Modified Cramer-Rao lower bound for symbol width estimation from a phase-shift-keying signal
The modified Cramer-Rao lower bound（MCRB） on symbol width estimation of a phase-shift-keying signal was derived.When calculating the integration of the square of dirac delta function δ（t ）, Parseval’s theorem was used to transform the computation from time-domain to frequency-domain.Then the closed-...
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| Format: | Article |
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Editorial Department of Journal on Communications
2009-01-01
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| Series: | Tongxin xuebao |
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| Online Access: | http://www.joconline.com.cn/zh/article/74651433/ |
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| author | DENG Zhen-miao LIU Yu |
| author_facet | DENG Zhen-miao LIU Yu |
| author_sort | DENG Zhen-miao |
| collection | DOAJ |
| description | The modified Cramer-Rao lower bound（MCRB） on symbol width estimation of a phase-shift-keying signal was derived.When calculating the integration of the square of dirac delta function δ（t ）, Parseval’s theorem was used to transform the computation from time-domain to frequency-domain.Then the closed-form analytical solution of MCRB for symbol width estimation was derived when the pulse shaping function was the rectangle pulse.However when the pulse shaping function was the raised cosine（RC） pulse, the MCRB is evaluated by numerical simulation.The results show that the MCRB of rectangle pulse shape is higher than that of RC pulse with the roll-off factor to be 0.5 and the dif-ference was about 1 dB. |
| format | Article |
| id | doaj-art-aa9ba0081e8d40db8e71649d41058f70 |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2009-01-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-aa9ba0081e8d40db8e71649d41058f702025-01-14T08:28:28ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2009-01-013011712174651433Modified Cramer-Rao lower bound for symbol width estimation from a phase-shift-keying signalDENG Zhen-miaoLIU YuThe modified Cramer-Rao lower bound（MCRB） on symbol width estimation of a phase-shift-keying signal was derived.When calculating the integration of the square of dirac delta function δ（t ）, Parseval’s theorem was used to transform the computation from time-domain to frequency-domain.Then the closed-form analytical solution of MCRB for symbol width estimation was derived when the pulse shaping function was the rectangle pulse.However when the pulse shaping function was the raised cosine（RC） pulse, the MCRB is evaluated by numerical simulation.The results show that the MCRB of rectangle pulse shape is higher than that of RC pulse with the roll-off factor to be 0.5 and the dif-ference was about 1 dB.http://www.joconline.com.cn/zh/article/74651433/modified Cramer-Rao lower boundsymbol widthphase-shift-keyingpulse shaping function |
| spellingShingle | DENG Zhen-miao LIU Yu Modified Cramer-Rao lower bound for symbol width estimation from a phase-shift-keying signal Tongxin xuebao modified Cramer-Rao lower bound symbol width phase-shift-keying pulse shaping function |
| title | Modified Cramer-Rao lower bound for symbol width estimation from a phase-shift-keying signal |
| title_full | Modified Cramer-Rao lower bound for symbol width estimation from a phase-shift-keying signal |
| title_fullStr | Modified Cramer-Rao lower bound for symbol width estimation from a phase-shift-keying signal |
| title_full_unstemmed | Modified Cramer-Rao lower bound for symbol width estimation from a phase-shift-keying signal |
| title_short | Modified Cramer-Rao lower bound for symbol width estimation from a phase-shift-keying signal |
| title_sort | modified cramer rao lower bound for symbol width estimation from a phase shift keying signal |
| topic | modified Cramer-Rao lower bound symbol width phase-shift-keying pulse shaping function |
| url | http://www.joconline.com.cn/zh/article/74651433/ |
| work_keys_str_mv | AT dengzhenmiao modifiedcramerraolowerboundforsymbolwidthestimationfromaphaseshiftkeyingsignal AT liuyu modifiedcramerraolowerboundforsymbolwidthestimationfromaphaseshiftkeyingsignal |