Cognitave Releases the CRE-RF I & II Video Lecture Series: A New Engineering Methodology for RF and Microwave Systems
September 16, 2026 — Maxdi Research / Cognitave Inc.
Cognitave Inc. and Maxdi Research have released the video presentation series for Cognitave RF Engineering, Parts I and II (CRE-RF I–II) on the Cognitave YouTube channel.
The twenty-chapter sequence develops RF and microwave engineering from conventional electromagnetic, wave, impedance, transmission-line, port, and scattering theory into a broader methodology for deformation-aware engineering, robustness, recoverability, graph-native execution, radar inference, and adaptive system design.
CRE-RF does not attempt to replace Maxwell’s equations, classical microwave network theory, antenna theory, or established RF design practice. Its contribution is a different engineering architecture for connecting them.
The central problem addressed by CRE-RF is that a modern RF system exists simultaneously in many representations:
physical device → geometry → electromagnetic fields → waves → ports → S-parameters → circuits → reduced models → measurements → arrays → radar observables → computational execution → engineering inference
Traditional engineering workflows routinely move among these representations, but the assumptions, reference planes, normalization, model fidelity, provenance, and information loss associated with those transformations are often handled informally.
CRE-RF makes those relationships explicit.
What is different about the CRE-RF methodology?
A foundational principle is that a representation is not the physical engineering object itself.
An impedance, a reflection coefficient, an S-parameter, a field solution, an equivalent circuit, and measured data may all describe the same device, yet they are not interchangeable merely because they are mathematically related.
CRE-RF therefore treats engineering quantities as typed representations connected by typed transformation contracts.
That leads to a series of increasingly powerful engineering ideas:
Transport before comparison.
Two RF states should not be subtracted or differentiated until reference planes, normalization, mode bases, coordinates, and representation conventions have been reconciled.
Deformation instead of isolated sensitivity.
Parameter variation is propagated across representations so that engineers can study how geometry, materials, bias, loading, frequency, temperature, or environment deform the full engineering object.
Robustness is separated from stability.
Distance to a specification boundary is not the same as dynamical stability.
Recoverability is separated from robustness.
A system may be close to a requirement boundary yet highly recoverable—or far from a boundary but lack sufficient control authority.
Events become engineering objects.
Boundary crossings, regime transitions, event order, hysteresis, model-trust changes, and control actions can be represented explicitly rather than appearing only as points on a plot.
Model fidelity becomes task dependent.
A reduced model that reproduces nominal S-parameters may still fail to reproduce derivatives, event locations, robustness margins, or recovery directions.
RF results propagate through system depth.
Element-level performance is distinguished from array response, beam response, covariance, estimator behavior, and radar task performance.
Execution becomes part of the engineering record.
In later chapters, the theory connects to EDFS—Electronics Design Flow Studio—where engineering workflows can be represented as typed executable graphs carrying kernels, authority, closure, provenance, replay, and validation information.
This progression is one reason we view CRE-RF as a substantial methodological development in contemporary RF/microwave engineering: the emphasis shifts from executing isolated simulations toward maintaining engineering meaning across representations, model depths, tools, and decisions.
CRE-RF Part I — Representational Foundations
Part I establishes the static RF engineering object:
The RF Engineering Object
Representation, semantic typing, fibers, transformation contracts, and engineering closure.Complex Representation as the First RF Fiber Geometry
Phasors, impedance/admittance, reflection coefficient, Möbius transformations, and Smith geometry.Electromagnetic Field Fibers
Maxwell fields, materials, sources, boundaries, discretization, and field-to-reduced-representation projection.Wave Transformations
Propagation, forward/backward waves, reference-plane movement, modes, cutoff, polarization, and group delay.Power and Impedance
Complex power, matching, delivered power, reflection, passivity, and admissibility.Distributed RF Systems
RLGC systems, transmission lines, propagation operators, standing waves, and distributed deformation.Ports as Typed Boundary Operators
Mode basis, normalization, reference impedance, reference plane, calibration, and de-embedding.Scattering as a Typed Boundary-to-Boundary Operator
S-parameters, multiport composition, passivity, reciprocity, renormalization, and network closure.RF Fiber Geometry
Sections, transport, metrics, covariant deformation, path dependence, and holonomy.The Deformed RF Object
Jacobians, uncertainty, robustness, closure, control authority, and recoverability.
CRE-RF Part II — Dynamics, Robustness, Radar and Inference
Part II lets the Part-I object evolve:
RF Deformation Dynamics
RF Event Trajectories and Regime Transitions
Robustness, Basins, and Stability
Recoverability and Adaptive RF Control
Stochastic RF Deformation
Reduced Models and Deformation Fidelity
Array, Beam, and Radar Inference Deformation
Graph-Native EDFS Execution for Radar Systems
MXD-COGN Radar Inference Flow
Adaptive Intelligent and Neuromorphic Radar Systems
The final chapters deliberately separate RF physics, radar processing, EDFS execution, higher inference, and adaptive decision-making rather than collapsing them into a single ambiguous “AI” layer.
Watch the CRE-RF video series > Cognitave CRE-RF playlist
https://youtube.com/playlist?list=PLMPXpP9WhCis&si=F4Ftc8KeGLFiYezg
Published video sequence
CRE-RF-I Chapter 1 — The RF Engineering Object
https://youtu.be/sU03lL6N4qs?is=Nvat-2TQtXgYuyVrCRE-RF-I Chapter 2 — Complex Representation as the First RF Fiber Geometry https://youtu.be/MaZMyq2MVDM?si=dKfTma0MW8EQuadU
CRE-RF-I Chapter 3 — Electromagnetic Field Fibers https://youtu.be/bCltiICcGd8?si=PC7_LkRm1d1-9pID
CRE-RF-I Chapter 4 — Wave Transformations https://youtu.be/w-D4G7njh78?si=KV5oKtTJpBRpYKkX
CRE-RF-I Chapter 5 — Power and Impedance https://youtu.be/hSB5vYgqyjo?si=cRntBZQZ7NCB0HLf
CRE-RF-I Chapter 6 — Distributed RF Systems https://youtu.be/UYhsRyJQu8Y?si=ZbzAPv5A7CX7c39v
CRE-RF-I Chapter 7 — Ports as Typed Boundary Operators https://youtu.be/kBa91q9u52E?si=GiS24nk0mSTYebbS
CRE-RF-I Chapter 8 — Scattering as a Typed Boundary-to-Boundary Operator https://youtu.be/UP_SyxHBZP0?si=7GUB4jVro1G3Xiqv
CRE-RF-I Chapter 9 — RF Fiber Geometry https://youtu.be/ZMM1p2a47DI?si=5EdnxnC6cnHfBnTV
CRE-RF-I Chapter 10 — The Deformed RF Object https://youtu.be/9wQiFca-R60?si=O6kNXQx6kLSAzuqI
CRE-RF-II Chapter 11 — RF Deformation Dynamics https://youtu.be/oQLLsitmheY?si=P6g2T6NOUqCgLAAZ
CRE-RF-II Chapter 12 — RF Event Trajectories and Regime Transitions https://youtu.be/ZflzMVYuLbw
CRE-RF-II Chapter 13 — Robustness, Basins, and Stability
CRE-RF-II Chapter 14 — Recoverability and Adaptive RF Control
CRE-RF-II Chapter 15 — Stochastic RF Deformation
CRE-RF-II Chapter 16 — Reduced Models and Deformation Fidelity
CRE-RF-II Chapter 17 — Array, Beam, and Radar Inference Deformation
CRE-RF-II Chapter 18 — Graph-Native EDFS Execution for Radar Systems
CRE-RF-II Chapter 19 — MXD-COGN Radar Inference Flow
CRE-RF-II Chapter 20 — Adaptive Intelligent and Neuromorphic Radar Systems
All chapters are available through the playlist:
https://youtube.com/playlist?list=PLMPXpP9WhCis&si=F4Ftc8KeGLFiYezg
Publications and software
CRE-RF-I textbook
https://www.cognitave.com/ee-store/p/cre-rf-i
Complete CRE-RF I + II — 20 Chapters
https://www.cognitave.com/ee-store/p/cre-rf-complete
EDFS — Electronics Design Flow Studio
https://www.cognitave.com/cogn-tex4
Maxdi Research
https://www.maxdi.com/research
From theory to executable engineering — Concluding Remark
The broader significance of CRE-RF lies in its progression from a mathematical RF framework toward an executable engineering methodology within EDFS 2026 R1. CRE-RF establishes the theoretical, representational, and analytical foundation; EDFS provides the graph-native environment in which selected representations, transformations, numerical kernels, evidence contracts, and validation workflows can be made operational and traceable. Within this architecture, RF networks, ports, S-parameters, Smith and RF geometry, deformation analysis, and Python/Octave execution form the engineering foundation, while the Research edition extends the same framework toward MXD-COGN, radar, quantum, and experimental workflows.
The objective therefore extends beyond a twenty-lecture RF course or a pair of reference volumes. CRE-RF is intended to establish a continuous engineering path in which theoretical statements can be progressively transformed into representations, computational models, numerical results, measurement evidence, deformation analyses, validation records, and ultimately engineering decisions:
Theory → Representation → Model → Computation → Measurement → Deformation → Validation → Decision
This traceable continuum—from mathematical definition to executable and evidence-bearing engineering—is the central methodological proposition of CRE-RF and its principal connection to the evolving EDFS architecture.

