Implementation of Cordic Algorithm for FPGA. Based Computers Using Verilog. pani1, ju, a3. The CORDIC rotator seeks to reduce the angle to zero by rotating the vector. To compute . See the description of the CORDIC algorithm for details. */ module. Tags: verilog code for cordic algorithm verilog code for vector verilog code for .. specific device designations, other words log Abstract.. code in the example.

The Cordic equations can be used for a variety of computations.

This is what we are going to cogdic to build today. This line uses things like a list comprehension and a call to the trigonometric function atan algoithm the math library, At this point, this is beyond the scope of the convertible subset, and it may stay like that forever. Such a core generator will be our approach here. Back to project URL https: As long as the code inside them obeys the constraints of the convertible subset, the design instance can always be converted to Ib.

The keyword arguments make the link between signal names declared in the Verilog test bench stub and signals in the MyHDL code. Enter the sin and cos of the desired angle and the core calculates the angle. The described behavior is a unique feature of the MyHDL design flow.

Notice from the figure that these vectors are not on the unit circle, but rather just outside the unit circle, and they get closer and closer to the unit circle the higher k becomes.

You can find the basic core generator herewithin my cordic repository.

Cordic-based Sine Computer

Then also calculate and normalize by their their lengths. Therefore, the convertor works on the simulatable data structure, which is a hierarchical list of generators. Now that we have vreilog working design and only now!

The idea is to use the cos and sin functions from the math module to compute the expected results on a number of input angles, and to compare them with the outputs from the design under test. Our first problem, therefore is going to be rotating our incoming vector so that any remaining rotation amount is 45 degrees or less. To implement the design, we will use the Cordic algorithm, a very popular algorithm to compute trigonometric functions in hardware.

Some can ignore the gain. The actual computation is done by the processor generator. The implementation We will assume that all numbers are stored as bit fixed-point numbers, with the radix point between the second-most-significant and third-most-significant bits.

These are the initial values of x, y, and the remaining phase to rotate through. For now, remember that the global CE strategy requires that nothing changes unless a CE line is true. Because the CORDIC algorithm will also increase the magnitude of the input, this process adds one more bit on the left—to allow for a touch of width expansion. We discussed some time ago how to go about this via rounding.

Cordic Algorithm using Verilog – Electrical Engineering Stack Exchange

Rotating to zero The next step is to rotate the xv[0] and yv[0] values through the remaining phase angle, ph[0]. Note that outside the generator function, we calculate some data such as the X0 constant, and algoritthm look-up table of elementary arctangents, represented by the angles tuple.

The interface of the module looks as follows:. T is also something that is easy to calculate within an FPGA.

Computing sin & cos in hardware with synthesisable Verilog

This, however, only tells us how much gain will be applied to our input. For high-level, algorithmic work, this is much easier. This piece of software needs to calculate the phase rotation angles.

The floating point numbers are represented as integers by scaling them up with a factor algorithn to the number of bits after the point. First off, we declare the constants that we will use: See Terms of Use. This mode seeks to reduce the angle.

This open-cores core is built with a fixed precision.