This repository is dedicated to the study, dissection, and practical implementation of concepts from "Optimum Array Processing" (Part IV of Detection, Estimation, and Modulation Theory) by Harry L. Van Trees.
As a bridge between rigorous electromagnetic theory and modern digital signal processing, this space serves as a technical log for mastering spatial filtering, beamforming, and radar systems.
The core of this repository is a collection of notes and simulations that translate the complex mathematics of the Van Trees textbook into intuitive Python and MATLAB implementations.
- Spatial Filters & Antenna Arrays: Analyzing the geometry of wave interference (constructive and destructive) and path differences.
- Beamforming Algorithms: Implementing steering vectors, complex gains, and null-steering to isolate signals from interference.
- MIMO & Phased Array Radar: Simulating high-resolution spatial sampling and beam patterns.
- The Space-Time Field: Understanding the overlap of signals and noise in a regional space-time context.
- Python: Leveraging
NumPyfor matrix operations andMatplotlibfor visualizing spatial spectra and beampatterns. - MATLAB: Utilizing Signal Processing and Phased Array System toolboxes for advanced modeling.
- LaTeX: Ensuring technical accuracy in documentation and mathematical derivations.
/Chapter_02_Spatial_Filters: Notes and scripts on the fundamental array response and wavenumber analysis./Simulations: Interactive Python notebooks for beamforming and interference rejection./Problems: Step-by-step solutions to challenging problems from the Van Trees text.
I am a PhD in Physics and Geophysics with over 25 years of experience as a University Professor. My academic journey in Iran was focused on the intersection of wave physics and earth sciences.
Currently based in the United States, I am blending my academic foundation with industrial expertise and modern engineering practices.
- Industry: Electronics and Computer Technician at Wabtec Corporation, specializing in railroad inspection technologies.
- Education: Pursuing a Master of Science in Electrical and Computer Engineering (ECE) at Kennesaw State University (KSU).
- Research Interests: Radar Signal Processing, FPGA Accelerators, and Geophysical modeling using Python (SimPEG).
I believe in the power of "Being" and presence in technical work—a philosophy inspired by the teachings of Eckhart Tolle, which helps me navigate complex problems with clarity and focus.
- LinkedIn: [Insert your LinkedIn Link here]
- Academic Focus: Kennesaw State University | Physics & ECE
“We assume that we have a signal... located in some region of a space-time field. An array is used to filter signals by exploiting their spatial characteristics.” — Harry L. Van Trees