Improvement of this project:
- Supports both symmetric (4×4, 8×8, 16×16, 32×32, 64×64) and asymmetric (4×2, 8×2, 16×2, 32×2, and 64×2). These Booth multiplier architectures for flexible MAC operation.
- Extends operand precision from lower bit widths up to 64-bit configurations.
- Introduces modified Radix-8 Booth multiplication for efficient equal-width multiplication.
- Provides improved flexibility in balancing hardware utilization, power consumption, and computational performance.
- Enables comparative precision-aware MAC configuration for different DSP and AI application requirements.
Proposed abstract:
Multiply-accumulate (MAC) units are widely used in digital signal processing, image processing, machine learning, neural network accelerators and other compute-intensive applications, where efficient multiplication and accumulation are important for achieving high processing performance. Fixed-point MAC architectures provide advantages such as lower hardware complexity, reduced power consumption and faster computation compared with floating-point implementations; however, limited accumulator width can introduce overflow, while excessive bit width increases area, power and hardware resource utilization. Existing overflow-driven dynamic precision scaling (ODPS) MAC architectures address this problem by dynamically scaling the accumulated data according to overflow and over-representation conditions, and the existing approach employs a Radix-4 Booth multiplier with asymmetric operand slicing to reduce implementation complexity. However, fixing one operand slice to a small width can limit the flexibility of the multiplication architecture when higher and equal operand precisions are required. To address this limitation, this work proposes the design and analysis of symmetric and asymmetric Booth multiplier architectures integrated with an ODPS MAC. The asymmetric architecture employs Radix-4 Booth multiplication with mixed operand widths of 4×2, 8×2, 16×2, 32×2 and 64×2, whereas the symmetric architecture employs modified Radix-8 Booth multiplication with equal operand widths of 4×4, 8×8, 16×16, 32×32 and 64×64. The novelty of the proposed work is the systematic integration and evaluation of these two Booth multiplication approaches within the same dynamic precision scaling MAC framework, enabling the trade-off between compact asymmetric multiplication and higher-width symmetric multiplication to be studied. The proposed architectures are developed using synthesizable Verilog HDL, functionally verified using ModelSim and synthesized on an Artix-7 FPGA using Xilinx Vivado. Performance is evaluated in terms of LUT utilization, flip-flops, I/O resources, power consumption and timing performance to identify suitable configurations for different precision, hardware-resource and performance requirements.
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Design and Analysis of Symmetric and Asymmetric Booth Multiplier Architectures for Overflow-Driven Dynamic Precision Scaling MAC
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