Description
A block code over the real or complex numbers, called a real RS or complex RS (CRS) code respectively, whose encoding generalizes the RS code encoding over finite fields.Decoding
Syndrome repairing (SR) decoder [3].Notes
CRS codes are useful for compressed sensing [4,5].CRS codes are potentially useful for Orthogonal Frequency-Division Multiplexing (OFDM) [6].Cousin
- Reed-Solomon (RS) code— Analog RS codes are versions of RS codes over the real and complex numbers.
Member of code lists
Primary Hierarchy
Parents
Analog RS code
References
- [1]
- J. Wolf, “Redundancy, the Discrete Fourier Transform, and Impulse Noise Cancellation”, IEEE Transactions on Communications 31, 458 (1983) DOI
- [2]
- T. Marshall, “Coding of Real-Number Sequences for Error Correction: A Digital Signal Processing Problem”, IEEE Journal on Selected Areas in Communications 2, 381 (1984) DOI
- [3]
- F. N. Hu, W. Henkel, and M. J. Zhao, “Analog Codes for Gross Error Correction in Signal Transmission”, Advanced Materials Research 341–342, 514 (2011) DOI
- [4]
- F. Parvaresh and B. Hassibi, “Explicit measurements with almost optimal thresholds for compressed sensing”, 2008 IEEE International Conference on Acoustics, Speech and Signal Processing 3853 (2008) DOI
- [5]
- M. Mohamed, S. Rizkalla, H. Zoerlein and M. Bossert, "Deterministic Compressed Sensing with Power Decoding for Complex Reed-Solomon Codes," SCC 2015; 10th International ITG Conference on Systems, Communications and Coding, Hamburg, Germany, 2015, pp. 1-6.
- [6]
- Henkel, W. (2000). Analog codes for peak-to-average ratio reduction. ITG FACHBERICHT, 151-156.
Page edit log
- Victor V. Albert (2025-01-10) — most recent
Cite as:
“Analog RS code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/analog_reed_solomon