Symbol Error Probability of Time Spread PPM Signals in the Presence of Co-channel Interference

Jinsong DUAN; Ikuo OKA; Chikato FUJIWARA

Symbol Error Probability of Time Spread PPM Signals in the Presence of Co-channel Interference

Jinsong DUAN, Ikuo OKA, Chikato FUJIWARA

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Time spread (TS) pulse position modulation (PPM) signals have been proposed for CDMA applications, where the envelope detection is employed instead of coherent detection for easier synchronization of PPM. In this paper, a new method of deriving symbol error probability (SEP) of TS PPM signals in the presence of interference is introduced. The analysis is based on the moment technique. The maximum entropy criterion for estimating an unknown probability density function (PDF) from its moments is applied to the evaluation of PDF of envelope detector output. Numerical results of SEP are shown for 4, 8 and 16PPM in the practical range of signal-to-noise power ratio (SNR) and signal-to-interference power ratio (SIR) of 5, 10 and 20 dB. SEP by the union bound is also given for comparison. From the results it is noted that when PPM multilevel number is small, the union bound goes near to SEP by the proposed method, but when it increases the difference of the SEP by the bound and proposed method becomes larger. The effect of central frequency offset of TS-filter is evaluated as an illustrative example.

Publication: IEICE TRANSACTIONS on Communications Vol.E81-B No.1 pp.66-72

Publication Date: 1998/01/25

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Category: Communication Theory

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Jinsong DUAN, Ikuo OKA, Chikato FUJIWARA, "Symbol Error Probability of Time Spread PPM Signals in the Presence of Co-channel Interference" in IEICE TRANSACTIONS on Communications, vol. E81-B, no. 1, pp. 66-72, January 1998, doi: .
Abstract: Time spread (TS) pulse position modulation (PPM) signals have been proposed for CDMA applications, where the envelope detection is employed instead of coherent detection for easier synchronization of PPM. In this paper, a new method of deriving symbol error probability (SEP) of TS PPM signals in the presence of interference is introduced. The analysis is based on the moment technique. The maximum entropy criterion for estimating an unknown probability density function (PDF) from its moments is applied to the evaluation of PDF of envelope detector output. Numerical results of SEP are shown for 4, 8 and 16PPM in the practical range of signal-to-noise power ratio (SNR) and signal-to-interference power ratio (SIR) of 5, 10 and 20 dB. SEP by the union bound is also given for comparison. From the results it is noted that when PPM multilevel number is small, the union bound goes near to SEP by the proposed method, but when it increases the difference of the SEP by the bound and proposed method becomes larger. The effect of central frequency offset of TS-filter is evaluated as an illustrative example.
URL: https://globals.ieice.org/en_transactions/communications/10.1587/e81-b_1_66/_p

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@ARTICLE{e81-b_1_66,
author={Jinsong DUAN, Ikuo OKA, Chikato FUJIWARA, },
journal={IEICE TRANSACTIONS on Communications},
title={Symbol Error Probability of Time Spread PPM Signals in the Presence of Co-channel Interference},
year={1998},
volume={E81-B},
number={1},
pages={66-72},
abstract={Time spread (TS) pulse position modulation (PPM) signals have been proposed for CDMA applications, where the envelope detection is employed instead of coherent detection for easier synchronization of PPM. In this paper, a new method of deriving symbol error probability (SEP) of TS PPM signals in the presence of interference is introduced. The analysis is based on the moment technique. The maximum entropy criterion for estimating an unknown probability density function (PDF) from its moments is applied to the evaluation of PDF of envelope detector output. Numerical results of SEP are shown for 4, 8 and 16PPM in the practical range of signal-to-noise power ratio (SNR) and signal-to-interference power ratio (SIR) of 5, 10 and 20 dB. SEP by the union bound is also given for comparison. From the results it is noted that when PPM multilevel number is small, the union bound goes near to SEP by the proposed method, but when it increases the difference of the SEP by the bound and proposed method becomes larger. The effect of central frequency offset of TS-filter is evaluated as an illustrative example.},
keywords={},
doi={},
ISSN={},
month={January},}

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TY - JOUR
TI - Symbol Error Probability of Time Spread PPM Signals in the Presence of Co-channel Interference
T2 - IEICE TRANSACTIONS on Communications
SP - 66
EP - 72
AU - Jinsong DUAN
AU - Ikuo OKA
AU - Chikato FUJIWARA
PY - 1998
DO -
JO - IEICE TRANSACTIONS on Communications
SN -
VL - E81-B
IS - 1
JA - IEICE TRANSACTIONS on Communications
Y1 - January 1998
AB - Time spread (TS) pulse position modulation (PPM) signals have been proposed for CDMA applications, where the envelope detection is employed instead of coherent detection for easier synchronization of PPM. In this paper, a new method of deriving symbol error probability (SEP) of TS PPM signals in the presence of interference is introduced. The analysis is based on the moment technique. The maximum entropy criterion for estimating an unknown probability density function (PDF) from its moments is applied to the evaluation of PDF of envelope detector output. Numerical results of SEP are shown for 4, 8 and 16PPM in the practical range of signal-to-noise power ratio (SNR) and signal-to-interference power ratio (SIR) of 5, 10 and 20 dB. SEP by the union bound is also given for comparison. From the results it is noted that when PPM multilevel number is small, the union bound goes near to SEP by the proposed method, but when it increases the difference of the SEP by the bound and proposed method becomes larger. The effect of central frequency offset of TS-filter is evaluated as an illustrative example.
ER -