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M-ary PSK Bit Rate Relationship


M-ary PSK Bit Rate Relationship

Equation Rules & Table Calculation PCM vs PSK

Bit Rate Equation

In M-ary PSK, the bit rate is related to the symbol rate by:

Rb = Rs × log₂(M)

Where:

  • Rb = Bit rate (bps)
  • Rs = Symbol rate / Baud rate
  • M = Number of PSK phases
  • log₂(M) = Bits per symbol

PSK Bit Rate Calculator

Instantaneously calculate bit rates and bandwidth requirements for BPSK, QPSK, and M-ary PSK systems.

Open M-PSK Simulator

Important Rule

Each symbol carries:

log₂(M) bits
Modulation M Bits per Symbol
BPSK 2 1
QPSK 4 2
8-PSK 8 3
16-PSK 16 4

Example

For 8-PSK:

  • Symbol rate = 10 kbaud
  • M = 8
Rb = 10k × log₂(8)
Rb = 10k × 3
Rb = 30 kbps

Comparison with PCM

PCM (Pulse Code Modulation)

Rb = n × fs
  • fs = Sampling frequency
  • n = Bits per sample

M-PSK

Rb = Rs × log₂(M)
  • Rs = Symbols per second
  • log₂(M) = Bits per symbol

Both equations follow a similar concept:

  • PCM → Samples carry multiple bits
  • M-PSK → Symbols carry multiple bits

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