Noise calibration, delay coherence and SNR walls for ...sahai/Presentations/DelayCoherenceDySpAN08.pdfNoise calibration: cyclostationary feature detection AGC calibration: Yb[n] =
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Noise calibration, delay coherence and SNR walls forsignal detection
Rahul Tandra Anant Sahai
Wireless Foundations CenterDepartment of Electrical Engineering and Computer Sciences
University of California, Berkeley
15th October, DySpAN 2008
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Problem setup
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Spectrum sensing: traditional picture
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Spectrum sensing: traditional picture
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Spectrum sensing: traditional picture
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Spectrum sensing: noise uncertainty
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Spectrum sensing: noise uncertainty
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Spectrum sensing: noise uncertainty
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Spectrum sensing: SNR walls
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Impact of SNR walls — sensing overhead
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Narrowband pilot signals
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Narrowband pilot signals
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Narrowband pilot signals
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Cyclostationary signals
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Cyclostationary feature detection
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Cyclostationary feature detection
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Cyclostationary feature detection
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Feature detection: single-tap Gauss-Markov fading
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Feature detection: single-tap Gauss-Markov fading
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Feature detection: single-tap Gauss-Markov fading
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Feature detection: multi-tap Gauss-Markov fading
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Feature detection: multi-tap Gauss-Markov fading
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Feature detection: multi-tap Gauss-Markov fading
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Feature detection: finite-delay fading process
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Feature detection: finite-delay fading process
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Phase coherence vs Delay coherence
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Phase coherence vs Delay coherence
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Phase coherence vs Delay coherence
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Phase coherence vs Delay coherence
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Noise calibration: pilot case
fp
Pilot
f
fp fm
f
Band pass filters
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Noise calibration: cyclostationary feature detection
AGC calibration:
Y [n] =1√
1N
∑Nn=1 |Y [n]|2
Y [n]
As N →∞
1√1N
∑Nn=1 |Y [n]|2
→
{1σa
Under H01√P+σ2
a
Under H1
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Robustness gains from noise calibration
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Robustness gains from noise calibration
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
Robustness gains from noise calibration
Colored noise model:
W [n] = M [n]− βM [n− 1],
M [n] is iid white Gaussian noise, β ∈ [0, βmax].
UC Berkeley Wireless Foundations Rahul Tandra, Anant Sahai
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