### Create a StudySoup account

#### Be part of our community, it's free to join!

Already have a StudySoup account? Login here

# Digital Commun Thry EECS 555

UM

GPA 3.8

### View Full Document

## 11

## 0

## Popular in Course

## Popular in Engineering Computer Science

This 42 page Class Notes was uploaded by Ophelia Ritchie on Thursday October 29, 2015. The Class Notes belongs to EECS 555 at University of Michigan taught by Staff in Fall. Since its upload, it has received 11 views. For similar materials see /class/231557/eecs-555-university-of-michigan in Engineering Computer Science at University of Michigan.

## Reviews for Digital Commun Thry

### What is Karma?

#### Karma is the currency of StudySoup.

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 10/29/15

Space Time Coding for DS CDMA iitya Ma ajan Ravi yarwd EECS 555 Digital Communication Theory April 29 2004 Aditya Mahajan Ravi Agarwal Space Time Coding for DS CDMA Outline 0 Multiple Antenna Downljnk Schemes 9 Space Time Spreading a Main Results of Hochwald et a1 2001 B Imperfect Channel Estimation 0 Single User 7 Multipath Components 0 Multiuser Interference 0 Effect of Number of users 0 Bounds as Compared to Actual Performance 6 Conclusion Aditya Mahajan Ravi Agarwal Space Time Coding for DS CDMA References Q B Hochwald T Marzetta and C Papadias A Transmitter Diversity Scheme for Wideband CDMA Systems Based on SpacerTime Spreading EBB 39v l Vol 19 New 1 Lindsay 2001 A J Viterbi CDMA Principles of Spread Spectrum Communication Prentice Hall PTR i7 Proposed TDCO 662 98 TO ETSI SMG2 UMTS standards Dec 1998 Space Time Block Coded Transmit Antenna Diversity Scheme for WCDMA V Tarokh H Jafarkhani and AR Calderbank Spacertime block codes from orthogonal design 7 m m r 39 39w Adita Mahaj RviAgarwal I t mi 1995 An Al F 7 Space Time Coding for DS CDMA Diversity Outline 0 Multiple Antenna Downljnk Schemes Aditya Mahajan Ravi Agarwal Space Time Single Antenna System Antenna 1 Km Ecltkgt s E ibkck 5 lde2 Eck 2 cTkr N Two Antenna System Antenna 2 Km l s2 Z M bltkgtcltkgt k1 h1bk cTkn 139 h11h22 cTkr N Lc k mmw d n Adnya Mahajan Ravi Agarwal Space Time Coding for DsCDMA 9 Diversity Two Distinct Spreading Codes for ch User Ku Antenna 1 s1 Z MEGS bkc1k k1 Ku Antenna 2 s2 Z 4 E020 bkczk k1 Received Signal r hlsl hzsz n Diversity 2 E k E y hicuk Maw NV Um MP me bkgt10 ybklt71 Aditya Mahajan Ravi Agarwal Space Time Coding for DS CDMA a Rate 1 code 0 Optimal tworfold diversity gain over single antenna case 3 Linear Complexity Receiver Aditya Mahajan Ravi Agarwal Space Time a Rate 1 code 0 Optimal tworfold diversity gain over single antenna case 0 Linear Complexity Receiver Disadvantages 0 Two code sequences per user Effective number of users halved Aditya Mahajan Ravi Agarwal Space Time Outline 9 Space Time Spreading Aditya Mahajan Ravi Agarwal Space Time Achieve tworfold diversity with rate 1 code without reducing the total number of users in the system Aditya Mahajan Ravi Agarwal Space Time Achieve tworfold diversity with rate 1 code without reducing the total number of users in the system SpacerTime Spreading STS Aditya Mahajan Ravi Agarwal Space Time Coding for DS CDMA Space Time Spreading K Eck Ant 1 s 47 b kc kb kc k enna 1 I 2 1 1 2 2 Ku Antenna 2 2 I www mcmk 7 101006200 RCVd Signal r 11151 11252 n wkW4WQWW mh4wm ww E k w yi2N4Um 2 h2 2bikm 110571 0 Diversity2 E H Aditya Mahajan Ravi Agarwal Space Time Coding for DS CDMA Outline B 1 1530 Practical Consideration o Synchronous system 0 Orthogonal Code Sequences 0 Frequency nonrselective fading no multipaths no inter ruser interference 0 Perfect channel estimates Aditya Mahajan Ravi Agarwal Space Time Coding for DS CDMA o Synchronous system 0 Orthogonal Code Sequences 0 Frequency nonrselective fading no multipaths no inter ruser interference 9 Perfect channel estimates 1 i v in i r 0 Frequency selective fading multipaths o Imperfect channel estimates mmw cal Considerations o Synchronous system 0 Orthogonal Code Sequences 0 Frequency nonrselective fading n0 multipaths n0 inter ruser interference 9 Perfect channel estimates Lu J r 0 Frequency selective fading multipaths o Imperfect channel estimates 0 With multipath components and no other user 0 With multipath components and other users 1 Main Results Willi CO 4 Lliilalmn 39lg u lliwb39 Outline a Main Results of Hochwald et a1 2001 B Imperfect Channel Estimation 0 Single User 7 Multipath Components Aditya Mahajan Ravi Agarwal Space Time Coding for DS CDMA Main Results tong Estimation Effect of Channel Estimation Error quot1 Probability of error for BPSK modulation vs expected message SNR for l 2 4 and 8 antennas where errors in estimating propagation coef cients are accounted for total pilot power is 10 dB M stronger than the toml message power for each 5 WWW m 39 user ie Ep lOEb apex umwu a m 1 AgNZMilij 2M44 1 r PE 4 45W F0 MPM 7 Fi in 715 EpEb Where 3 N0MN0M Ep Eb Aditya Mahajan Ravi Agarwal Space Time Coding for DS CDMA Main Results MU Cousins EsLIiiIatl n single user Effect of Multipath Singl er Probability of error for BPSK modulation vs expected message SNR for l and 2 transmit antennas in at fading and in multipath with perfect knowledge of fading coef cients Codes 1333 c1 and C2 are Walsh Rm z codes of length 128 and ZTXquotm 2Mquotg quotL delay between two paths 2 hw zswmm 2 39 is 10 chips 1 E 1 E P1 Re Q11g12 7b iQ RS 911912 717 gm Nogn 2 Nogn 2 1 Eb 1 Eb P 7 R If 7 Re 7 7 am 2 Sign 921 Nogm 2 Q 922 921 Nogm Aditya Mahajan Ravi Agarwal Space Time Coding for DS CDMA What is Missing 0 Accepted as optional diversity mode in release A of 1872000 wideband CDMA standard Aditya Mahajan Ravi Agarwal Space Time Coding for DS CDMA What is Missing 0 Accepted as optional diversity mode in release A of 1872000 wideband CDMA standard 9 Effect on performance of other user interference Aditya Mahajan Ravi Agarwal Space Time Coding for DS CDMA uni B Outline 0 Multiuser Interference 0 Effect of Number of users 0 Bounds as Compared to Actual Performance Aditya Mahajan Ravi Agarwal Space Time 0 Two transmit antennas 7 one receive antenna a J multipaths from each antenna a BPSK modulation 0 Each user is modulated using a random carrier phase a Coherent demodulation 0 Each path experiences independent Rayleigh fading Q Multipath delay an integral multiple of chip interval 9 Same set of delays from both transmit antennas G Intersymbol interference can be neglected uil nr Dir 2 39 r 5 Eu m aim Bound on Probability of Error EXP xEC1 111b11gt XPltP EC 1912lt1gtb2lt1gt b 1 7 1 P 1ltminE 1 gt77 9 Fgt0 K 2 E k h1h2 X H H exp ml Cg glikbik COS 9k exp 1711 k2 11 Aditya Mahajan Ravi Agarwal Space Time Coding for DS CDMA MUI ility of Error ound 39 a m LL32 0 Bound on Probab expmEcglg11lt1gtbllt1gtexpmEcz lgl2lt1gtb2lt1gt 1111 1 P lt minlE 7 9 7 Fgt0 K 2 Eck h1gt 12 X ikbik 9 g2gexp P 2 91 cos k exp P711 ECU ESXP ltPW 111b11gt eKP lt P gr U ESXP ltPW 121 1gt S eKP 1 Q121 gt 1ESXPltPW 1ikbikC S9kgt S Eexpltpn1gt exp p2gl1lt1gt 7 Aditya Mahajan Ravi Agarwal Space Time Coding for DS CDMA Round3 mummy Fixed Codeword for AllUsers 1E exp ltpr1Jkbik 305 g exp lti glyik2gt Aditya Mahajan Ravi Agarwal Space Time Coding for DS CDMA 1E exp ltpr1Jkbik 305 g exp lti glyik2gt 2 J J 2 hm hm E2 H2128 H 131 lt exp 7 171 171 11 9 EcOf 2 K m 2 g11ltkgtgt2ltgl2ltkgtgt2 No Adilya Mah Ravi Agarwal Space Time ng for DS CDMA 1E exp ltpr1Jkbik 305 g exp lti glyik2gt 2 J J 2 hm hm E2 H2128 H 131 lt exp 7 171 171 11 9 EcOf 2 K m 2 g11ltkgtgt2ltgl2ltkgtgt2 No Adilya Mah Ravi Agarwal Space Time ng for DS CDMA 1E exp ltpr1Jkbik 305 g exp lti glyik2gt 2 J J 2 hm hm E2 H2128 H 131 lt exp 7 171 171 11 9 EcOf 2 K m 2 g11ltkgtgt2ltgl2ltkgtgt2 No Adilya Mah Ravi Agarwal Space Time ng for DS CDMA 1E exp ltpr1Jkbik 305 g exp lti glyik2gt 2 J J 2 hm hm E2 H2128 H 131 lt exp 7 171 171 11 9 EcOf 2 K m 2 g11ltkgtgt2ltgl2ltkgtgt2 No Adilya Mah Ravi Agarwal Space Time ng for DS CDMA 1E exp ltpr1Jkbik 305 g exp lti glyik2gt 2 J J ltJahamgt lgt 17 2383 P lte E H xp 1 Kf ag ltkgtgt2ltg k2N Wl z 2 11 12 0 Ravi Agarwal Space Time ng for DS CDMA m w gunman Averaged over All Codewords J J 2 1Eexp ml Ec k 1ikbik0059kgt S exp wNQg hmhm 2 rimhm Aditya Mahajan Ravi Agarwal Space Time Coding for DS CDMA J J 2 1Eexp ml Ec k 1ikbik0059kgt S exp wNQg hmhm 2 rimhm 2 J J E 1 1 I nghlz g g ng li PE HSSXP 7 1 J 2 J 2 KuEM Adilya Mah Ravi Agarwal Space Time ng for DS CDMA J J 2 1Eexp ml Ec k 1ikbik0059kgt S exp wNQg hmhm 2 rimhm 2 J J E 1 1 I nghlz g g ng li PE HSSXP 7 1 J 2 J 2 KuEM Adilya Mah Ravi Agarwal Space Time ng for DS CDMA J J 2 1Eexp ml Ec k 1ikbik0059kgt S exp wNQg hmhm 2 rimhm 2 J J E 1 1 I nghlz g g ng li PE HSSXP 7 1 J 2 J 2 KuEM Adilya Mah Ravi Agarwal Space Time ng for DS CDMA J J 2 1Eexp ml Ec k 1ikbik0059kgt S exp wNQg hmhm 2 rimhm 2 J J E 1 1 I nghlz g g ng li PE HSSXP 7 1 J 2 J 2 KuEM Adilya Mah Ravi Agarwal Space Time ng for DS CDMA J J 2 1Eexp ml Ec k 1ikbik0059kgt S exp wNQg hmhm 2 rimhm 2 J J E 1 1 I nghlz g g ng li PE HSSXP 7 1 J 2 J 2 KuEM Adilya Mah Ravi Agarwal Space Time ng for DS CDMA MUI Bounds sinmlatimh 0 Users P vs SNR e 0 Fe vs SNRfor Ku l 0 Walsh Code of length 2N 128 O J 2 multipaths 0 Path delay 7 10 chips 0 Rayleigh fading 0 Perfect CSI available 0 1 2 3 4 5 6 7 8 9 SNRindB J J lt gt lt gt 2 E 1 1 2 2 b 9L 1 J39Z1hl j21h21 2 1 19111 PeIH g exp J J K LZh2 Z 2i Ebk N 2 jl 1Jjlhzj k2 2 O Aditya Mahajan Ravi Agarwal Space Time Coding for DSCDMA 5r MUI Bounds simulation Bound vs Performance Pe vs SNR 0 Fe vs SNR for Ku l and Ku 4 union bound for given set of codes and union bound averaged over all codes 0 Walsh Code of length 2N 128 0 J 2 multipaths 0 Path delay 7 10 chips 0 Rayleigh fading o 1 2 3 4 5 6 7 0 Perfect CSI available SNR in dB 2 9121 9111 J 2 J 2 Eblt1gt ZhlJJrjglrLZJ 2 1 1 PelH 3 exp Ku 2 Ec quot 91100 glzltkgtgt2gt N0 911 k2 Aditya Mahajan Ravi Agarwal Space Time Coding for DSCDMA 5r MUI Bounds simulation Bound vs Performance Pe vs SNR 0 Fe vs SNR for Ku l and Ku 16 union bound for given set of codes and union bound averaged over all codes overall 0 Walsh Code of length 2N 128 0 J 2 multipaths 0 Path delay 7 10 chips 0 Rayleigh fading 0 Perfect CSI available 3 4 SNR in dB 2 9121 9111 J 2 J 2 Eblt1gt ZhlJJrjglrLZJ 2 1 1 PelH 3 exp Ku 2 Ec quot 91100 glzltkgtgt2gt N0 911 k2 Aditya Mahajan Ravi Agarwal Space Time Coding for DSCDMA k A Conclusion Outline 6 Conclusion Aditya Mahajan Ravi Agarwal Space Time Conclusion i Conclusion Space Time Spreading 0 Provides optimal tworfold diversity 9 Rate 1 scheme 9 Requires linear complexity receiver 0 No extra spreading codes required 9 Acceptable performace in MAI Aditya Mahajan Ravi Agarwal Space Time Coding for DS CDMA Thank You Aditya Mahajan Ravi Agarwal Space Time Coding for DS CDMA

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

### You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

#### "I made $350 in just two days after posting my first study guide."

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

#### "Their 'Elite Notetakers' are making over $1,200/month in sales by creating high quality content that helps their classmates in a time of need."

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.