An Effective Distributed Arithmetic (DA) VLSI Architecture for Finite Impulse Response Based on Approximation Look Up Tables

Abstract

This paper presents an efficient VLSI architecture designed for Finite Impulse Response (FIR) filters, leveraging the advantages of Distributed Arithmetic (DA) in combination with an approximation-based Look-Up Table (LUT) method. The architecture fundamentally reimagines the traditional multiply-accumulate operations by transforming them into a series of LUT lookups and simple additions, thereby significantly reducing the need for multipliers, which are typically resource-intensive in hardware implementations.

To further enhance performance and resource efficiency, the proposed design introduces several approximation techniques. Key among these is the reduction of LUT size through the exploitation of symmetry, which allows for significant memory savings. Additional methods such as truncation, rounding, and segmentation are also employed, ensuring that the architecture remains both efficient and precise, even with reduced computational resources.

Parallelism and pipelining are integral components of the architecture, implemented to boost throughput and increase clock speeds. By incorporating these techniques, the design not only achieves higher performance levels but also manages to maintain low hardware complexity, which is crucial for VLSI implementations where space and power are often limited.

The FIR filter implementation within this architecture benefits from optimized data handling strategies, including the use of shift registers for efficient data movement. The design also features efficient coefficient storage mechanisms, which contribute to minimizing the area

requirements of the system. Additionally, resource sharing techniques are applied to further reduce power consumption, making the architecture highly suitable for energy-constrained applications.

A comprehensive analysis of key performance metrics—including throughput, latency, area, power consumption, and accuracy—is conducted to validate the efficacy of the proposed architecture. The results demonstrate that the design offers a strong balance between high performance and resource efficiency, ensuring that it meets the demands of modern digital signal processing applications.

In conclusion, this work provides a robust and scalable solution for FIR filter implementation in VLSI systems, offering significant advantages in terms of efficiency and accuracy. Its adaptability makes it particularly well-suited for a wide range of digital signal processing applications, especially in environments where resource constraints and high performance are critical