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Simulation of ASK, FSK, and PSK using MATLAB Simulink (with Online Simulator)


📘 Overview 🧮 How to use MATLAB Simulink 🧮 Simulation of ASK using MATLAB Simulink 🧮 Simulation of FSK using MATLAB Simulink
  • 🧮 Simulation of PSK using MATLAB Simulink
  • 🧮 Simulator for ASK, FSK, and PSK
  • 🧮 Digital Signal Processing Simulator
  • 📚 Further Reading
  • 📚 BER vs SNR Simulation
  • 📚 Constellation Simulation


    • Simulation of Amplitude Shift Keying (ASK) using MATLAB Simulink

    In Simulink, we pick different components/elements from MATLAB Simulink Library. Then we connect the components and perform a particular operation.

    Result

    A sine wave source, a pulse generator, a product block, a mux, and a scope are shown in the diagram above. The pulse generator generates the '1' and '0' bit sequences. Sine wave sources produce a specific amplitude and frequency. The scope displays the modulated signal as well as the original bit sequence created by the pulse generator. Mux is a tool for displaying both modulated and unmodulated signals at the same time.

    The result section shows that binary '1' is modulated by a certain sine wave amplitude of 1 Volt, and binary '0' is modulated by zero amplitude.

    Simulation of Frequency Shift Keying (FSK) using MATLAB Simulink

    Result

    The diagram above shows two sine wave sources, a pulse generator, a switch, a mux, and a scope. The pulse generator generates the '1' and '0' bit sequences. Two different frequencies are provided by sine wave sources. The result section shows that binary '1' is modulated at a higher frequency than binary '0'.

    Simulation of Phase Shift Keying (PSK) using MATLAB Simulink

    Result

    In the result section, binary '1' is modulated with a 180-degree phase shift (corrected), whereas binary '0' is modulated with the original 0-degree phase.

    Simulator for Binary ASK Modulation
    Simulator for Binary FSK Modulation
    Simulator for Binary PSK Modulation
    Mathematical Background

    1. Amplitude Shift Keying (ASK)

    The signal is represented by changing the amplitude of the carrier wave. For Binary ASK:

    $$s(t) = \begin{cases} A \cos(2\pi f_c t) & \text{for bit 1} \\ 0 & \text{for bit 0} \end{cases}$$

    2. Frequency Shift Keying (FSK)

    The frequency of the carrier is shifted between two discrete values ($f_0$ and $f_1$):

    $$s(t) = \begin{cases} \cos(2\pi f_1 t) & \text{for bit 1} \\ \cos(2\pi f_0 t) & \text{for bit 0} \end{cases}$$

    3. Phase Shift Keying (PSK)

    The phase of the carrier is shifted by 180° ($\pi$ radians) to represent different bits:

    $$s(t) = \begin{cases} \cos(2\pi f_c t) & \text{for bit 1 (0 rad)} \\ \cos(2\pi f_c t + \pi) & \text{for bit 0 (\(\pi\) rad)} \end{cases}$$
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    Read More about

    1. Online Simulator for ASK, FSK, and PSK
    2. Online Simulator for Amplitude Modulation
    3. Online Simulator for Frequency Modulation
    4. Online Simulator for Phase Modulation
    5. Try Digital Signal Processing Simulator
    6. QPSK Modulation and Demodulation using MATLAB Simulink



    BER Performance Simulator

    BER Quick Reference

    ASK

    0.5 × erfc(0.5 × √SNR)

    FSK

    0.5 × erfc(√(SNR / 2))

    PSK

    0.5 × erfc(√SNR)

    ASK Modulation

    dB

    FSK Modulation

    dB

    PSK Modulation

    dB
    DSP Simulations Main Page →

    Constellation Diagrams & Signal Space

    Interactive Guide for ASK, FSK, and PSK Modulation

    Simulator Theory Q-Function

    Comparison Table

    Scheme Distance Immunity
    BPSK $2\sqrt{E_b}$ Highest
    BFSK $\sqrt{2E_b}$ Medium
    BASK $\sqrt{E_b}$ Low

    Signal Distance

    The Bit Error Rate (BER) is determined by the Euclidean distance between points. PSK maximizes this distance by placing points at $180^\circ$, making it the most power-efficient scheme.

    Boundary Simulator (Q-Function)
    DIST ($x$)
    1.5
    PROB $Q(x)$
    0.0668
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