Electronics & Communication / Shannon-Hartley Capacity
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LABORATORY 30 · ELECTRONICS & COMMUNICATION

Shannon-Hartley AWGN Channel Capacity and Bandwidth-SNR Trade-Off Limits

Evaluate the theoretical upper bound of error-free information transmission over an Additive White Gaussian Noise (AWGN) channel, demonstrating the linear capacity expansion with channel bandwidth. 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.

INFORMATION CHANNEL CAPACITY C—
RF INSTRUMENTATION TELEMETRY

Ready to sample with Channel Bandwidth = 50.0 kHz.

50.0 kHz
Excitation locked to low-phase-noise synthesized reference oscillator.

Adjust Channel Bandwidth, 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.

Shannon-Hartley Capacity Telecommunication Workstation

Provides regulated RF/baseband excitation, precision impedance-matched test fixtures, and low-noise interconnection for entropy, sphere-packing bound, eb/n0 waterfall curves & shannon limit (-1.6 db).

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 shannon-hartley capacity.

Synthesized Vector RF Signal Generator (9 kHz – 3 GHz)

Delivers calibrated, low-phase-noise continuous-wave and modulated carrier signals to establish channel bandwidth conditions.

High-Dynamic-Range RF Spectrum Analyzer (9 kHz – 3.6 GHz)

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.

Evaluate the theoretical upper bound of error-free information transmission over an Additive White Gaussian Noise (AWGN) channel, demonstrating the linear capacity expansion with channel bandwidth. Standardized parameter settings: 10.0, 25.0, 45.0, 65.0, 80.0, 100.0 kHz.

  1. 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.
  2. Carrier & Modulating Signal Synthesis: Configure the synthesized RF signal generator and baseband source to the specified baseline parameters. Calibrate the channel bandwidth using the precision digital multimeter and oscilloscope.
  3. Systematic Telemetry Acquisition & Setpoint Stepping: Increment the channel bandwidth systematically across the experimental range (10.0 to 100.0 kHz), logging the resulting information channel capacity c after signal settling.
  4. 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.
  5. 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.
  6. 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.

See a complete example report ↗

Points are your recorded observations. The solid regression line validates Shannon-Hartley Capacity mathematical scaling.

LINEAR REGRESSION FIT · y = mx + b
C = 5.0444 · B
#Channel Bandwidth B (kHz)Information Channel Capacity C (kbps)Channel bandwidth B (kHz)Information capacity C (kbps)

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 Shannon-Hartley Capacity, the primary dependent variable measured is:

Question 2: The mathematical relationship governing Shannon-Hartley Capacity is modeled as:

Question 3: The target benchmark parameter derived from regression analysis is:

Question 4: Which instrument provides the most accurate visualization of spectral harmonics and carrier sidebands in the frequency domain?

THEORY AND ELECTROMAGNETIC CONTEXT

Electronics & Communication Engineering background & physical principles.

Evaluate the theoretical upper bound of error-free information transmission over an Additive White Gaussian Noise (AWGN) channel, demonstrating the linear capacity expansion with channel bandwidth.

C = 5.0444 · B

Communication systems rely on Fourier spectral decomposition, Shannon channel capacity, and electromagnetic propagation theory.