Cellular Networks Overview

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Questions and Answers

What is the formula for calculating the number of cells in a cluster?

  • $N_c = 3R^2$
  • $N_c = (i + j + ij)$ (correct)
  • $N_c = 2(i + j)$
  • $N_c = (i^2 + j^2 + ij)$

In the main cluster parameters, what does the parameter 'j' represent?

  • A variable influencing the total cell count (correct)
  • Number of additional cells added in the cluster
  • A measure of signal strength
  • The distance between clusters

Which of the following values corresponds to the maximum $S/I$ ratio from the provided parameters?

  • 20.7
  • 16.8
  • 18.7
  • 21 (correct)

What does $D_k/R$ represent in the provided parameters?

<p>The degradation factor relative to the radius (C)</p> Signup and view all the answers

How is the signal-to-noise ratio expressed mathematically?

<p>$S/N = P_s / (P_N + P_I)$ (B)</p> Signup and view all the answers

What method can be used to calculate the distance between two points D in a hexagonal cell?

<p>D^2 = [(n_2 - n_1) + (u_2 - u_1) \sin{(p/6)}]^2 + (u_2 - u_1)^2 \cos^2{(p)} (B)</p> Signup and view all the answers

How can the distance Dk from the center of the origin cell to any hexagon be expressed?

<p>D_k = 3R^2(i + j + ij) (C)</p> Signup and view all the answers

What is the definition of a cluster in the context of cellular networks?

<p>The largest contiguous area covered by multiple cells without overlaps (B)</p> Signup and view all the answers

What geometric shape is primarily utilized in the structure of cellular networks?

<p>Hexagon (A)</p> Signup and view all the answers

Which equation correctly represents the transformation for coordinates in a hexagonal cell?

<p>x_i = u_i \cos{(p/6)} (A)</p> Signup and view all the answers

How is the angle 'p' in the coordinate transformation defined in relation to the hexagonal layout?

<p>p = 30 degrees (D)</p> Signup and view all the answers

What does the notation R represent in the context of hexagonal cells?

<p>The distance from the center to a vertex of the hexagon (C)</p> Signup and view all the answers

What is the significance of the term '3R' in the context of cells?

<p>It refers to the distance calculated when transitioning between three cells (A)</p> Signup and view all the answers

Flashcards

Hexagonal Cell in Cellular Networks

A cellular network uses a hexagonal grid to divide areas into cells. Each hexagon represents a cell, and the cells are arranged in a honeycomb pattern. This structure ensures good signal coverage and efficient use of spectrum.

Coordinate Transformation in Hexagonal Cells

A hexagon cell in a cellular network can be defined using a coordinate system where the y-axis represents the distance from the origin and the x-axis represents the direction. This system allows you to calculate the distance between cells.

Distance Formula for Two Cells

The formula to calculate the distance (D) between two cells in a hexagonal network. It considers the coordinates of the two cells and uses the geometric properties of the hexagonal shape.

Cluster in Cellular Network

A cluster in a hexagonal cell network is a group of neighboring cells connected directly without any overlapping cells. This group is the largest possible without overlaps among neighbouring cells.

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Cell Cluster

A group of cells in a cellular network, all using the same frequency, creating interference. The number of cells in a cluster is calculated by the formula Nc = (i + j + ij)^2.

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Signal to Noise Ratio (SNR)

The ratio between the power of the desired signal (S) and the power of noise (N) and interference (I) combined in a cellular network.

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Signal Power (Ps)

The power of the desired signal in a cellular network.

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Noise Power (Pn)

The power of noise (thermal noise) in a cellular network.

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Interference Power (Pi)

The power of unwanted signals (from other cells using the same frequency) in a cellular network.

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Study Notes

Cellular Networks

  • Cellular networks utilize hexagonal cells for efficient signal coverage.
  • The distance between two cell centers can be calculated.
    • The formula for squared distance involves trigonometric functions, coordinates of the cell centers, and cell radius.
  • Cellular network clusters define the largest group of neighboring cells without overlapping portions.
    • Cluster area and cell area are related.
    • The formula for cluster area depends on distance and hexagonal shape.
    • The formula for the number of cells in a cluster relates to integer coordinates.
  • Main cluster parameters include calculated values of i, j, cluster size, distance relative to radius, and signal-to-interference ratio.
  • Co-channel interference occurs when different cells use the same frequency band.
    • The signal-to-noise ratio is determined by signal, noise, and interference powers.
    • For hexagonal cells, interference is maximum at the boundaries of neighboring cells.
  • Interference reduction strategies include increasing the number of cells in a cluster, cell sectorization, and transmitter power control.
  • Adjacent-channel interference affects cells using similar frequencies.
  • Small cell designs (macro, micro, pico, femto) use different technologies for better coverage in densely populated areas.
  • Interference alignment is a technique that strategically aligns interference signals in wireless networks.
  • This process is used to improve transmission and minimize overlap of signals in specific cases.
  • It's done by splitting signal resources across frequency, time, and code.
  • Network traffic theory utilizes assumptions addressing statistical behavior of network users.
  • Circuit switching and blocking systems are key concepts.
  • Load intensity and blocking probability definitions, formulas, and examples are included.
  • Network traffic uses Erlang formulas to measure the relationship of channels and load intensity to determine probability of blocking.
  • Calculations show examples that relate the given probability to numbers of channels to support a defined load.
  • Real load intensity can be derived from the rate of serviced requests.
  • Channel usage intensity helps determine usage of channels in a network.
  • Real examples of calculations help in practice applications.

Exercises

  • Exercise 1: Two mobile operators, utilizing varying numbers of cells and channels, need to calculate the number of subscribers each can support, given specific conditions (blocking probability, call rate, and conversation length).
  • Exercise 2: Calculations of channel usage intensity for various cell configurations (isotropic, three-sectored, and six-sectored) are required.

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