M-ary PSK Interactive Simulator (Bit Rate, Bandwidth, & Efficiency)

M-ary PSK Interactive Simulator

Adjust the parameters to see real-time changes in Bit Rate, Bandwidth, and Efficiency.

System Parameters

Modulation Scheme (M) BPSK (M=2) QPSK (M=4) 8-PSK (M=8) 16-PSK (M=16) 32-PSK (M=32) 64-PSK (M=64)

Higher M increases bits per symbol.

Symbol Rate / Baud Rate (kbaud)

Symbols transmitted per second.

Bandwidth Assumption Nyquist Minimum (B = Rs/2) Standard Approximation (B = Rs) Bandpass / Practical (B = 2Rs)

Performance Output

Bits Per Symbol 3

Bit Rate (Rb) 30 kbps

Bandwidth (B) 20 kHz

Efficiency (η) 1.5 bits/s/Hz

Calculation logic will appear here...

Quick Modulation Reference Table

Scheme	M	Bits/Symbol	Efficiency (B=Rs)

Try Other Interactive Online Simulators

1. Interactive BER vs SNR Simulator for m-ary PSK & QAM
2. Advanced M-ary Modulation Simulator: Constellation, min dist, Efficiency, SER, EVM (RMS)

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Understanding M-ary Phase Shift Keying (PSK)

M-ary Phase Shift Keying (PSK) is a digital modulation scheme that conveys data by changing, or modulating, the phase of a constant-frequency reference signal (the carrier wave). In an M-ary system, the carrier phase can take on one of M possible values.

Key Concepts Explained:

• M (Modulation Order): Represents the number of distinct phases used. For example, in BPSK (M=2), there are two phases (0° and 180°). In QPSK (M=4), there are four.
• Bits per Symbol: Calculated as log₂(M). This tells us how many bits of information are "packed" into a single change in the signal.
• Spectral Efficiency: This measures how efficiently the available frequency spectrum is used. Higher order modulation (like 64-PSK) offers higher efficiency but is more susceptible to noise.

Read more about m-ary PSK and QAM (click here)

Essential PSK Formulas

Bit Rate (R_b):

Rb = Rs × log₂(M)

Bandwidth (B) - Null-to-Null:

B = (2 × Rs) / k

Bandwidth Efficiency (η):

η = Rb / B

Symbol Duration (T_s):

Ts = 1 / Rs

bits per symbol, k = log₂(M) and Rs = symbol rate baud rate

PSK vs. QAM: Which one to choose?

While M-ary PSK is highly effective for satellite communications due to its constant envelope (making it resistant to non-linear amplifier distortions), Quadrature Amplitude Modulation (QAM) is often preferred in cable and Wi-Fi networks. QAM changes both phase and amplitude, allowing for even higher data rates, though it requires more power-efficient linear amplifiers.

Frequently Asked Questions

Why is BPSK more robust than 64-PSK?

In BPSK, the two phase points are 180° apart, making it very hard for noise to cause a bit error. In 64-PSK, the points are very close together, so even small amounts of noise can cause the receiver to misinterpret the signal.

What is the relationship between Baud rate and Bit rate?

Baud rate (Symbol rate) is the number of signal changes per second. Bit rate is the actual amount of data sent. Bit rate = Baud Rate × bits per symbol.

Want to learn more about PCM?

Check out our detailed guide on Pulse Code Modulation and Sampling Theorems.

Read Full Tutorial