Fast Decomposition of Digital Curves into Polygons Using the Haar Transform
IEEE Transactions on Pattern Analysis and Machine Intelligence
OFDM for Wireless Multimedia Communications
OFDM for Wireless Multimedia Communications
IEEE Transactions on Mobile Computing
BER minimized OFDM systems with channel independent precoders
IEEE Transactions on Signal Processing
IEEE Transactions on Wireless Communications
Design and analysis of post-coded OFDM systems
IEEE Transactions on Wireless Communications - Part 1
The convex geometry of subchannel attenuation coefficients in linearly precoded OFDM systems
IEEE Transactions on Information Theory
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The performance of OFDM systems may be degraded when intersymbol interference (ISI) channels have spectral nulls. The communication overhead because of the insertion of the cyclic prefix is high when ISI channels have many taps. Recently, the precoded OFDM systems and vector OFDM (VOFDM) systems were proposed to combat these two problems, respectively. This paper proposes a novel vector binary phase-shift keying (BPSK)–OFDM system based on Haar wavelet transformation. The Haar wavelet transformation performs decomposition over the vector information symbols produced by a BPSK modulator. It shows that half of the information symbols are zero and the rest are * or *. Then, the vector BPSK–OFDM becomes the precoded OFDM, which inserts one or more zeros between two sets of K consecutive information symbols. This precoding scheme is able to remove the spectral nulls of an ISI channel without knowing the ISI (like conventional precoded OFDM systems), and it has the same cyclic prefix length as VOFDM systems. The proposed OFDM systems show better robustness to the spectral nulls channel, compared with the conventional VOFDM systems. Because of the insertion of (M −K) zeros between two sets of K consecutive information symbols, the conventional precoded OFDM systems have the data rate expanded and signal-to-noise power ratio reduced by 10 log 10(M∕K) dB compared with the proposed OFDM systems. Moreover, because half of the information symbols are zeros after Haar wavelet transformation, the proposed OFDM system can further reduce the transmitting peak-to-average power ratio. Finally, we compare the proposed OFDM systems with the precoded OFDM and VOFDM systems. Copyright © 2011 John Wiley & Sons, Ltd.