Amplitude modulation laboratory 2026-10-14
Rice University's ELEC 332: In the Lab makes the model experimentally testable. Preparation resets the spectrum analyzer and observes an unmodulated generator output on it and an oscilloscope. A Wavetek function generator supplies external modulation. The specified carrier and message separate three peaks. Marker readouts give frequency and level; narrowing resolution bandwidth shows how the instrument broadens a line.[ref]
ELEC 332: In the Lab, Rice University. ELEC 332: In the Lab, Part 1, “Initial Configuration”, “Initializing”, “Observing a signal”, “Changing the bandwidth”, “Using the marker” and “Resolving signals”
Part 3 uses an SA602 analog multiplier module. The message generator also triggers the oscilloscope; multiplier output feeds both displays. A no-offset module supplies a suppressed-carrier control. Replacing it with the offset-adding module restores the carrier; varying levels tests signal distortion. Finally a radio receives the conventional AM transmission, and varying message frequency checks that the heard tone belongs to this source. These are prescribed observations, not reported measurements.[ref]
ELEC 332: In the Lab, Rice University. ELEC 332: In the Lab, Part 3, module descriptions and “Connect the components” through “AM transmitter”: input/output connections, offset control, level sweep and receiver check
Calibration matters: verify generator voltage at the connected input, distinguish peak from peak-to-peak amplitude and root mean square, and check analyser units and loading before comparing heights with or power with . The unmodulated carrier is a reference control. Limited resolution can merge sidebands; generator harmonics can add peaks. Rice explicitly demonstrates both limitations in Part 1.[ref]
ELEC 332: In the Lab, Rice University. ELEC 332: In the Lab, Part 1, “Resolving signals”: message-generator harmonic distortion and unresolved sidebands when the message frequency is reduced
A complementary University of Kansas procedure, A.2 - Amplitude Modulation, calibrates the added carrier and the suppressed-carrier product separately to peak-to-peak before recombining them. It holds the carrier fixed, varies modulation depth, reads envelope extrema and carrier-to-sideband power differences, then connects the demodulator and adjusts its tunable low-pass filter for recovery, comparing the output with the message. These are setup targets and comparison instructions, not measured results.[ref]
The inference combines time and frequency spectrum readouts: correct sideband spacing tests frequency translation, relative heights test modulation depth, and the recovered message tests the detector. Hardware clipping, receiver filtering and noise can spoil recovery even at . Conversely failure of an envelope detector at does not demonstrate failure of a synchronized multiplier receiver. The two diagrams above illustrate the stipulated linear model only.
Overmodulation 2026-10-14
For this single-tone AM model, overmodulation means . The signed factor becomes negative whenever . On such intervals,The sign reversal is a radian shift of the carrier's wave phase. At each zero of , the wave envelope vanishes and that phase is undefined. The waveform itself is continuous: the formula has not clipped it or created extra spectral lines.
At , sign changes occur at message phases and within each cycle. At the trough , the desired signed factor is , whereas its nonnegative wave envelope is . Ideal envelope recovery followed by subtraction of would give there, rather than the desired message voltage . This is loss of polarity in the detector, not loss of the message from the full modulated signal. Actual transmitter clipping is a separate signal distortion that can generate additional spectral components.