S. Mandayam/ ECOMMS/ECE Dept./Rowan University
Electrical Electrical Communications SystemsCommunications Systems
ECE.09.331ECE.09.331 Spring 2010Spring 2010
Shreekanth MandayamECE Department
Rowan University
http://engineering.rowan.edu/~shreek/spring10/ecomms/
Lecture 8aLecture 8aMarch 9, 2010March 9, 2010
S. Mandayam/ ECOMMS/ECE Dept./Rowan University
PlanPlan• SSB Modulation
• Angle Modulation Systems• Definitions - Phase and Frequency Modulation
• Complex Envelope• Time Domain
• Analyzing FM Signals - Battle Plan!!!!
Signals SystemsTime DomainComplex EnvelopeSpectrumPower
PerformanceTransmittersReceiversStandards
Modulation IndexEfficiencyBandwidthNoise
S. Mandayam/ ECOMMS/ECE Dept./Rowan University
ECOMMS: TopicsECOMMS: Topics
Probability
Inform ation
Entropy
Channel Capacity
Discrete
Pow er & Energy Signals
Continuous Fourier Transform
Discrete Fourier Transform
Baseband and Bandpass Signals
Com plex Envelope
Gaussian Noise & SNR
Random VariablesNoise Calculations
Continuous
Signals
AMSw itching M odulator
Envelop Detector
DSB-S CProduct M odulatorCoherent Detector
Costas Loop
SSBW eaver's MethodPhasing M ethod
Frequency M ethod
Frequency & Phase M odulationNarrowband/WidebandVCO & Slope Detector
PLL
Analog
Source EncodingHuffm an codes
Error-control EncodingHam m ing Codes
Sam plingPAM
QuantizationPCM
Line Encoding
Tim e Division M uxT1 (DS1) Standards
Packet Sw itchingEthernet
ISO 7-Layer Protocol
BasebandCODEC
ASKPSKFSK
BPSK
QPSK
M -ary PSK
QAM
BandpassM ODEM
DigitalDigital Com m Transceiver
Systems
Electrical Comm unication Systems
S. Mandayam/ ECOMMS/ECE Dept./Rowan University
Single Sideband (SSB) Single Sideband (SSB) ModulationModulation
• Recall: DSB-SC Spectrum
• USSB - Signal with zero-valued spectrum for |f| < fc
• LSSB - Signal with zero-valued spectrum for |f| > fc
-fc-B -fc -fc+B 0 fc-B fc fc+B
|S(f)|
f
S. Mandayam/ ECOMMS/ECE Dept./Rowan University
The Hilbert TransformThe Hilbert Transform
-1
-0.5
0
0.5
1
1.5
0 1 2 3 4 5 6 7
time, t in sec
(t)w(t)w » t=0:0.1:2*pi;» w=sin(t);» plot(t,w)» holdCurrent plot held» H=hilbert(w);» plot(t,imag(H),'r');» xlabel('time, t in sec')
S. Mandayam/ ECOMMS/ECE Dept./Rowan University
SSB GenerationSSB Generation
ProductModulator
Carrier -90o
Phase Shift
ProductModulator
-90o
Phase Shift
m(t)
s(t)
SidebandFilter
Carrier
ProductModulator
m(t) s(t)
Phasing Method
Filter Method
S. Mandayam/ ECOMMS/ECE Dept./Rowan University
SSB Generation: SSB Generation: Weaver’s MethodWeaver’s Method
S. Mandayam/ ECOMMS/ECE Dept./Rowan University
ECOMMS: Topics
Probability
Inform ation
Entropy
Channel Capacity
Discrete
Pow er & Energy Signals
Continuous Fourier Transform
Discrete Fourier Transform
Baseband and Bandpass Signals
Com plex Envelope
Gaussian Noise & SNR
Random VariablesNoise Calculations
Continuous
Signals
AMSw itching M odulator
Envelop Detector
DSB-S CProduct M odulatorCoherent Detector
Costas Loop
SSBW eaver's MethodPhasing M ethod
Frequency M ethod
Frequency & Phase M odulationNarrowband/WidebandVCO & Slope Detector
PLL
Analog
Source EncodingHuffm an codes
Error-control EncodingHam m ing Codes
Sam plingPAM
QuantizationPCM
Line Encoding
Tim e Division M uxT1 (DS1) Standards
Packet Sw itchingEthernet
ISO 7-Layer Protocol
BasebandCODEC
ASKPSKFSK
BPSK
QPSK
M -ary PSK
QAM
BandpassM ODEM
DigitalDigital Com m Transceiver
Systems
Electrical Comm unication Systems
S. Mandayam/ ECOMMS/ECE Dept./Rowan University
Angle Modulation Systems
• Signal Representation• Complex Envelope• Time Domain Representation
• Terminology• Phase Sensitivity• Frequency Deviation• Instantaneous Frequency• Phase & Frequency Modulation Indices
Phase Modulation (PM) Frequency Modulation(FM)
Matlab Demo:anglemod.m
Instrument Demo
S. Mandayam/ ECOMMS/ECE Dept./Rowan University
Angle Modulation Systems
• Signal Representation• Complex Envelope• Time Domain Representation
• Terminology• Phase Sensitivity• Frequency Deviation• Instantaneous Frequency• Phase & Frequency Modulation Indices
Phase Modulation (PM) Frequency Modulation(FM)
Matlab Demo:anglemod.m
Instrument Demo
S. Mandayam/ ECOMMS/ECE Dept./Rowan University
Analyzing FM Signals - Battle Plan!!!Instrument Demo
Signals SystemsTime Domain
Complex Envelope
Spectrum• Single-tone FM
• Narrowband FM• Wideband FM
• Bessel FunctionsPower
Performance
Transmitters
Receivers
Standards
Modulation Index
Efficiency
Bandwidth
Noise
S. Mandayam/ ECOMMS/ECE Dept./Rowan University
SummarySummary