BER minimized OFDM systems with channel independent precoders
We consider the minimization of uncoded bit error rate (BER) for the orthogonal frequency division multiplexing (OFDM) system with an orthogonal precoder. We analyze the BER performance of precoded OFDM systems with zero forcing and minimum mean squared error (MMSE) receivers. In the case of MMSE re...
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| Vydáno v: | IEEE transactions on signal processing Ročník 51; číslo 9; s. 2369 - 2380 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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New York, NY
IEEE
01.09.2003
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 1053-587X, 1941-0476 |
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| Abstract | We consider the minimization of uncoded bit error rate (BER) for the orthogonal frequency division multiplexing (OFDM) system with an orthogonal precoder. We analyze the BER performance of precoded OFDM systems with zero forcing and minimum mean squared error (MMSE) receivers. In the case of MMSE receivers, we show that for quadrature phase shift keying (QPSK), there exists a class of optimal precoders that are channel independent. Examples of this class include the discrete Fourier transform (DFT) matrix and the Hadamard matrix. When the precoder is the DFT matrix, the resulting optimal transceiver becomes the single carrier system with cyclic prefix (SC-CP) system. We also show that the worst solution corresponds to the conventional OFDM system; the conventional OFDM system has the largest BER. In the case of zero forcing receivers, the design of optimal transceiver depends on the signal-to-noise ratio (SNR). For higher SNR, solutions of optimal precoders are the same as those of MMSE receivers. |
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| AbstractList | We consider the minimization of uncoded bit error rate (BER) for the orthogonal frequency division multiplexing (OFDM) system with an orthogonal precoder. We analyze the BER performance of precoded OFDM systems with zero forcing and minimum mean squared error (MMSE) receivers. In the case of MMSE receivers, we show that for quadrature phase shift keying (QPSK), there exists a class of optimal precoders that are channel independent. Examples of this class include the discrete Fourier transform (DFT) matrix and the Hadamard matrix. When the precoder is the DFT matrix, the resulting optimal transceiver becomes the single carrier system with cyclic prefix (SC-CP) system. We also show that the worst solution corresponds to the conventional OFDM system; the conventional OFDM system has the largest BER. In the case of zero forcing receivers, the design of optimal transceiver depends on the signal-to-noise ratio (SNR). For higher SNR, solutions of optimal precoders are the same as those of MMSE receivers. Examples of this class include the discrete Fourier transform (DFT) matrix and the Hadamard matrix. |
| Author | See-May Phoong Yuan-Pei Lin |
| Author_xml | – sequence: 1 givenname: Yuan-Pei surname: LIN fullname: LIN, Yuan-Pei organization: Department Electrical and Control Engineering, National Chiao Tung University, Hsinchu, Taiwan, Province of China – sequence: 2 givenname: See-May surname: PHOONG fullname: PHOONG, See-May organization: Department of Electrical Engineering and Graduate Institute of Communication Engineering, National Taiwan University, Taipei, Taiwan, Province of China |
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| Keywords | OFDM single carrier Bit error rate Multicarrier Discrete Fourier transformation Frequency division multiplexing Information transmission Optimization Transceiver Quadrature phase shift keying Hadamard matrix Coding BER optimal multicarrier Least mean squares methods Orthogonal frequency division multipleing precoded OFDM |
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| Snippet | We consider the minimization of uncoded bit error rate (BER) for the orthogonal frequency division multiplexing (OFDM) system with an orthogonal precoder. We... Examples of this class include the discrete Fourier transform (DFT) matrix and the Hadamard matrix. |
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| SubjectTerms | Applied sciences Bit error rate Channels Design engineering Digital audio broadcasting Digital video broadcasting Discrete Fourier transforms DSL Error analysis Exact sciences and technology Finite impulse response filter Fourier transforms OFDM modulation Optimization Orthogonal Frequency Division Multiplexing Quadrature phase shift keying Receivers Systems, networks and services of telecommunications Telecommunications Telecommunications and information theory Transceivers Transmission and modulation (techniques and equipments) Transmitters Wireless networks |
| Title | BER minimized OFDM systems with channel independent precoders |
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