CORDICalgoritmi

CORDIC algorithms, an acronym for COordinate Rotation DIgital Computer, represent a class of efficient algorithms used for calculating trigonometric functions, hyperbolic functions, and performing vector rotations. Developed by Jack Volder in 1959, CORDIC is particularly well-suited for hardware implementation due to its reliance on simple arithmetic operations like addition, subtraction, and bit shifts. This makes it an attractive alternative to look-up tables or multipliers in digital signal processing and embedded systems.

The core principle of CORDIC is to approximate a desired rotation by a series of smaller, pre-defined rotations. These elementary rotations are chosen such that their angles are powers of two, allowing them to be implemented using shifts. The algorithm iteratively refines an initial vector until it reaches the target angle. Different modes of operation exist, including the rotation mode, which rotates a given vector by a specified angle, and the vectoring mode, which determines the angle and magnitude of a given vector.

CORDIC's efficiency stems from its ability to compute various functions using the same fundamental hardware structure. Besides trigonometric functions like sine and cosine, it can compute hyperbolic functions (sinh, cosh), logarithms, exponentials, and square roots. Its widespread application is seen in areas such as digital signal processing, digital communication, control systems, and embedded microcontrollers where computational resources are limited. The algorithm's simplicity and modularity contribute to its enduring relevance in digital computation.