61  Signal Processing Essentials

61.1 Overview

Signal processing is fundamental to IoT systems—it bridges the gap between continuous physical phenomena and discrete digital data that computers can process. This series covers the complete signal processing pipeline from analog sensor output to digital transmission.

Total Reading Time: ~60 minutes | Lab Time: 60-90 minutes


61.2 Chapter Series

61.2.1 1. Signal Processing Overview

⏱️ ~20 min | ⭐ Foundational

What You’ll Learn: - Why analog-to-digital conversion is necessary - The Nyquist sampling theorem - How to choose appropriate sampling rates - Common pitfalls: oversampling waste vs undersampling aliasing

Key Topics: Analog vs digital signals, ADC pipeline, Nyquist theorem, sampling strategy


61.2.2 2. Aliasing and ADC Resolution

⏱️ ~15 min | ⭐⭐ Intermediate

What You’ll Learn: - How undersampling causes aliasing distortion - Calculating required ADC resolution - Selecting ADC parameters (8-bit, 10-bit, 12-bit, 16-bit) - Implementing digital filters (median, moving average, low-pass)

Key Topics: Aliasing prevention, quantization levels, filter selection, ADC trade-offs


61.2.3 3. Voice and Audio Compression

⏱️ ~14 min | ⭐⭐⭐ Advanced

What You’ll Learn: - Toll quality baseline (64 kbps) - Companding (μ-law and A-law) for better SNR - Linear Predictive Coding (LPC) for 8-27× compression - Practical codec selection for IoT applications

Key Topics: Voice compression, companding, source-filter model, codec comparison


61.2.4 4. Sensor Dynamics and Linearization

⏱️ ~15 min | ⭐⭐⭐ Advanced

What You’ll Learn: - Why sensors don’t respond instantly (mass-spring-damper model) - Understanding step response and bandwidth - Matching sampling rate to sensor bandwidth - Linearizing non-linear sensors (thermistors, LDRs)

Key Topics: Sensor dynamics, step response, bandwidth matching, linearization methods


61.2.5 5. Signal Processing Labs

⏱️ 60-90 min | ⭐⭐ Practical

What You’ll Do: - Configure ESP32 ADC with different resolutions - Compare median vs moving average filters - Perform FFT frequency analysis - Design multi-stage filter pipelines

Key Topics: Hands-on ESP32 simulation, practical filtering, FFT analysis, pipeline design


61.3 Learning Path Recommendations

61.3.1 Beginner Path

  1. Start with Overview - understand the basics
  2. Read Aliasing and ADC - grasp quantization
  3. Do Labs Exercise 1-2 - hands-on ADC and filtering
  4. Skip voice compression and sensor dynamics until needed

61.3.2 Standard Path

  1. Read all chapters in order (1-4)
  2. Complete all labs (chapter 5)
  3. Total time: ~3 hours including hands-on

61.3.3 Advanced Path

  1. Skim chapters 1-2 (review basics)
  2. Deep dive into chapters 3-4 (voice, sensor dynamics)
  3. Complete all labs
  4. Extend labs with custom projects

61.4 Prerequisites

Before starting this series, you should understand:

61.6 Quick Reference: Key Formulas

Nyquist Theorem: \[f_s > 2 \times f_{max}\]

ADC Resolution: \[\text{Step Size} = \frac{V_{ref}}{2^{bits} - 1}\]

Voltage from ADC: \[V = \text{ADC Value} \times \frac{V_{ref}}{2^{bits} - 1}\]

Companding (μ-law): \[F(x) = \text{sgn}(x) \cdot \frac{\ln(1 + \mu |x|)}{\ln(1 + \mu)}\]

Sensor Bandwidth: \[BW = \frac{1}{2\pi\tau}\]


61.7 Chapter Statistics

Chapter Words Reading Time Difficulty Lab Time
Overview ~3,500 20 min Foundational -
Aliasing & ADC ~2,800 15 min Intermediate -
Voice Compression ~2,500 14 min Advanced -
Sensor Dynamics ~2,000 15 min Advanced -
Labs ~2,700 10 min Practical 60-90 min
Total ~13,500 74 min Mixed 60-90 min

61.8 Start Learning

Ready to begin? Start with Signal Processing Overview →