Laplace & Fourier Transforms: A simple explanation - Engineering Books, #1.1

ContentsIntroduction1Essence of Fourier Transform2Simple Explanation with a metaphor2Essence4Key aspects of the Fourier Transform5Laplace Transform9Laplace Transforms10Essence of Laplace Transform10Laplace & Periodic Functions11Special Points12Signal processing and communication systems13"s" Variable14MATLAB Example16Fourier Transform171. Time Domain & Frequency Domain18Time Domain18Frequency Domain19MATLAB Example20Laplace & Fourier Transform Connection24Laplace & Fourier Transforms25Connection25Connection between Laplace & Fourier Transforms261.
Mathematical Formulation:26More Comparisons27Quantum Fourier Transform29Quantum Fourier Transform30A Gateway to Quantum Computing30What is the Quantum Fourier Transform?30Essence of the Quantum Fourier Transform30Applications of the Quantum Fourier Transform31Conclusion: Pioneering the Quantum Frontier31Is there an application where QFT is used? Artificial Intelligence in EW33Artificial Intelligence in Electronic Warfare34AI algorithms with best application to electronic warfare34Machine Learning (ML)34Reinforcement Learning (RL)34Deep Learning (DL) 34Genetic Algorithms (GA) 34Swarm Intelligence34Expert Systems34Game Theory35Conclusions35Fourier Transforms in AI36    Signal Processing36    Image Processing36    Natural Language Processing (NLP)36    Machine Learning Feature Extraction36Conclusions37Fourier Transforms for Electronic Protection38Signal Analysis and Processing38Detection and Identification of Threats38Electronic Counter-Countermeasures (ECCM)38Radar and Communication System Enhancements39Stealth and Anti-Stealth Technologies39    Software-Defined Radio (SDR) and Cognitive EW39Conclusions40Signal Processing in Electronic Warfare Receivers411.
Signal Reception412. Preprocessing413. Downconversion414. Analog-to-Digital Conversion (ADC)415. Digital Signal Processing (DSP)426. Postprocessing42Additional Considerations42Summary43Machine Learning Techniques for Signal Classification Post-Fourier Transform441. Supervised Learning441.1. Support Vector Machines (SVM)441.2. Neural Networks441.3. k-Nearest Neighbors (k-NN)441.4. Decision Trees and Random Forests442.
Unsupervised Learning452.1. Clustering452.2. Principal Component Analysis (PCA)453. Semi-Supervised and Reinforcement Learning453.1. Semi-Supervised Learning453.2. Reinforcement Learning46Implementation Considerations46Conclusions46Laplace Transform & Analog Filters48Analog Filters49Electronic Warfare49System Modeling49Specification Analysis49Filter Design50Analysis and Optimization 50Implementation and Validation50Conclusions50Fourier Transform for Filters51Fourier Transform for Analog Filters52Analog Filters52    Signal Representation52    Frequency Response Specification52    Filter Design52    Frequency Domain Analysis53    Optimization and Refinement53    Implementation and Validation53Conclusions53Discrete Fourier Transform for Digital Filters55Digital Filters55Analog Filters55Laplace Transform55Digital Filters55Z-Transform56Conclusions56