Robustness of LDPC codes on periodic fading channels

Jones, Christopher R.; Tian, Tao; Matache, A.; Wesel, Richard D.; Villasenor, John

doi:10.1109/glocom.2002.1188404

Cited by 20 publications

(8 citation statements)

References 7 publications

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“…Motivated by the reported success of using LDPC codes on a variety of low SNR time-varying channels [12], [13], we investigate the performance of the rate 1/4 b/1D LDPC base code of length 64,800 designed for the DVB-S2 standard [14] in our application. The worst-case MIMO channel for such an application is that yielding the most pronounced SNR variation within subcodewords.…”

Section: Dl-coding With Awgn Base Codesmentioning

confidence: 99%

Time-invariant rateless codes for MIMO channels

Shanechi

Erez

Boyle

et al. 2008

2008 IEEE International Symposium on Information Theory

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Abstract-Two time-invariant rateless code constructions are developed for efficient communication over multi-input multioutput (MIMO) Gaussian channels. Both architectures employ layering, dithering, and repetition as key ingredients, and convert the MIMO channel into a scalar channel to which classical Gaussian base codes can be applied. Both constructions are convolutionally structured-one is based on faster-than-Nyquist (ftN) signaling, while the other on a diagonal layering (DL) structure. Moreover, both employ successive cancellation decoding. We show that ftN rateless codes are asymptotically capacity achieving at any signal-to-noise ratio (SNR) and induce a time-invariant scalar channel. We also show that DL codes are capacity achieving at any SNR, and induce a particular time-varying scalar channel to which standard LDPC base codes can be applied without significantly sacrificing performance.

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Section: Dl-coding With Awgn Base Codesmentioning

confidence: 99%

Time-invariant rateless codes for MIMO channels

Shanechi

Erez

Boyle

et al. 2008

2008 IEEE International Symposium on Information Theory

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“…The MI of the channel , where scale factor is known at the receiver, can be expressed as (2) where and are independent (scalar) random variables. is the expectation that defines the average MI of this channel if is varying at the receiver.…”

Section: A Mutual Information For Periodic Scalar Fading Channelsmentioning

confidence: 99%

“…In the discussion that follows, a single code that can communicate reliably near the capacity of many different channels will be called "universal," a term introduced in [1], [2]. A proof of the existence of codes that exhibit this property was provided by Root and Varaiya in [3].…”

Section: Introductionmentioning

confidence: 99%

“…For periodic fading channels, trellis codes were developed in [12], universal serially concatenated turbo codes were developed in [13], and universal LDPC codes (the first appearance of the present work) were developed in [2]. Universal LDPC codes for PBJ and more generally for Gaussian [multiple-input multiple-output (MIMO)] channels were studied in [14].…”

Section: Introductionmentioning

confidence: 99%

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The Universal Operation of LDPC Codes Over Scalar Fading Channels

Jones

Tian²,

Villasenor³

et al. 2007

IEEE Trans. Commun.

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Abstract-Root and Varaiya proved the existence of a code that can communicate reliably over any linear Gaussian channel for which the channel mutual information level exceeds the transmitted rate. This paper provides several examples of scalar (single-input single-output) fading channels and shows that on these channels the performance of low-density parity-check (LDPC) codes lies in close proximity to the performance limits identified by Root and Varaiya. Specifically, we consider periodic fading channels and partial-band jamming (PBJ) channels. A special case of periodic fading is the variation of signal-to-noise ratio across orthogonal frequency division modulation subchannels. The robustness of LDPC codes to periodic fading and PBJ across parameterizations of these different channels is demonstrated through the consistency of the required mutual information to provide a specified bit error rate. For the periodic fading case, the Gaussian approximation to density evolution has been adapted such that asymptotic threshold measures can be compared to simulated code performance in various periodic fading scenarios.

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“…If no information is available at the encoder and the fading is faster, other recent work by [45] indicates that a properly designed LDPC might also be universal. That is, regardless of the fading, they show that the maximum achievable rate of an LDPC code is very close to the theoretical maximum achievable rate of any code.…”

Section: A Low-density Parity-check Codes and Siso Flat Fading Channelsmentioning

confidence: 99%

Broadband MIMO-OFDM wireless communications

et al. 2004

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Abstract-Orthogonal frequency division multiplexing (OFDM) is a popular method for high data rate wireless transmission. OFDM may be combined with antenna arrays at the transmitter and receiver to increase the diversity gain and/or to enhance the system capacity on time-variant and frequency-selective channels, resulting in a multiple-input multiple-output (MIMO) configuration. This paper explores various physical layer research challenges in MIMO-OFDM system design, including physical channel measurements and modelling, analog beam forming techniques using adaptive antenna arrays, space-time techniques for MIMO-OFDM, error control coding techniques, OFDM preamble and packet design, and signal processing algorithms used for performing time and frequency synchronization, channel estimation, and channel tracking in MIMO-OFDM systems. Finally, the paper considers a software radio implementation of MIMO-OFDM.

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Robustness of LDPC codes on periodic fading channels

Cited by 20 publications

References 7 publications

Time-invariant rateless codes for MIMO channels

Time-invariant rateless codes for MIMO channels

The Universal Operation of LDPC Codes Over Scalar Fading Channels

Broadband MIMO-OFDM wireless communications

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