Quadrature PSK (QPSK) code[1]
Alternative names: Quadriphase PSK code, 4-PSK code, 4-QAM code.
Description
A quaternary encoding into a constellation of four points distributed equidistantly on a circle. For the case of \(\pi/4\)-QPSK, the constellation is \(\{e^{\pm i\frac{\pi}{4}},e^{\pm i\frac{3\pi}{4}}\}\).Realizations
Japanese and North American digital cellular and personal systems [2].Telephone-line modems: 1962 Bell 201 and international standard V.24 [3].Cousin
- Linear code over \(\mathbb{Z}_4\)— The Lee distance \(d_L\) between two strings \(a,b\in\mathbb{Z}_4\) governs how many cyclic shifts it takes to connect the two strings, and is thus related to the Euclidean distance between \(i^a\) and \(i^b\) as \(2d_L(a,b) = \|i^a - i^b\|^2\). Quaternary codes over the Lee metric are thus naturally mapped to QPSK codes.
Primary Hierarchy
Parents
The QPSK is also known as 4-PSK.
Biorthogonal spherical codePolytope Lattice-shell Spherical design Sharp configuration Universally optimal \(t\)-design ECC
The QPSK is equivalent to the biorthogonal spherical code for \(n=2\).
Quadrature PSK (QPSK) code
References
- [1]
- P. A. Baker, “Phase-modulation data sets for serial transmission at 2,000 and 2,400 bits per second”, Transactions of the American Institute of Electrical Engineers, Part I: Communication and Electronics 81, 166 (1962) DOI
- [2]
- K. Feher, “Modems for emerging digital cellular-mobile radio system”, IEEE Transactions on Vehicular Technology 40, 355 (1991) DOI
- [3]
- International Telecommunication Union-T, Recommendation V.24: List of definitions for interchange circuits between data terminal equipment (DTE) and data circuit-terminating equipment (DCE), 1988
Page edit log
- Victor V. Albert (2022-11-07) — most recent
Cite as:
“Quadrature PSK (QPSK) code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/qpsk