Noise calibration, delay coherence and SNR walls for signal detection

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Noise calibration, delay coherence and SNR walls for signal detection

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signal detection. Rahul Tandra Anant ... Cyclostationary feature detection. UC Berkeley ... Feature detection: single-tap Gauss-Markov fading. UC Berkeley ...

Noise calibration, delay coherence and SNR walls for signal detection Rahul Tandra

Anant Sahai

Wireless Foundations Center Department 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 Pilot

f

fp

Band pass filters

fp UC Berkeley Wireless Foundations

fm

f Rahul Tandra, Anant Sahai

Noise calibration: cyclostationary feature detection

AGC calibration: Yb [n] = q

1 N

1 PN

Y [n]

2 n=1 |Y [n]|

As N → ∞ (

1 q

1 N

PN

n=1 |Y

→ [n]|2

UC Berkeley Wireless Foundations

1 σa 1 √ P +σa2

Under H0 Under H1

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