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Online Simulator for Phase Modulation


See Mathematical Background >> See Instructions >>

Phase Modulation


Switch to Digital Phase Modulation (BPSK)

Each '0' will shift phase by 180°, each '1' by 0°.


Digital Phase Modulation: From BPSK to QPSK

In modern digital communications (like WiFi, 4G LTE, and 5G), we don't just shift phase based on a wave; we shift it based on binary data. This is known as Phase Shift Keying (PSK).

BPSK (Binary PSK)

  • 1 bit per symbol
  • Phases: 0° and 180°
  • Highest noise immunity, lowest data rate.

QPSK (Quadrature PSK)

  • 2 bits per symbol
  • Phases: 45°, 135°, 225°, 315°
  • Double the data rate in the same bandwidth.

Technical Application: Engineers use BPSK for deep-space telemetry because it is incredibly robust against interference, while QPSK is used in satellite television broadcasting.


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What is Phase Modulation (PM)?

Phase Modulation is a type of modulation where the phase of the carrier signal is varied in accordance with the instantaneous amplitude of the message signal. Unlike Frequency Modulation (FM), the frequency remains constant while the phase shift conveys the information.

Equation: $s(t) = A_c \cos(2\pi f_c t + k_p m(t))$

Key parameters include the Modulation Index ($k_p$), which determines how much the phase changes per volt of the message signal. High-frequency applications like WiFi (PSK) and Satellite Communications rely heavily on variations of phase modulation.

Step 1: Signal Setup

Enter a Message Frequency (e.g., 5Hz) and a Carrier Frequency (at least 10x higher, e.g., 50Hz).

Step 2: Amplitude Tuning

Adjust the gains to see how the intensity of the phase shift reacts to the message signal peaks.

Step 3: Analyze Phase

Click "Modulate" and look for the points where the signal "bunches" or "stretches"—this is the phase shift.

Comparison of Modulation Techniques

Feature Phase Modulation (PM) Frequency Modulation (FM)
Constant Parameter Amplitude & Frequency Amplitude
Modulation Index Proportional to $A_m$ Proportional to $A_m / f_m$
Noise Immunity High Very High

Frequently Asked Questions

What is the difference between PM and FM?

In PM, the phase shift is proportional to the message signal amplitude. In FM, the phase shift is proportional to the integral of the message signal.

Why use Phase Modulation in digital systems?

Digital PM (like QPSK or BPSK) is highly bandwidth-efficient and allows for high data rates in modern wireless standards like 4G, 5G, and WiFi.

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