MATLAB Simulation of CORDIC Algorithm with Technical Implementation Details

This article presents a MATLAB simulation of the CORDIC (Coordinate Rotation Digital Computer) algorithm, originally developed during a graduation project. The CORDIC algorithm is an efficient method for computing mathematical functions including trigonometric functions (sine, cosine), hyperbolic functions, and other transcendental functions. Its primary advantage lies in performing calculations with fixed iteration counts, consistent computational precision, and predictable execution speed. Key implementation aspects covered in the MATLAB simulation include: - Iterative coordinate rotation using shift-and-add operations - Pre-computed arctangent values for rotation angles - Scaling factor compensation for magnitude preservation - Configurable precision control through iteration counts The simulation demonstrates how CORDIC eliminates the need for hardware multipliers by using simple shift and addition operations, making it ideal for FPGA and embedded system implementations. The accompanying research paper provides theoretical background on algorithm derivation, convergence analysis, and practical application scenarios in digital signal processing. Through this resource, readers will gain understanding of: - Fundamental CORDIC algorithm principles including rotation modes and vectoring modes - Step-by-step MATLAB implementation using fixed-point arithmetic - Performance comparison between CORDIC and conventional function approximations - Real-world applications in communication systems and engineering computations The MATLAB code includes modular functions for different operation modes, with detailed comments explaining each iteration stage and error compensation mechanisms. This comprehensive material serves as both an educational resource and practical implementation reference for engineers and researchers working with numerical computation systems.