Virtual Laboratory: QAM & QPSK

ECE 426-Digital Communication Systems | Department of Electrical & Communication Engineering

QPSK Theory

Quadrature Phase Shift Keying (QPSK) is a digital modulation scheme that conveys data by changing the phase of a carrier signal. It uses four phase states (45°, 135°, 225°, 315°) to represent two bits per symbol.

Key Concept: QPSK transmits two bits per symbol, doubling the data rate compared to BPSK while using the same bandwidth.

The QPSK signal can be represented as:

s(t) = √(Es/2T) [Ik cos(2πfct) - Qk sin(2πfct)]

Where:

  • Ik and Qk are the in-phase and quadrature components (±1)
  • Es is the symbol energy
  • T is the symbol period
  • fc is the carrier frequency
Generated bits: 00 01 10 11 00 10 11 01

QPSK Modulation Controls

QPSK Constellation Diagram

QPSK Waveforms

In-Phase (I) and Quadrature (Q) Components

Transmitted QPSK Signal

QPSK Eye Diagram

The eye diagram helps visualize signal distortion and intersymbol interference.

Interpretation: A wide "eye opening" indicates good signal quality with low error probability. Noise and distortion cause the eye to close.

QAM Theory

Quadrature Amplitude Modulation (QAM) is a modulation scheme that conveys data by changing both the amplitude and phase of a carrier signal. It's widely used in modern digital communication systems like Wi-Fi, cable TV, and cellular networks.

Key Concept: QAM combines amplitude shift keying (ASK) and phase shift keying (PSK) to transmit multiple bits per symbol, increasing spectral efficiency.

The QAM signal can be represented as:

s(t) = Ai cos(2πfct) + Aq sin(2πfct)

Where:

  • Ai and Aq are the amplitudes of in-phase and quadrature components
  • fc is the carrier frequency

Common QAM constellations include 16-QAM (4 bits/symbol), 64-QAM (6 bits/symbol), and 256-QAM (8 bits/symbol).

Generated bits: 0000 0011 1100 1111 0101 1010 0110 1001

QAM Modulation Controls

QAM Constellation Diagram

QAM Waveforms

In-Phase (I) and Quadrature (Q) Components

Transmitted QAM Signal

QAM Eye Diagram & Error Analysis

QAM Eye Diagram

Bit Error Rate (BER) Analysis: Higher-order QAM constellations are more susceptible to noise, resulting in higher BER at the same SNR compared to lower-order modulations.

QPSK vs. QAM Comparison

QPSK (Quadrature Phase Shift Keying)

  • Bits per symbol: 2 bits
  • Constellation points: 4 (fixed amplitude, varying phase)
  • Noise immunity: High (only phase changes)
  • Spectral efficiency: Moderate
  • Power efficiency: High (constant envelope)
  • Applications: Satellite communications, deep space communications
  • Advantages: Robust to noise, simpler implementation
  • Disadvantages: Lower data rate for given bandwidth

QAM (Quadrature Amplitude Modulation)

  • Bits per symbol: 4-8 bits (16-QAM to 256-QAM)
  • Constellation points: 16, 64, 256, etc. (varying amplitude and phase)
  • Noise immunity: Lower (both amplitude and phase changes)
  • Spectral efficiency: High
  • Power efficiency: Lower (non-constant envelope)
  • Applications: Wi-Fi, cable modems, digital TV, 5G cellular
  • Advantages: High data rate for given bandwidth
  • Disadvantages: More susceptible to noise and nonlinear distortion

BER Comparison: QPSK vs 16-QAM vs 64-QAM

Trade-off Analysis: The choice between QPSK and QAM involves a trade-off between data rate and noise immunity. QPSK is more robust in noisy environments, while QAM provides higher data rates in cleaner channels with sufficient SNR.