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Quantum Error Correction – Quantum Computing

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Books References: In an idea set up, we assume that logical qubits evolves unitarily following Schrodinger’s equation from the moment quantum comptuer is prepared, go through some computations and measured. However, during this process, real quantum system couples with its environment causing information leak out of logical state of the qubits in the quantum memory ... Read More

Random Linear Network Coding (RLNC)

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Network Coding Approaches for Distributed Computation over Lossy Wireless Networks https://pmc.ncbi.nlm.nih.gov/articles/PMC10047255B. Fan, B. Tang, Z. Qu, and B. Ye, “Network Coding Approaches for Distributed Computation over Lossy Wireless Networks,” Entropy, vol. 25, no. 3, p. 428, Feb. 2023, doi: 10.3390/e25030428. Ho, T.; Médard, M.; Koetter, R.; Karger, D.R.; Effros, M.; Shi, J.; Leong, B. A ... Read More

Network Coding – Wireless Communication

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https://www.nature.com/research-intelligence/nri-topic-summaries/network-coding-in-wireless-communication-systems-micro-22183https://www.microsoft.com/en-us/research/wp-content/uploads/2007/07/tr-2007-90.pdf Network Coding: Generalization of Routing Information delivery in today’s wireless networks is performed by routing which is intermediate nodes (routers) store and forward data. Now, network coding is the recent generalization of routing in which nodes can generate output data which is produced from encoding or applying certain functions on the previously received input ... Read More

Covert Communication (Low Probability of Detection – LPD)

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I. Makhdoom, M. Abolhasan, and J. Lipman, “A comprehensive survey of covert communication techniques, limitations and future challenges,” Computers & Security, vol. 120, p. 102784, Sep. 2022, doi: 10.1016/j.cose.2022.102784. Best Readings in Covert Communication and Networkinghttps://www.comsoc.org/publications/best-readings/covert-communication-and-networking Covert communication (often called LPD or Low Probability of Detection) is a security paradigm where the goal is not ... Read More

Probability – Introduction

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Book Probability by Jim Pitman, Springer The main concepts of probability theory include: These three concepts form the fundamental framework of probability theory. They describe the structure of any random process, from a simple coin toss to complex risk modeling. Outcome Space (Sample Space) The outcome space (often denoted by the Greek letter Omega, Ω, ... Read More

Linear Algebra – Gaussian Elimination

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Book: Introduction to Linear Algebra, Johnson et al. Third Edition Gaussian Elimination is a method in linear algebra used to solve systems of linear equations.It systematically transforms a system of equations into a simpler form so the solutions become easy to find. It works by manipulating the augmented matrix of the system using basic row ... Read More

Rank of Matrix

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The Rank of a Matrix is a fundamental concept in linear algebra that tells you how much “information” or “dimensionality” a matrix preserves. At its core, the rank represents the number of linearly independent rows or columns in a matrix. It is the dimension of the vector space generated by its columns (or rows). https://www.mathsisfun.com/algebra/matrix-rank.html ... Read More

Network Coding

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https://www.microsoft.com/en-us/research/wp-content/uploads/2007/07/tr-2007-90.pdf In traditional wireless communication, intermediate nodes (routers or relays) act like a postal service: they receive a packet, store it, and then forward it exactly as it was. Network Coding (NC) completely changes this. Instead of just forwarding, nodes are allowed to perform mathematical operations to combine multiple incoming packets into a single outgoing ... Read More

Calculus – Initial Value Problems

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Book Calculus by Thomas/Finney, 9th Edition, Page 282 Understanding Initial Value Problems in Calculus When studying differential equations in calculus, we often encounter something called an Initial Value Problem (IVP). While differential equations describe entire families of functions, an initial value problem helps us find one specific solution that fits a given condition. What Is ... Read More

Channel Estimation and Prediction Datasets

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The four-dimensional array structure [n_ue, n_rx, n_tx, n_sub] represents the following: WAIR-D Wireless AI Research Datasethttps://arxiv.org/pdf/2212.02159https://www.viwi-dataset.net/ RadoML Datasethttps://github.com/radioML/dataset Raymodtimehttps://www.lasse.ufpa.br/raymobtime
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