Abstract
We study communication systems over band-limited Additive White Gaussian Noise (AWGN) channels in which the transmitter output is constrained to be symmetric binary (bi-polar). In this work we improve the original Ozarov-Wyner-Ziv (OWZ) lower bound on capacity by introducing new achievability schemes with two advantages over the studied OWZ scheme which is based on peak-power constrained pulse-amplitude modulation. Our schemes achieve a moderately improved information rate and do so with much less sign transitions of the binary signal. The gap between the known upper-bound based on spectral constrains of bi-polar signals and our achievable lower bound is reduced to 0.93 bits per Nyquist interval at high SNR.
Highlights
TVIWGVMFIH QSHYPEXMSR XIGLRMUYIW ERH WMKREPMRK WXVEXIKMIWW]QFSPMRXIVJIVIRGI [LMGL HIQERHW LMKLIV GSQTPI\MX] HIXIG XMSR TVSGIHYVIW =IX RS TIEOTS[IV VIWXVMGXMSRW EVI MQTSWIH SR XLI VIWYPXERX XMQIGSRXMRYSYW TVSGIWW [LMGL MW E GIRXVEP TEVX MR SYV WGLIQI 8LMW MW QSXMZEXIH F] TVEGXMGEP GSRWXVEMRXW.
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SJ EREP]WMW MR ?A XS XLI RI[ WGLIQIW MR [LMGL XLI XVERWQMXXIH WMKREP MW E RSRPMRIEV JYRGXMSR SJ XLI MRJSVQEXMSR WIUYIRGI.
Summary
W]QFSPMRXIVJIVIRGI [LMGL HIQERHW LMKLIV GSQTPI\MX] HIXIG XMSR TVSGIHYVIW =IX RS TIEOTS[IV VIWXVMGXMSRW EVI MQTSWIH SR XLI VIWYPXERX XMQIGSRXMRYSYW TVSGIWW [LMGL MW E GIRXVEP TEVX MR SYV WGLIQI 8LMW MW QSXMZEXIH F] TVEGXMGEP GSRWXVEMRXW. SZIV ?A 8LI] EGLMIZI E QSHIVEXIP] MQTVSZIH MRJSVQEXMSR VEXI ERH HS WS [MXL QYGL JI[IV WMKR XVERWMXMSRW SJ XLI FMREV] WMKREP 8LI RI[ WGLIQIW VIUYMVI 786 SJ SRP] YT XS X[MGI XLI 2]UYMWX VEXI SJ XLI GLERRIP [LMPI ?A YWIW 786 QER] JSPHW LMKLIV XLER XLI 2]UYMWX VEXI MJ MQTPIQIRXIH JYPP] XLI 786 MR ?A MW. SJ EREP]WMW MR ?A XS XLI RI[ WGLIQIW MR [LMGL XLI XVERWQMXXIH WMKREP MW E RSRPMRIEV JYRGXMSR SJ XLI MRJSVQEXMSR WIUYIRGI.
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