Efficient Design and Implementation of Matrix Multiplication

The semiconductor industry plays a crucial role in the design and manufacture of integrated circuits (ICs) used in a wide range of electronic devices. Matrix multiplication is of significant importance in various fields and applications as it plays a fundamental role in linear algebra, solving systems of linear equations, data analysis and machine learning, computer graphics and computer vision, network theory, graph algorithms, etc. This paper gives a thorough investigation into how the Wallace tree multiplier, Vedic multiplier, and parallel prefix adders might be combined to enhance matrix multiplication performance. These techniques contribute to achieving significant speed improvements and reduced and optimized resource utilization. Firstly, Ripple Carry adders, Kogge Stone adders, and Han Carlson adders have been designed and analyzed. After that, the Wallace tree multiplier and Vedic multiplier are designed using these adders. By combining both multiplier and adder, matrix multiplication designs, analyses the performance data, and interprets the results obtained from the experiments. Using the ISE Design Suite tools in Verilog, all circuits are created and simulations are run. The XC6SLX150T are the devices used for synthesis.