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1 Stanford University Department of Aeronautics and Astronautics Communication - Communication - 2 2 AA236A AA236A 24 October 2007 24 October 2007 James Cutler http://ssdl.stanford.edu/ Copyright 2007, Duplication of material for commercial without written permission is prohibited. Stanford University Department of Aeronautics and Astronautics Announcements Stanford University Department of Aeronautics and Astronautics Communication Subsystem

Lecture 10 2007 Handouts

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Stanford University Department of Aeronautics and Astronautics

Communication -Communication - 22AA236AAA236A

24 October 200724 October 2007

James Cutler 

http://ssdl.stanford.edu/

Copyright 2007, Duplication of material for commercial without written permission is

prohibited.

Stanford University Department of Aeronautics and Astronautics

Announcements

Stanford University Department of Aeronautics and Astronautics

Communication Subsystem

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Stanford University Department of Aeronautics and Astronautics

2m Band (140MHz)

Stanford University Department of Aeronautics and Astronautics

SatCom Bands

Table 13-12

Stanford University Department of Aeronautics and Astronautics

Other Interesting Bands

• We mentioned amateur bands.

 – Rules governing amateur use• For example, no encryption on data

 – It’s good to be a HAM (take the test, technician no code).

 – Need to have an amateur use

• Industrial, Scientific, and Medical (ISM) bands – 900 MHz, 1.8 GHz, 2.4 GHz, 5.8 GHz

 – Originally reserved internationally for non-commercial use of RF

 – Recently shared with license-free error-tolerant communicationsapplications (ie wireless LANs)

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Stanford University Department of Aeronautics and Astronautics

Bandwidth (BW)

• In networking:

 – Bandwidth is the data rate. – How fast can we move bits? 100

Mbps, 1Gbps.

• In radio communication:

 – BW is the amount of spectrum usedto transmit data.

 – What is the frequency range of your carrier signal?

• Fast signals have high bandwidth

• Slow signals have low bandwidth

http://en.wikipedia.org/wiki/Image:Bandwidth.svg

Stanford University Department of Aeronautics and Astronautics

Spectrum Analyzer and Bandwidth

http://www.projects.ncassr.org/sdr/spectrum_analyzer/index.html

Stanford University Department of Aeronautics and Astronautics

RF Channel Capacity

• Is there a limit to how much we can send?

 – YES! – Claude Shannon, 1948

 – Invention of information theory

http://en.wikipedia.org/wiki/Shannons_theory

 –“A Mathematical Theory of Communication”, Bell System Journal,

1948

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Stanford University Department of Aeronautics and Astronautics

Shannon Capacity

• C – channel capacity (bps)

• B – bandwidth in HZ

• S – signal power over bandwidth

• N – noise power over bandwidth

)1(log2 N 

 BC  W +=

http://www.st-andrews.ac.uk/~www_pa/Scots_Guide/iandm/part8/page1.html

Stanford University Department of Aeronautics and Astronautics

Example 1

• Voice channel – telephony

 – Bandwidth = 3.3KHz

 – SNR is 100 ( in dB? )

 Kbps97.21)1001(log3300 2 =+

Stanford University Department of Aeronautics and Astronautics

Example 2

• DSL

 – Bandwidth ~ 1MHz

 – SNR is 20dB

Mbps6.6)1001(log10 2

6=+

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Stanford University Department of Aeronautics and Astronautics

Communication Subsystem

Stanford University Department of Aeronautics and Astronautics

AM – Amplitude Modulation

Stanford University Department of Aeronautics and Astronautics

Digital Modulation Techniques

• OOK - On/Off Keying

• PSK - Phase Shift Keying

• FSK - Frequency Shift Keying• MSK - Minimum Shift Keying

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Stanford University Department of Aeronautics and Astronautics

QPSK Encoder Example

Stanford University Department of Aeronautics and Astronautics

FM – Frequency Modulation

Stanford University Department of Aeronautics and Astronautics

FSK – Frequency Shift Keying

1 0 1 0 1 0

 f c1   f c2

BW = ~2R 

http://www-personal.engin.umd.umich.edu/~richarpc/ch2_5_modems.ppt

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Stanford University Department of Aeronautics and Astronautics

Communication Subsystem

How much data?

Stanford University Department of Aeronautics and Astronautics

Common Parameters

• Bandwidth of the channel (Hz)

• Signal Power 

• Noise Power 

SNR RkT 

G L LG PL

 N 

 E 

 s

r a st l 

o

b==

The Link Equation

 

 E b"  N 

o= P + L

l +G

t + L

s+ L

a+G

r+ 228.6 "10logT 

s"10log R

)1(log2 N 

S  BC W 

+=

Stanford University Department of Aeronautics and Astronautics

How good is our communication system?

• We can estimate and measure SNR.

 – But this is analog

 – What does this mean in the digital world?

• What is the bit error rate (BER)?

 – How often do we see errors in our data?

 – Combine SNR, noise model, modulation, and forward error correction to getBER.

• Typical BER

 – Good link: 10-9 or 10-10

 – Let’s say we have 10-5

• 1 error every 100000 bits

• At 9600bps, that’s 1 error every 10s

• At 1200bps, that’s 1 error every 83s.

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Stanford University Department of Aeronautics and Astronautics

AA236 Guidelines

• Traditional use of FSK (AFSK/GMSK)

 – 1200 or 9600 bps

 – HAM radio compatible

• Antenna tuning and matching work

• Power constraints

 – 1W on satellite

• Link margin VERY VERY important for our missions

 – Balloon mission

 – 1U Cubesat, Katysat estimated on 3dB of margin

 – Link budget page empty

• Much room (and need) for innovation – Better antennas

 – Better radios/modems