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What is the difference between PSK (Phase Shift Keying) and QPSK (Quadrature Phase Shift Keying)? Doesn't PSK need quadrature component for its working?

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QPSK modulation is a PSK modulation with exactly 4 constellation points. The constellation points for QPSK are normally at $\left(\pm\dfrac{1}{\sqrt{2}}\pm\dfrac{1}{\sqrt{2}}j\right) $

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