Ontological Layer: Signal Paradigms
Analog & Digital
The Translation of Physical Reality
The Paradigm Shift
The universe is continuous; computation is discrete. This territory explores the fundamental bridge between the analog reality of physics and the digital abstraction of machines. It maps how continuous waves are sampled, quantized, encoded into binary, processed flawlessly, and reconstructed back into the physical world.
PHYSICAL WORLD →
CONTINUOUS SIGNAL →
SAMPLING →
QUANTIZATION →
BINARY ENCODING →
DIGITAL PROCESSING →
DECODING (DAC) →
PHYSICAL OUTPUT
The 12 Translation Nodes
Vertical Ontology: From Continuous Waves to Binary Logic
NODE 01
Signal Distinction
- Analog vs Digital Signals
- Continuous Value Representation
- Discrete State Representation
- Information Encoding Differences
Time & Amplitude
- Continuous-Time (CT) vs Discrete-Time (DT)
- Continuous-Amplitude vs Discrete-Amp
- The 4 Quadrants of Signals
- Sampled Analog vs Pure Digital
Signal Quantities
- Amplitude, Frequency & Phase
- Time Domain Characteristics
- Analog Waveform Properties
- Bridge to Signal Processing (Realm 12)
Levels & Thresholds
- Binary Representation (Logic 0 & 1)
- Valid HIGH & Valid LOW Ranges
- The Invalid Transition Region
- Voltage Thresholds in Real Devices
Noise Behavior
- Noise in Analog Systems (Accumulation)
- Noise Margins in Digital Systems
- Digital Signal Regeneration
- Signal Integrity vs Degradation
Amplification vs Switching
- Analog Processing (Scaling/Shaping)
- Digital Processing (State Switching)
- Transistor as an Amplifier
- Transistor as a Logic Switch
The ADC Pipeline
0110
- Analog-to-Digital Conversion
- Sampling Theorem Basics
- Quantization Process
- Binary Encoding Generation
The DAC Pipeline
0110
- Digital-to-Analog Conversion
- Decoding Binary Data
- Voltage/Current Level Generation
- Reconstruction Filtering
Quantization Error
- Resolution & Bit Depth
- Step Size (LSB Weight)
- Quantization Error / Noise
- Accuracy Limits of Digital Systems
Mixed-Signal Systems
S
A
- Sensors as Analog Sources
- Analog Front End (AFE)
- Digital Processing Core (DSP)
- Actuators & Physical Output
System Trade-offs
- Analog vs Digital Storage
- Transmission & Bandwidth Efficiency
- Processing Complexity & Cost
- Advantages & Inherent Limitations
12 — Analog-Digital Architecture Lab
[1] OBSERVE WAVEFORM [2] SET THRESHOLDS [3] SAMPLE RATE [4] BIT RESOLUTION [5] MEASURE ERROR
The convergence of the physical and computational. Designing the interface where real-world voltages are sliced into discrete time and amplitude bins, preparing the data for the logic gates of Door 03.
SIMULATION RUNNING