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QPSK Modulation

Quadrature Phase Shift Keying - 2 bits per symbol

11 01 00 10

QPSK Constellation

00
45°
01
135°
11
225°
10
315°

Received with AWGN Noise

I/Q Components & QPSK Waveform

How QPSK Works

Symbol Mapping: Each pair of bits (dibit) maps to one of 4 phases: 45°, 135°, 225°, 315°.

Spectral Efficiency: 2 bits per symbol = double the bit rate of BPSK for same bandwidth!

Gray Coding: Adjacent symbols differ by only 1 bit, minimizing errors from noise.

I/Q Representation: s(t) = I·cos(ωt) - Q·sin(ωt) where I,Q ∈ {-1, +1}.

Applications: Wi-Fi, LTE, DVB-S, cable modems, satellite links.