Real time linearization of sensor response using a novel polynomial estimation method A new scheme for linearization of sensor response in real time by polynomial estimation method was invented. This results in fast and accurate linearization, a longstanding need of instrumentation designers and the process industry. A novel operator xe2x80x9cImplied Division by Truncationxe2x80x9d which works with the powering operation was conceptualized to replace division operation. This was done by converting the exponent of the coefficient to binary and partitioning it into truncation factors adopted to the processor architecture. Division by these factors was then a matter of Shift Right operation. Resulting remainder of u003c2 was handled by defining another operator, xe2x80x9cMultiply by xe2x80x98nxe2x80x99 and divide by a power of 2xe2x80x9d which tuned the coefficient precisely. The Algorithm was tested on an 8051processor with 12 MHz clock. Each data sample was processed in less than 1.0 millisecond with absolute accuracy better than 0.1%. Results of Ttype thermocouple data for a temperature range 0 to  400 xc2xb0C, using a 4th order polynomial giving an accuracy of 0.3 xc2xb0C, are presented.

Twodimensional recursive least squares identification based on local polynomial modeling for batch processes Abstract   In this paper, a twodimensional recursive least squares identification method based on local polynomial modeling for batch processes is proposed. Using local polynomial modeling method to parameterize the timevarying characteristics of batch processes, a twodimensional cost function along both time and batch directions is minimized to design the recursive least squares identification algorithm. Because this proposed method employs local polynomial modeling and utilizes twodimensional data information to estimate model parameters, it can effectively improve the estimation accuracy and accelerate the convergence rate. Furthermore, the convergence property of the proposed method is analyzed. Finally, the simulation results show the superiority of the proposed method.