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FPGA implementation of Truncated Multiplier for Array multiplication 
Introduction 
N eminence multiplier is always being a need of electronics industry for applications in DSP, 
image processing. A truncated multiplier is a p × p multiplier with p bits output. In a 
truncated multiplier the p less significant bits of the full-width product are discarded to 
compensate it some of the partial products are removed and replaced by a suit- able 
compensation function, to trade-off accuracy with hardware cost. A system’s performance is 
generally depending on the performance of the multiplier because the multiplier operation is 
time consuming which makes it slowest clement in the system. Moreover, it is generally the 
large area consuming. That's why; optimizing both the speed and area of the multiplier is a 
key design issue. Conversely, area and speed are usually conflicting constraints so that 
improving one result in affecting other. Most algorithms involve a shift and an add technique 
where the multiplicand is conditionally added to obtain the final result. Although there are 
many algorithms for accomplishing this, there is no reduction in the height of partial products 
that need to be summed to produce the final result. 
Proposed project work 
Most existing schemes target both array and tree multipliers. The design of high-speed, area-efficient 
multipliers is essential for VLSI implementations of digital signal processing 
systems. Use of truncations schemes gives significant reduction in complexities of design. 
Truncation is best suited where exact result is not always required and a rounded product is 
used for further computation 
1. The existing truncated multiple consumes more area, by exploiting the symmetry of the 
multiplexer based array multiplier, the partial product bits generated by the multiplexers in 
our truncated multiplier can be accumulated in a carry-save format to further reduce the area 
and improve the speed over other truncated array multipliers 
2. To minimize the truncation error for an unsigned integer multiplication, a new pseudo-carry 
compensated truncation (PCT) scheme consisting of an adaptive compensation circuit 
and a fixed bias is proposed 
NO: 6, 11th Main, JAYA NAGAR 4TH BLOCK, BANGALORE-560011 
9611582234, 9945657526
HARDWARE REQUIREMENTS 
 Xilinx Spartan 6 or 3 FPGA development board 
 Other peripherals 
SOFTWARE REQUIREMENTS 
 Xilinx ISE 13.2 
 Verilog HDL 
Possible outcome 
 The proposed truncated multiplier will consume less power compared to existing 
truncated multiplier 
 The truncation error efficiency will be improved 
 The proposed truncated multiplier will occupy less area compared to the existing 
truncated multiplier 
 We will also try to reduce the propagation delay. 
NO: 6, 11th Main, JAYA NAGAR 4TH BLOCK, BANGALORE-560011 
9611582234, 9945657526

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Fpga implementation of truncated multiplier for array multiplication

  • 1. FPGA implementation of Truncated Multiplier for Array multiplication Introduction N eminence multiplier is always being a need of electronics industry for applications in DSP, image processing. A truncated multiplier is a p × p multiplier with p bits output. In a truncated multiplier the p less significant bits of the full-width product are discarded to compensate it some of the partial products are removed and replaced by a suit- able compensation function, to trade-off accuracy with hardware cost. A system’s performance is generally depending on the performance of the multiplier because the multiplier operation is time consuming which makes it slowest clement in the system. Moreover, it is generally the large area consuming. That's why; optimizing both the speed and area of the multiplier is a key design issue. Conversely, area and speed are usually conflicting constraints so that improving one result in affecting other. Most algorithms involve a shift and an add technique where the multiplicand is conditionally added to obtain the final result. Although there are many algorithms for accomplishing this, there is no reduction in the height of partial products that need to be summed to produce the final result. Proposed project work Most existing schemes target both array and tree multipliers. The design of high-speed, area-efficient multipliers is essential for VLSI implementations of digital signal processing systems. Use of truncations schemes gives significant reduction in complexities of design. Truncation is best suited where exact result is not always required and a rounded product is used for further computation 1. The existing truncated multiple consumes more area, by exploiting the symmetry of the multiplexer based array multiplier, the partial product bits generated by the multiplexers in our truncated multiplier can be accumulated in a carry-save format to further reduce the area and improve the speed over other truncated array multipliers 2. To minimize the truncation error for an unsigned integer multiplication, a new pseudo-carry compensated truncation (PCT) scheme consisting of an adaptive compensation circuit and a fixed bias is proposed NO: 6, 11th Main, JAYA NAGAR 4TH BLOCK, BANGALORE-560011 9611582234, 9945657526
  • 2. HARDWARE REQUIREMENTS  Xilinx Spartan 6 or 3 FPGA development board  Other peripherals SOFTWARE REQUIREMENTS  Xilinx ISE 13.2  Verilog HDL Possible outcome  The proposed truncated multiplier will consume less power compared to existing truncated multiplier  The truncation error efficiency will be improved  The proposed truncated multiplier will occupy less area compared to the existing truncated multiplier  We will also try to reduce the propagation delay. NO: 6, 11th Main, JAYA NAGAR 4TH BLOCK, BANGALORE-560011 9611582234, 9945657526