Shortcut!

If you have completed the Sinusoids and Swept Signals project and your circuit is still intact, feel free to skip to Step 2 of this exercise.

Step 1: Understanding the Circuit

A. Circuit Schematic

1. Connect one terminal of the speaker to the W1 terminal of your Analog Discovery.

2. Connect the other terminal of the speaker to a ground terminal on your Analog Discovery.

B. Create Circuit

1. Insert the terminals of the speaker into your breadboard so that they are in different rows.

2. Connect W1 (the yellow wire) to one terminal of the speaker.

3. Connect ground (, the black wire) to the other speaker terminal.

Step 2: Set up Instruments

A. Open WaveGen Instrument

1. Open WaveForms™ to view the main window.

2. Click on the WaveGen icon to open the waveform generator.

B. Create the Custom Waveform

Note

• The frequencies in the equation typed in the math editor are relative to the range of X also defined in the math editor. Therefore, the \(\sin (60 \cdot \pi \cdot X)\) term will go through 30 cycles over the range \({\rm{ - 0}}{\rm{.5 < X < 0}}{\rm{.5}}\). The \({\rm{sin(62}} \cdot \pi \cdot {\rm{X)}}\) term will go through 31 cycles in the range \({\rm{ - 0}}{\rm{.5 < X < 0}}{\rm{.5}}\).

• “Beating” results from adding the two sinusoids together. The addition results in another sinusoidal component which has a frequency that is the difference in the frequencies of the individual sinusoids. Thus, in our plot window, we see a signal which, in addition to its high frequency oscillation, goes through one cycle in the range \({\rm{ - 0}}{\rm{.5 < X < 0}}{\rm{.5}}\).

Step 3: Experiment

A. Apply the Signal to Your Speaker

4. Click on Run AWG1 or Run All to apply the signal to your speaker. The sum of the sinusoids should create a “tone” which seems to fade in and out. The rate at which the signal fades in and out is based on the relative frequencies of these sinusoids.