ECEN5533 Modern Commo Theory Dr. George Scheets Lesson #23 12 November 2013. Read Section 6.4 – 6.5 Problems: 9.2, 9.4, 9.7, 6.2, 6.3 Reworked Quiz #2 due various dates Reworked Exam #2 due various dates Exam # 2 < 14 Nov (remote DL) Design #2, 14 Nov (local), < 21 Nov (remote DL).
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ECEN5533 Modern Commo Theory Dr. George Scheets Lesson #23 12 November 2013
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ECEN5533 Modern Commo TheoryDr. George Scheets Lesson #23 12 November 2013 • Read Section 6.4 – 6.5 • Problems: 9.2, 9.4, 9.7, 6.2, 6.3 • Reworked Quiz #2 due various dates • Reworked Exam #2 due various dates • Exam #2 < 14 Nov (remote DL) • Design #2, 14 Nov (local), < 21 Nov (remote DL)
ECEN5533 Modern Commo TheoryDr. George Scheets Lesson #24 14 November 2013 • Read Section 6.6 - 6.9, 7.1 • Problems: 5,8, 6.4, 6.5, 9.8, 9.9 • Reworked Quiz #2 due various dates • Reworked Exam #2 due various dates • Design #2, 14 Nov (local), < 21 Nov (remote DL)
ECEN5533 Modern Commo TheoryDr. George Scheets Lesson #25 19 November 2013 • Read Section 7.2 - 7.3 • Problems: 6.9, 6.11, 6.13, 7.1, 7.3 • Reworked Exam #2 due various dates • Design #2due < 21 Nov (remote DL) • Final Exam(Local) Thursday, 12 December, 0800-0950(Remote) on or before 19 December
ECEN5533 Modern Commo TheoryDr. George Scheets Lesson #26 21 November 2013 • Read Section 7.4 - 7.6, 12.1 • Problems 7.7, 7.10, 7.12, 7.16, 12.3 • Reworked Exam #2 due various dates • Design #2 due < 21 Nov (remote DL) • Late Fee = -1 point per working day • Final Exam(Local) Thursday, 12 December, 0800-0950(Remote) on or before 19 December
ECEN5533 Modern Commo TheoryDr. George Scheets Lesson #27 26 November 2013 • Read Section 12.2 - 12.4 • Problems 12.4, 12.9-12.11, 12.21 • Reworked Exam #2 due various dates • Reworked Design #2 due various dates • Comprehensive Final Exam (No Rework) • (Local) Thursday, 12 December, 0800-0950 • (Remote) on or before 19 December
ECEN5533 Modern Commo TheoryDr. George Scheets Lesson #28 3 December 2013 • Radar Problems (available online) • Reworked Design #2 due various dates • Comprehensive Final Exam (No Rework) • (Local) Thursday, 12 December, 0800-0950 • (Remote) on or before 19 December
Design #2: Digital Satellite RFP Lowest Working Bid$74.10 MillionStephen Swanson Promoted to Senior Engineer II at MegaMoron 16FSK @ 7.9 GHz (↑ in BW $, ↓ BER) 35-1 Compression, No FEC 2 orbital paths, 3 satellites/path, 7246 miles 12x12 RCVR & 2x2 XMTR sat antenna 9 dB margin Moved $$ to satellites: Earth units $376.85 MegaMoron
BER for Coherent Orthogonal M-FSK • As M = 2k ↑, BER ↓ • BW required ↑ • For M-ASK, M-PSK or M-QAM • As M = 2k ↑, BER ↑ • BW stays same… • If Baud rate unchanged Image Source: Bernard Sklar's Digital Communcations
Bit Error Rate Unsatisfactory? • System designer has several options: • Use FEC codes • Increase received signal power • Use more effective modulation technique • Best for baseband: + & - square pulses • Best for RFBinary system? PSKM-Ary system? QPSK or QAM • Slow down the transmitted message symbol rate • Decrease receiver Tsystem
Rate 1/2 Turbo Coder • uk (data) & vk (parity bits) are transmitted to far side • vk = v1k 1/2 of the time & v2k other half Source: Figure 8.26 from Sklar's Digital Communications
Rate 1/2 Turbo Decoder ← Matched Filter • xk (corrupted data) & yk (corrupted parity bits) • yk = y1k 1/2 of the time & y2k other half ← Matched Filter Source: Figure 8.27 from Sklar's Digital Communications
Rate 1/2 Turbo Coding Performance • P(data bit error) = 0.00001 when Eb/No = 0.2 dB & 18 reps • P(bit error) = 0.07395 for BPSK when Eb/No = 0.2 dB Source: Figure 8.28 from Sklar's Digital Communications
Performance Improved Performance • Uncoded BPSK • Hard coded Block or Convolutional BPSK • Soft coded Convolutional BPSK • 2 dB increase in effective Eb/No Compared to Hard Convolutional Decoding • Turbo Coded BPSK • Big time increase in effective Eb/No • Can get you close to Shannon Limit • All of above require an increase in the bit rate • Need more bandwidth, or go M-Ary • Trellis Coded Modulation • 3 db – 6 dB increase in effective Eb/No • Doesn't require an increase in bit rate
Spread Spectrum • Direct Sequence • Frequency Hopping • Advantages: • Interference Suppression • Privacy • Multipath Effects are Reduced • Code Division Multiple Access • Disadvantages: • Hardware More Complex
DSSS - Transmit Side +1 Traffic (9 Kbps) time -1 Spreading Signal 27 Kcps +1 +1 +1 time -1 -1 -1 +1 +1 +1 +1 time Transmitted Signal 27 Kcps -1 -1
Wireless X 27 Kcps Square Pulses RF Transmitter BPSK output 27 Kcps 90% of power in 54 KHz BW centered at fc Hertz cos(2πfct) RCVR Front End BPSK input 27 Kcps + noise Low Pass Filter 27 Kcps Square Pulses + filtered noise X cos(2πfct)
+1 +1 +1 +1 time Received Signal 27 Kcps -1 -1 Despreading Signal 27 Kcps +1 +1 +1 time -1 -1 -1 Recovered Traffic 9 Kbps +1 time DSSS-Receiver -1
DSSS Receiver • If the proper source is transmitting... • ...and the receiver has the correct despread sequence... • ...and the sequence is properly synchronized... • ...the original message is recovered.
DSSS Receiver • If another source is transmitting... • ...the receiver will have the wrong despread sequence... • ...and the output will be garbage.
+1 +1 +1 -1 -1 Received Signal #2 27 Kcps +1 +1 +1 time +1 -1 Despreading Signal 27 Kcps +1 +1 +1 time DSSS-Receiver -1 -1 -1 Recovered Garbage from 2nd signal +1 +1 time
+1 +1 -1 -1 Recovered Garbage at 2nd receiver +1 +1 time +1 +1 Receiver Matched Filter Detector time Message Output is a random sequence of 0’s & 1’s
DSSS Receiver • If both sources are transmitting... • ...the bit detector will be fed the sum of the results.
+2 -2 +1 +2 +1 -1 -1 +1 Recovered Traffic 9 Kbps time -1 Recovered Garbage from 2nd signal +1 +1 time Input to Matched Filter Detector (sum) time DSSS-Receiver
+2 -2 +2 Input to Matched Filter Detector (sum) time TBit Receiver Matched Filter Detector Output +1 time -1 Additional signals transmitting at the same time increase the apparent noise seen by our system. Message BER will increase.
Different channels use all of the bandwidth all of the time. CDMA frequency Channels use different codes. Other channels cause noise-like interference. time
CDMA: 3D View frequency code #3 code #2 code #1 time
CDMA vs FDMA • Example) Given 10 MHz Channel & Coding Gain of 1,000 • CDMA will support 75 users • FDMA will support 900 users • All things being equal...Power Out, Path Loss, Antenna Gains, etc. • In real world, all things aren't always equal
CDMA vs FDMA (or TDMA) • Narrowband Noise • May knock out some FDMA or TDMA channels • Severe Multi-path Environment • May knock out some FDMA channels • Easier to add users • Transmit with different code (CDMA) • Must find empty time slot or frequency band • Easier to use Variable Rate Coder • Voice Coder with Silence Suppression • Doubles potential capacity
Radar Antenna XMTR Switch RCVR Same antenna normally used. Either Transmitter or Receiver connected at any time.
NO CODE CODING BER Performance at Jupiter Target BER: Imaging 5(10-3) Non-Imaging: 5(10-5) Command: 1(10-5) source: Science, Summer 1990
CODING Same System Configuration as at Jupiter CODING Slowed bit rate compared to Jupiter BER Performance at Saturn Target BER: Imaging 5(10-3) Non-Imaging: 5(10-5) Command: 1(10-5) source: Science, Summer 1990
CODING Reduced R Increased Aer Decreased Tsys compared to Saturn BER Performance at Uranus CODING Same System Configuration as at Saturn Target BER: Imaging 5(10-3) Non-Imaging: 5(10-5) Command: 1(10-5) source: Science, Summer 1990
CODING Same System Configuration as at Uranus CODING Reduced R Increased Aer Rebuilt antennas Additional coupling BER Performance at Neptune Target BER: Imaging 5(10-3) Non-Imaging: 5(10-5) Command: 1(10-5) source: Science, Summer 1990
MIMO • Used in latest Cell & Wireless LAN protocols • Potential Benefits • Steerable Beams • Increased antenna gain • Spatial Multiplexing • Transmit several signals over (ideally) independent paths • Increase usable BW • Spatial Diversity • Several Versions of XMTR signal received • Improves BER
MIMO antenna Belkin Wireless Pre-N Router F5D8230-4 source: http://www.pcmag.com/article2/0,1759,1822020,00.asp
MIMO Example λ/2 fc = 300 MHz λ = 1 meter Same signal fed to both antennas. Beam shoots out both sides at 90 degree angle. Directivity Strength
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