The output from a half-wave rectifier is shown in Figure 1. The purpose of this circuit is to convert a sinusoidal input voltage to a pulsating dc output voltage.
1. (a) Find the period, frequency and angular frequency of the waveform shown in Figure 1.
(b) Write down the analytic description of the function.
(c) State whether you would expect the Fourier series of this function to contain a constant term.
(d) State whether the function is odd or even and explain why this will inform how the Fourier coefficients are calculated.
2. Determine the Fourier series for this function.