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.

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On this page, we will implement a parallel, iterative processor, which is algoithm fairly straightforward mapping of the equations into a bit-parallel data path and a state machine. T is also something that is easy to calculate within an FPGA. Here is my code to compute sine and cosine of the input angle using cordic algorithm:.

I updated the code as output [ To set up a co-simulation, we need to create a Cosimulation object for the Verilog design. For example, consider how the look-up table of elementary arctangents is set up in the SineComputer design:. See Terms of Use. Post as a guest Name. Some can ignore the gain. The combinatorial implementation runs at about 10 mhz while the iterative ones run at about in a Lattice ECP2 device.

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Cordic-based Sine Computer

For pipelined options, this is the number of stages. Aglorithm, as you may have guessed from Fig 1 above, we can apply a similar rotation going in the opposite direction: Here algrithm my code to compute sine and cosine of the input angle using cordic algorithm: The floating point numbers are represented as integers. These rotation matrices can be strung together to accomplish many digital logic purposes.

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The command shown is for the open-source Cver simulator. To implement the design, we will use the Cordic algorithm, a very popular algorithm to compute trigonometric functions in hardware.

The user can change the number of bits that represent the x,y, and theta values. You need to rotate the original vector by some multiple of ninety degree angles until the remaining rotation angle is less than forty five degrees.

The core will operate in one of two modes: How shall I assign port direction to angle? You can find the basic core generator herewithin my cordic repository. This piece of software needs to calculate the phase rotation angles. Anyway, the cast is an additional safety net.

Cordic-based Sine Computer

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. 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.

Software programmers like to look at for and while loops in Verilog and think of them like their for and while counterparts in software. Other HDLs seem to try to solve the issues by creating more and more integer and bit-vector like types. We still have several steps remaining.


Actually, I would have expected that this typecast would not be necessary – after all, we are veilog a signed number. That allows you to pick the number of most-significant bits that you need, for the precision you want.

Cordic Algorithm using Verilog – Electrical Engineering Stack Exchange

I believe it’s quite clear what this is supposed to do. Doing so, though, requires the CORDIC angles, which we needed to calculate based upon the desired precision of the output.

The Verilog output is as follows:. This can all be done with simple integer math—no multiplies or divides are required. By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies.

In this mode the user supplies a X and Y cartesian vector and an angle. Note how this single-line lookup is expanded vfrilog a case statement in the Verilog output. For detailed information, you can review the synthesis report. These applications would codic send 1,0 into the algorithm as an input. That strategy requires that for every strobe input, the output associated with that input also needs to have a high strobe output.

Such a core generator will be our approach here. Moreover, cordlc enables fine-grained range error checking at run-time.