  The Digital Image processing applications like medical imaging, satellite
imaging, Biometric trait images etc., rely on multipliers to improve the
quality of image. However, existing multiplication techniques introduce errors
in the output with consumption of more time, hence error free high speed
multipliers has to be designed. In this paper we propose FPGA based Recursive
Error Free Mitchell Log Multiplier (REFMLM) for image Filters. The 2x2 error
free Mitchell log multiplier is designed with zero error by introducing error
correction term is used in higher order Karastuba-Ofman Multiplier (KOM)
Architectures. The higher order KOM multipliers is decomposed into number of
lower order multipliers using radix 2 till basic multiplier block of order 2x2
which is designed by error free Mitchell log multiplier. The 8x8 REFMLM is
tested for Gaussian filter to remove noise in fingerprint image. The Multiplier
is synthesized using Spartan 3 FPGA family device XC3S1500-5fg320. It is
observed that the performance parameters such as area utilization, speed, error
and PSNR are better in the case of proposed architecture compared to existing
architectures
