Conventional number systems is the weighted fixed positive radix number systems, where signed number uses the sign as a symbol followed by the number part either in magnitude or r’s complement form. Addition of conventional number systems requires carry propagation (serial signal propagation) from LSD to MSD and the addition time depends on word-length, which is the main limitation of the VLSI performance.But Redundant number systems (RNS) is to allow addition of two numbers in which no serial signal propagation is required along the adder; that is, the time duration of the operation is independent of length of the operands and is the time required for the addition of two digits. This is the advantage of RNS over conventional number systems. Because of this advantage, in this thesis it proposed to design an FIR filter based on RNS. In order to implement FIR filter, it is necessary to design adder, multiplier and D-FF. For implementation, the structural blocks are to be designed such as PPM adder, MMP subtractor, D-FF, Digit-serial multiplier.In this thesis, a 368.18MHZ 3-tap FIR filter and 80MHZ Box-car FIR filter be designed based on bottom-up design flow using CADENCE 5.1.41, cadence IC design environment. The design was based on the CMOS 90nm technology process. Bottom level transistors are used from gpdk090 library. The advantages of full custom are maximum circuit performance, minimum design size, and minimum high-volume production cost.
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