Double-Sideband Full-Carrier Amplitude Modulation Index and Precision Diode Envelope Demodulation
Determine the modulation index (m) of a double-sideband full-carrier (DSB-FC) AM wave and evaluate the demodulated audio output voltage linearity across modulation depths from 10% to 100%. Explore interactive telecommunication simulation, RF analysis, and signal processing telemetry.
ANALOG MODULATION · DIGITAL BASEBAND · PASSBAND MODULATION · ANTENNAS & RF · OPTICAL FIBER · DSP
Your virtual electronics & communication engineering laboratory.
DEMODULATED AUDIO OUTPUT VOLTAGE V_DEMOD—
RF INSTRUMENTATION TELEMETRY
Ready to sample with Modulation Index = 0.5 ratio.
Excitation locked to low-phase-noise synthesized reference oscillator.
Adjust Modulation Index, then execute telecommunication RF/baseband acquisition.
Communication telemetry is sampled with calibrated high-precision instruments using 64-bit IEEE 754 precision buffers. Residuals reflect ordinary least-squares regression across successive observations. Continuous data structures support high-fidelity modulation, channel, and spectral analysis.
Communication engineering assumptions and boundary limits
Channel modeled under additive white Gaussian noise (AWGN) and linear band-limited propagation. Harmonic distortion remains constrained below -45 dBc across all calibrated test points.
Laboratory apparatus & testing equipment.
AM & Envelope Demodulation Telecommunication Workstation
Provides regulated RF/baseband excitation, precision impedance-matched test fixtures, and low-noise interconnection for sideband power distribution, trapezoidal pattern analysis & diagonal clipping distortion.
6.5-Digit True-RMS Digital Multimeter (Keysight / Fluke)
Measures DC bias points, RMS carrier/signal voltages, and circuit node potentials with ±0.0035% baseline accuracy.
Four-Channel Digital Storage Oscilloscope (200 MHz, 2 GSa/s)
Captures high-frequency RF envelopes, baseband eye diagrams, constellation patterns, and transient responses for am & envelope demodulation.
Synthesized Vector RF Signal Generator (9 kHz – 3 GHz)
Delivers calibrated, low-phase-noise continuous-wave and modulated carrier signals to establish modulation index conditions.
Quantifies fundamental harmonic amplitudes, carrier suppression ratios, sideband power distributions, and spurious emissions.
Matched 50-Ohm Coaxial Interconnects & Attenuator Set
Maintains uniform transmission line impedance, eliminates unwanted standing-wave reflections, and protects instrument front-ends.
FOLLOW THE METHOD
A reason behind every step.
Determine the modulation index (m) of a double-sideband full-carrier (DSB-FC) AM wave and evaluate the demodulated audio output voltage linearity across modulation depths from 10% to 100%. Standardized parameter settings: 0.1, 0.3, 0.5, 0.7, 0.9, 1.0 ratio.
Apparatus Calibration & Ground Plane Verification: Inspect all coaxial BNC/SMA interconnects and verify 50-ohm characteristic termination. Power up all instruments and allow a 20-minute thermal settling period to stabilize crystal reference oscillators.
Carrier & Modulating Signal Synthesis: Configure the synthesized RF signal generator and baseband source to the specified baseline parameters. Calibrate the modulation index using the precision digital multimeter and oscilloscope.
Systematic Telemetry Acquisition & Setpoint Stepping: Increment the modulation index systematically across the experimental range (0.1 to 1.0 ratio), logging the resulting demodulated audio output voltage v_demod after signal settling.
Frequency-Domain & Time-Domain Cross-Validation: Observe and photograph the corresponding waveform on the digital storage oscilloscope and verify the spectral distribution on the RF spectrum analyzer. Verify that harmonic distortion remains below -45 dBc.
Repeatability & Hysteresis Verification: Execute both ascending and descending parameter sweeps across the device under test (DUT) to detect any thermal drift, detector non-linearity, or oscillator pulling.
De-energization & Dataset Archival: Safely reduce RF excitation levels, save captured digital waveforms to non-volatile storage, export telemetry to the laboratory logbook, and power down all high-frequency instrumentation.
YOUR NOTEBOOK · 0 OBSERVATIONS
Turn measurements into telecommunication engineering insight.
Points are your recorded observations. The solid regression line validates AM & Envelope Demodulation mathematical scaling.
LINEAR REGRESSION FIT · y = mx + b
V_demod = 10.0000 · m
#
Modulation Index m (ratio)
Demodulated Audio Output Voltage V_demod (V)
Modulation index m
Demodulated audio voltage V_demod (V)
No readings yet. Execute a communication trial and record it.
CHECK YOUR UNDERSTANDING
Explain what the communication metrics mean.
Question 1: In the experimental investigation of AM & Envelope Demodulation, the primary dependent variable measured is:
The experimental protocol directly measures Demodulated Audio Output Voltage V_demod as a function of the manipulated Modulation Index.
Question 2: The mathematical relationship governing AM & Envelope Demodulation is modeled as:
Linear regression across calibrated observations confirms the governing equation V_demod = 10.0000 · m with R² > 0.999.
Question 3: The target benchmark parameter derived from regression analysis is:
The experimental slope and intercept directly yield Carrier Peak Voltage Sensitivity V_c with a theoretical reference value of 10.0 V.
Question 4: Which instrument provides the most accurate visualization of spectral harmonics and carrier sidebands in the frequency domain?
An RF spectrum analyzer decomposes electrical signals into their individual Fourier spectral components, measuring sideband amplitudes and spurious harmonic power in dBm or dBc.
THEORY AND ELECTROMAGNETIC CONTEXT
Electronics & Communication Engineering background & physical principles.
Determine the modulation index (m) of a double-sideband full-carrier (DSB-FC) AM wave and evaluate the demodulated audio output voltage linearity across modulation depths from 10% to 100%.
V_demod = 10.0000 · m
Communication systems rely on Fourier spectral decomposition, Shannon channel capacity, and electromagnetic propagation theory.