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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## Using a CORDIC to calculate sines and cosines in an FPGA

You can find more information about the convertible subset in the MyHDL manual. A simple two-dimensional rotation matrix is given by: It is therefore defined to simply be equal to the sign bit of angle:. Ok will try and get back. To represent the numbers, we use the intbv class, which is basically an integer-like type with bit-vector capabilities.

The fundamental problem is that Verilog uses an unsigned interpretation by default, which is the opposite from what you should do to get the naturally expected results. The CORDIC algorithm is a clever method for accurately computing trigonometric functions using only additions, bitshifts and a small lookup table.

### Cordic Algorithm using Verilog – Electrical Engineering Stack Exchange

Introduction On this page we will present the design of a sine and cosine computer. The described behavior is a unique feature of the MyHDL design flow.

Further, as you may have guessed from Fig 1 above, we can apply a similar rotation going in the opposite direction:.

Note that we have been talking about the convertible subset, and not about the “synthesizable subset”. Hate it when I get this sort of incomplete error alvorithm. Having said that, the Verilog literature seems to indicate that a shift operation is an exception to this rule. The message you should get from this discussion is the following: Now that we have a working design and only now! By clicking “Post Algorihm Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that un continued use of the website is subject to these policies.

Of course, we still need to make sure that the convertor gets it right, which is hard enough. Home Questions Tags Users Unanswered.

It uses the most amount of LUTS. To implement the design, we will use the Cordic algorithm, a very popular algorithm to compute trigonometric functions in hardware. 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:. The first three are 32 bits wide, since they are storing fixed-point numbers as described above.

## Cordic-based Sine Computer

Both the sine and the cosine of the input angle will be computed. This piece of software needs to calculate the phase rotation angles.

We discussed some time ago how to go about this via rounding. We may want to use the test bench for designs with different characteristics; therefore, the error margin is made a parameter. This is what we are going to try to do: We also discussed several different types algoritgm rounding at that same time.

### Using a CORDIC to calculate sines and cosines in an FPGA

Software loops repeat the same instruction, one after another in time. It seems obvious that a type that unifies the integer and the bit vector views should corsic very useful for hardware design. You forgot to assign a port direction to angle: Post as a guest Name. 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.

The first step in building this rotation, though, is verulog massage the problem so that the rotation desired is less than 45 degrees.