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PROGRAMMING METHOD sinusoidal signals sum of two angles.

Purpose: to get acquainted with the various algorithms of formation of sinusoidal signals, the development and debugging of the generator of sinusoidal signals based on recursively-analytical method the sum of two angles to the processor TMS320VC5510 (laboratory model) TMS320VC5510 DSP Starter Kit (DSK).

THEORETICAL BACKGROUND
Formula sum of two angles.
There are several analytical (computational) methods for the formation of sinusoidal signals. One such method is based on formulas of the sum of two angles:

This method is applicable for serial sampling a sine wave generation, and allows you to calculate the next count functions such as sin (an) = sin (a (n-1) + a), a previous sin (a (n-1)).
Using a(n-1) as α and β as a and denoting S1 = sin (a), C1 = cos (a), Sn (n) = sin (an), Cn (n) = cos (an) obtain the following expressions for calculating the next value of sine and cosine:

Initial data for calculating the first harmonic (with the lowest possible frequency) are the following values: Sn (0) = 0, Cn (0) = 1 – sine and cosine values for zero arguments; N – length of sample (number of counts in the first harmonic); a = 2Π / N, – the minimum increment of the argument and S1 = sin (2Π / N), C1 = cos (2Π / N) – values of sine and cosine for the minimum of the argument.
Figure 1.1 shows an example of a sinewave with a period of 8 samples (N = 8).

Given that the initial values for the k-th harmonic are the initial angle β = ak, Sk = sin (ak) and Ck = cos (ak), for their calculation can use the same formula:

Initial data for calculation, as in the expression (1.2) are the values of Sk (0) = 0 and Ck (0) = 1
Putting the data in memory as follows Cn, Sn, Ck, Sk, C1, S1, you can use the same routine with the indirect addressing for the calculation of both the regular readings of harmonic Sn and Cn, and the initial values of Sk and Ck.
What initially set the pointer (the address in the auxiliary register) on Ck and calculate the next value Ck and Sk, and then on Cn and calculate the required number of readings regular harmonic Sn and Cn:

Notes for achieving a programming task:
When programming sinusoid this method should take into account the following observations:

Write code in Code Composer Studio 3.1 or Code Composer Studio 3.3.
http://focus.ti.com/docs/toolsw/folders/print/ccstudio.html
PROGRAMMING METHOD sinusoidal signals sum of two angles.

Purpose: to get acquainted with the various algorithms of formation of sinusoidal signals, the development and debugging of the generator of sinusoidal signals based on recursively-analytical method the sum of two angles to the processor TMS320VC5510 (laboratory model) TMS320VC5510 DSP Starter Kit (DSK).

THEORETICAL BACKGROUND
Formula sum of two angles.
There are several analytical (computational) methods for the formation of sinusoidal signals. One such method is based on formulas of the sum of two angles:

This method is applicable for serial sampling a sine wave generation, and allows you to calculate the next count functions such as sin (an) = sin (a (n-1) + a), a previous sin (a (n-1)).
Using a(n-1) as α and β as a and denoting S1 = sin (a), C1 = cos (a), Sn (n) = sin (an), Cn (n) = cos (an) obtain the following expressions for calculating the next value of sine and cosine:

Initial data for calculating the first harmonic (with the lowest possible frequency) are the following values: Sn (0) = 0, Cn (0) = 1 – sine and cosine values for zero arguments; N – length of sample (number of counts in the first harmonic); a = 2Π / N, – the minimum increment of the argument and S1 = sin (2Π / N), C1 = cos (2Π / N) – values of sine and cosine for the minimum of the argument.
Figure 1.1 shows an example of a sinewave with a period of 8 samples (N = 8).

Given that the initial values for the k-th harmonic are the initial angle β = ak, Sk = sin (ak) and Ck = cos (ak), for their calculation can use the same formula:

Initial data for calculation, as in the expression (1.2) are the values of Sk (0) = 0 and Ck (0) = 1
Putting the data in memory as follows Cn, Sn, Ck, Sk, C1, S1, you can use the same routine with the indirect addressing for the calculation of both the regular readings of harmonic Sn and Cn, and the initial values of Sk and Ck.
What initially set the pointer (the address in the auxiliary register) on Ck and calculate the next value Ck and Sk, and then on Cn and calculate the required number of readings regular harmonic Sn and Cn:

Notes for achieving a programming task:
When programming sinusoid this method should take into account the following observations:

We are working on a project management / communication tool and need a database solution to back our technical approach. This project is done as a part of a product development project at Helsinki University of Technology (TKK).

We would need to have a database solution to allow the following:
1. Storing and editing general project schedule information
– For automatic schedule generation based on ~8 variables
2. Data entry for existing projects (SMS or handheld targeted website)
– To manage the changes in the schedule
– Should have a verification step before enabling the update
– Update info from handheld/mobile –> database –> notification
to gatekeeper (email) –> accept/decline –> publish updated info
3. Data entry for project related extra information (website)
– To add images and other graphics + text
4. Automatically updating information interface (Graphical, one way)
– Fetches the updated information automatically from the database
– Should be done in Java
– We will provide a template on the look and feel of the UI

The projects concerned are of a specific type and all the data included is thus fairly well standardized.

We are using phidgets to add functionality to our solution, thus any knowledge concerning integrating sensor data to the UI is seen as a major benefit when evaluating the bids.

The project is fairly urgent as the final DL for the complete working and finalized solution is already in four weeks. Haste is thus appreciated also fairly much when evaluating the bids.