ComputingNotes

Rank of Matrix

by ComputingNotes
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

by ComputingNotes
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

by ComputingNotes
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

Reconfigurable Intelligent Surface (RIS)

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https://www.etsi.org/technologies/reconfigurable-intelligent-surfaceshttps://www.rohde-schwarz.com/au/solutions/wireless-communications-testing/wireless-standards/6g/reconfigurable-intelligent-surfaces-ris/reconfigurable-intelligent-surfaces-ris_257043.htmlhttps://www.6gacademy.com/what-is-ris/https://wirelesspi.com/reconfigurable-intelligent-surfaces-ris-a-tutorial/ Reconfigurable Intelligent Surfaces (RIS) are physically placed to act as a bridge between the Base Station (BS) and the User Equipment (UE), particularly in scenarios where the direct path is obstructed. Physical Components of the Surface The physical layout of the surface itself is carefully engineered:

Wireless Systems – Terms

by ComputingNotes
MIMO- Multi input and multi output is wireless technology that multiplies the capcity of a radio link using multiple transmit and receive antennas.https://en.wikipedia.org/wiki/MIMO FDD (Frequency Division Duplex): A transmission mode where uplink and downlink channels operate on different frequency bands. In FDD systems, the base station typically relies on user feedback to obtain downlink CSI ... Read More

Calculus – Integration

by ComputingNotes
Book Calculus by Thomas/Finney, 9th Edition, Page 275 Differential Calculus to Integral Calculus. This is where we stop asking “how fast is it changing?” and start asking “how much have we accumulated?” Indefinite Integrals The chapter kicks off with a simple question: If I give you the answer (the derivative), can you tell me the ... Read More

What is quantum advantage actually?

by ComputingNotes
https://www.linkedin.com/posts/googleresearch_what-does-quantum-advantage-really-mean-activity-7411496236043808768-1fTo?utm_source=share&utm_medium=member_desktop&rcm=ACoAAFvtEp0B-fk768n2MQaWnQRVk0ixzjLJZV0 https://research.google/blog/a-verifiable-quantum-advantage/ https://www.nature.com/articles/s41586-025-09526-6 FUNDAMENTALS: Out-of-time-order correlators in quantummechanicshttps://arxiv.org/pdf/1703.09435
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