Now a day the finite impulse response (FIR) filters are extensively used in various digital signal processing applications. Such as digital audio, data transmission etc… there are several techniques are used to the FIR filter circuit must be capable to operate at high sample rate and must be a low power circuit are operating at moderate sample rates.To design and implement the modified booth multiplier for fast computation with less energy and area consumption.Now we proposed an high area efficient spanning tree based booth multiplier design for FIR filter.These techniques were employed to optimized the excessive area and power consumption for large multiplication using spanning tree based modified booth multiplier in FIR filter design.The design was implemented in cadence technology and its optimized the total area efficient .The spanning tree based modified booth multiplier used to consuming highly area efficient and low power for FIR filter.

Keywords : FIR Filter; Modified Booth Multiplier, Spanning Tree.