Abstract: In order to improve the performance of the digital FIR evolving hardware,a new evolving algorithm is introduced.When finishing GA operation,a number of proper chromosomes are selected for the next simulated annealing process.The temperature of system is decreasing slowly with the increasing of the GA generation until the object FIR is found.Programmable SoC architecture is adopted to meet the requirements of the algorithm.Experimental results show that the digital FIR evolving hardware with the new algorithm is more powerful than GA.