Lecture 2

Contents

Pre-read for Lecture 2

Motivation: Why Probability & Detection Theory Matter in IoT

1. The IoT Challenge

  • Billions of devices need to communicate — many are tiny sensors powered by batteries or energy harvesting.
  • Devices often transmit short bursts of data (temperature, motion, location).
  • Signals are weak and easily lost in noise or interference.
  • Energy efficiency is critical: devices must avoid wasting power while staying connected.

2. Where Detection Theory Fits

IoT devices constantly face decision problems:

  • Is there a signal or just noise?
  • Is the channel free or busy?
  • Is this data normal or an anomaly?

We model these as binary hypothesis tests:

  • H₀: nothing of interest (noise, idle channel, normal data)
  • H₁: something important (signal, busy channel, anomaly)

3. Examples in IoT

Wake-up Radios

  • A sensor node sleeps to save power.
  • It wakes only if a weak “wake-up signal” is detected.
  • Wrong decision → wasted energy (false alarm) or missed data (miss).

Spectrum Sensing

  • Devices share spectrum (e.g., LoRa, NB-IoT).
  • They must detect if a frequency band is free before transmitting.
  • Wrong decision → interference or underutilized spectrum.

Anomaly Detection

  • Smart homes, factories, and cities rely on sensor networks.
  • Detect if a sensor is malfunctioning or under attack.
  • Wrong decision → false alarms trigger unnecessary action, or real problems go unnoticed.

4. Why Probability is Essential

  • Noise and interference are random.
  • Device decisions can’t be deterministic — they must be based on probability.
  • Understanding false alarm vs. detection trade-offs is crucial for reliable IoT systems.

Takeaway:
Probability and detection theory aren’t abstract math — they’re the foundation of how IoT devices save energy, avoid interference, and stay reliable.