How does CORDIC algorithm work?
1.3 How does it work? CORDIC revolves around the idea of “rotating” the phase of a complex number, by multiplying it by a succession of constant values. However, the multiplies can all be powers of 2, so in binary arithmetic they can be done using just shifts and adds; no actual multiplier is needed.
What is the algorithm for sine?
Sine Cosine Algorithm (SCA) is a population-based optimization algorithm introduced by Mirjalili in 2016 for solving several optimization problems. The SCA generates various initial random solutions and asks them to shift towards the best solution using a mathematical model based on sine and cosine functions.
What is CORDIC processor?
Coordinate Rotation Digital Computer (CORDIC) algorithm has turned out to be such kind of programmable signal processor. The design of CORDIC in the vector rotation mode results in high system throughput due to its pipelined architecture where latency is reduced in each of the pipelined stage.
How do you use CORDIC?
The basic idea behind the CORDIC algorithm is that we can string many of these rotation matrices together–either rotating by a positive theta_k or a negative theta_k in each matrix. As an example, suppose you rotated [1, 0] by +26.57 degrees (k=1), then by 14.03 degrees (k=2), then backwards by 7.12 degrees (k=3).
What is CORDIC architecture?
CORDIC is an acronym for COordinate Rotation Digital Computer. It is a hardware-efficient, shift and add algorithm that is used in various digital signal processing applications for computing trigonometric, logarithmic, hyperbolic and other linear and transcendental functions.
What is CORDIC used for?
CORDIC stands for Coordinate Rotation Digital Computer. It calculates the value of trigonometric functions like sine, cosine, magnitude and phase to any desired precision. It can also calculate hyperbolic functions (such as sinh, cosh and tanh).
How do you use cordic?
Why is CORDIC used?
Within the field of robotics, CORDICs are used within kinematics, where they are useful for determining the position and movement of robotic joints and limbs. In this application, you can use a circular CORDIC in vectoring mode to easily add coordinate values with new coordinate values.
What does a CORDIC do?
CORDIC is a method of calculating a math function using much simpler math operations in a loop called a Binary Search. Most commonly CORDIC is used to calculate ATAN2 (Angle), and Hypotenuse (Distance) of a point. CORDIC can also be used to calculate other math functions like SIN and COS.
How does a CORDIC algorithm generate a sine wave?
A circuit for generating successive points on a sine wave using the Coordinate Rotational Digital Computer (CORDIC) algorithm. An angle memory and an amplitude memory store respective angle and amplitude values from which a CORDIC logic processor calculates a point on a sine wave.
Which is an example of the CORDIC algorithm?
For example, a rotation of 57.535˚ 57.535 ˚ is the same as three successive rotations by 45˚ 45 ˚, 26.565˚ 26.565 ˚, and −14.03˚ − 14.03 ˚ (note that we can use negative angles too). The second fundamental idea is that we can choose the small elementary angles in a way that tan(θi) = 2−i t a n ( θ i) = 2 − i for i = 0,1,…,n i = 0, 1, …, n.
When to take scaling factor into account in CORDIC algorithm?
First, each rotation mandates a scaling factor which appears in the final calculations. This means that it is possible to ignore the cos(θ) c o s ( θ) term of equation (3) and take the scaling factor into account at the end of the algorithm. Second, as we proceed with the algorithm, the angle of rotation rapidly becomes smaller and smaller.
Can a CORDIC algorithm be implemented in a FPGA?
Today, let’s look at how to implement a CO ordinate R otation DI gital C omputer (CORDIC) algorithm within an FPGA. If you’ve never worked with a CORDIC algorithm before, the algorithms are all based around specific rotation matrices which we will explain first.
