handler, $decoded_data);
    }
    fclose($file_handler);
}

编辑这是下面用base64编码的数据，包含20个有效负载，下面的图像说明了有效负载的结构，所有多字节二进制字段都按小端顺序排列。

otykgAFuAGUAAEwBQAMfCqMI6g3zA+UDBQR8AXEBiQEyAiQCPQKh/nb+SwBKAAA=
WVOWgAFuAGUAAEwBQAMOCgAA6g1nAVsBcAEuAi0CMgJLAUgBTgFK/kX+IgAiAAA=
g5v5gAFvAGcAAPAAQAMRCs0IxiWrA54DsgMzAycDQQObAI0ApwCFAnYCFAATAA8=
z/5qgAFvAGcAABkBQAPuCSMJLh+uAqgCtALoA+gD6APY/9j/2P+uAqgCAAAAAA8=
XoVTgAFvAGcAAPgAQAMDCr8JZiq0Aa0BvAGhAkIC3gL+ANAARAGG/7n+GgAWAAA=
SI5CgAFvAGcAAPgAQAPvCQAAWirJAMEA0AD8ALgATwHvAcEBFQKu+U/4NAAvAAU=
RxA9gAFvAGcAAA8BQAMRCrgJUCVbAkwCcgLNAoQCCQPjALIAIAGBAOD/GQAUAAA=
T+s1gAFvAGcAAPgAQAP0CQAATioEAfsADQHgAL4AIgEMAucBIgJe+bL4OAA0AAU=
H+EqgAFvAGcAAPgAQAP8CQAAQip0AXIBdgH0AswB6AOjAND/jgG0/1P9EgAAAAU=
CLUbgAFvAGcAAPgAQAMDCgAAJirIAa8B5AHoA+gD6APT/9L/0//IAa8BAAAAAA8=
3nAQgAFvAGcAAPgAQAMFCq4IHCqtAKUAswAyACoAQgBgAlQCZwKx8gfyQQBAAAA=
fDsKgAFvAGgAADEBQAMvCtYJOfgmAxsDNgM+AzADVwOKAHIAmAAZAgQCEQAPAA8=
YD4pgAFvAGgAADEBQAP2CQAAOfiCAXABlgHbA84D6APf/9D/7f9wAV4BAAAAAA8=
hCW9gAFvAGcAAOkAQAMgCjoAbh6xALEAswC9A7IDxQP7//L/BgB1AGUAAgACAA8=
HRv7gAFvAGcAAL4BQAP5CQAASBPCBbgFzAXoA+gD6APw/+//8P/CBbgFAAAAAA8=
lZPRgAFvAGcAANcAQAMqCnoJTiAoAhwCOALvAuICCAPGALEA0QCTAG4AFQAUAAA=
9AfcgAFvAGcAAE4BQAMdCgAAAMBUCEcIYwi1Aa8BuwHJAr4C1QJQA0oDjgCMAAA=
KHT7gAFuAGUAADwBQAMrCv0ItA9EADQAVADoA+gD6APK/8r/yv9DADQAAAAAAA8=
fcjsgAFvAGcAAK0BQAMdCqMJtg1OA0EDWwOHA3QDpANCACUAVwC6AqcCCgAHAA8=
LHArgAFvAGcAAJwBQAMLCsQJpBXhANAAAgHoA+gD6APO/83/zv/hANAAAAAAAA8=

我还尝试将CRC的前两个字节移到字符串的末尾，然后计算结果，得出的结果0xB9AE非零。该函数正确执行了计算，因为我将结果与在线CRC-16进行了比较计算器。

  $new_string = mb_strcut($decoded_data,2,46).mb_strcut($decoded_data,0,2);
        print $new_string;
        print 'crc1: '.$this->crc16Calc($new_string).'  ';