How to make my own base controller publish /odom?

edit

I have no robot, so I must build one piece by piece. I use differential drivers ,each with a encoder.And each encoder can output two channels signal :A,B.

I can read channel A and B to aquire the speed and direction of a motor through Arduino device.

But how can I integrate the signal from the two encoders with the topic of /odom with the lowest level device Arduino? If this is done by Arduino ,I doubt the ability of an 8-bit processor. so is there any relevent reference about it?

i have check the detail of msg /odom:

rosmsg show nav_msgs/Odometry 
std_msgs/Header header
  uint32 seq
  time stamp
  string frame_id
string child_frame_id
geometry_msgs/PoseWithCovariance pose
  geometry_msgs/Pose pose
    geometry_msgs/Point position
      float64 x
      float64 y
      float64 z
    geometry_msgs/Quaternion orientation
      float64 x
      float64 y
      float64 z
      float64 w
  float64[36] covariance
geometry_msgs/TwistWithCovariance twist
  geometry_msgs/Twist twist
    geometry_msgs/Vector3 linear
      float64 x
      float64 y
      float64 z
    geometry_msgs/Vector3 angular
      float64 x
      float64 y
      float64 z
  float64[36] covariance

thank you very much!