Waveform Diversity and MIMO Radar
Raviraj S. Adve
Edward S. Rogers Sr. Dept. of Elec. and Comp. Eng.
University of Toronto
10 King’s College Road
Toronto, ON, Canada M5S 3G4
d
Tel: (416) 946 7350
E-mail: rsadve@comm utoronto ca
E mail: rsadve@comm.utoronto.ca
IRSI’11 December 2011
Overview
• Radar basics and background
waveforms
– waveforms
•pulse compression
•ambiguity function
•ambiguity function
– phased array radars
– STAPSTAP
– target models
– early look at waveform diversity
early look at waveform diversity
IRSI’11 December 2011
Overview (2)
• MIMO Radar
– importance of diversity
– importance of diversity
– virtual array representation
– theoretical analyses
theoretical analyses
•target models
•diversity order
y
– STAP with distributed sensors
• MIMO and Waveform Diversityy
– MIMO ambiguity function
– waveform design
– fast-time & slow-time MIMO
IRSI’11 December 2011
I : Radar Basics
Single transmitter/receiver
Range = R
Transmitted signal :
Received signal
:
IRSI’11 December 2011
I.1: Radar Basics : Ideal
Ideal Transmitted Signal:
I
Issues:
• Noise
• Peak-to-average power
• Bandwidth
time
Ideal Received
Ideal Received
Signal
time
IRSI’11 December 2011
Radar Basics : Bandlimited Pulses
• Transmit a pulse (effectively) limited in time and
frequency e g
frequency, e.g.,
T
• Range resolution (∆R) proportional to T
∆
IRSI’11 December 2011
Radar Basics : Bandlimited Pulses (2)
Transmitted Signal:
Receiver
Receiver
Range
resolution
Range resolution inversely
proportional to bandwidth
IRSI’11 December 2011
Radar Basics : Bandlimited Pulses (3)
t t g t b fi di g th
i
• Matched filter: ;: gathers all energy in
t
• Detect target by finding the maximum of the output
t
D t
of the matched filter
target declared present if signal above some threshold
– target declared present if signal above some threshold
– target range from round-trip time
f th
• This is equivalent to pulse compression
• This is equivalent to pulse compression
– transmitted signal spread over long time
– receiver creates very narrow signal in time
– receiver creates very narrow signal in time
•range resolution inversely proportional to bandwidth
(∆R ≈ c/2B)
•improvement in resolution ≈ time-bandwidth product
IRSI’11 December 2011