Generating a sine wave

Sinusoidal signals are commonly used in signal processing applications and generating these waveforms provides an interesting project that is the focus of this recipe. A common approach is a direct method that stores the sinusoidal waveform samples in a look-up-table (LUT). This recipe is called dacSinusoid_c5v0.

Getting ready

First, we need to calculate the (12-bit) DAC values that will be stored in the LUT. We'll attempt to generate a 50 Hz sinusoidal signal and use a spreadsheet (for example, Microsoft Excel) to calculate the following values:

Smpl. No	Theta Rads	floor((sin(theta)+1)*4095/2)
0	0	2047
1	0.31415927	2680
2	0.62831853	3250
3	0.9424778	3703
4	1.25663706	3994
5	1.57079633	4095
6	1.88495559	3994
7	2.19911486	3703
8	2.51327412	3250
9	2.82743339	2680
10	3.14159265	2047
11	3.45575192	1414
12	3.76991118	844
13	4.08407045	391
14	4.39822972	100
15	4.71238898	0
16	5.02654825	100
17	5.34070751	391
18	5.65486678...