This project will cover amplitude modulation and demodulation. A normal AM waveform is produced using a simple switching modulator circuit. The resulting AM waveform is then demodulated using an envelope detector circuit. It requires the students to simulate the circuit and then construct the circuit and monitor the signal in both the time and frequency domain. Plots and discussion are required at each stage to show an understanding of the relevant modulation concepts.Phase One $($Due on Thu. $4/1/2024)$:

Part $1$: Normal AM modulation.

Normal AM modulation can be generated by using a switching modulator with a bandpass filter.

$1\mathrm{.}1$ Express modulating signal $m(t)$ and carrier signal $c(t)$ in time domain, and frequency domain.

$1\mathrm{.}2$ Assume the diode switching signal $p(t)$ is given by

Where $T_c$ denotes the fundamental period of carrier signal $c(t).$ Determine the complex exponential Fourier series of the signal $p(t).$

$1\mathrm{.}3$ Evaluate the output modulated signal $s(t).$

$1\mathrm{.}4$ Design a suitable bandpass filter to generate normal AM modulation expressed below.

$s(t)=2[1+0\mathrm{.}8cos(2{10}^{3}t)]cos(2{10}^{4}t)$

$1\mathrm{.}5$ Use MATLAB or Pspice software to plot the modulating signal, carrier signal, switching signal, and modulated signal in the time domain and frequency domain. Explain your results.

Part $2$: Normal AM demodulation

To recover the message signal from the modulated signal, use an envelope detector.

$2\mathrm{.}1$ Design the envelope detector to recover the message signal.

$2\mathrm{.}2$ plot the demodulated output signal in both the time domain and frequency domain.

Phase Two $($Due on Thu. $18/1/2024)$: Bread$-$board Circuit Implementation

Based on your analysis:

Implement the normal AM modulator and Demodulator breadboard circuit.

Display the modulated, and demodulated signals on an oscilloscope. Explain your results.