📡 GSM Study Guide

ARFCNs and Logical Channels for Undergraduate Communication Engineering

1. Introduction to GSM Channel Structure

Learning Objectives: By the end of this study guide, you will be able to:
  • Understand the relationship between ARFCNs and physical frequencies
  • Calculate uplink and downlink frequencies from ARFCN numbers
  • Distinguish between different types of logical channels
  • Explain the mapping of logical channels to physical channels
  • Analyze the 26-frame and 51-frame multiframe structures

The Global System for Mobile Communications (GSM) uses a sophisticated channel structure to organize data transmission. This structure operates at two levels:

Physical Channels

Defined by ARFCN (Absolute Radio Frequency Channel Number) and time slots. These represent the actual radio frequency carriers.

Logical Channels

Defined by the type of information carried (traffic or control). Multiple logical channels can be mapped onto a single physical channel.

This dual structure allows GSM to efficiently manage both user traffic (voice/data) and network control signaling using limited spectrum resources [^13^].

2. Absolute Radio Frequency Channel Number (ARFCN)

2.1 ARFCN Concept

The ARFCN is a unique number assigned to each radio channel pair (uplink and downlink) in GSM. It simplifies frequency planning by providing a numerical index to identify specific frequency channels [^28^].

Key Principle: ARFCN represents paired frequencies (uplink and downlink) separated by a fixed duplex spacing

2.2 Frequency Bands and ARFCN Ranges

GSM operates in multiple frequency bands, each with specific ARFCN ranges and calculation formulas [^52^][^34^]:

GSM Band ARFCN Range (N) Uplink Formula (MHz) Downlink Formula (MHz) Duplex Spacing
P-GSM 900 1 - 124 890 + 0.2 × N UL + 45 45 MHz
E-GSM 900 0-124, 975-1023 890 + 0.2 × (N-1024) for N≥975 UL + 45 45 MHz
DCS 1800 512 - 885 1710.2 + 0.2 × (N-512) UL + 95 95 MHz
PCS 1900 512 - 810 1850.2 + 0.2 × (N-512) UL + 80 80 MHz
GSM 850 128 - 251 824.2 + 0.2 × (N-128) UL + 45 45 MHz

2.3 ARFCN Calculation Examples

Example 1: P-GSM 900 ARFCN 100

Uplink: 890 + 0.2 × 100 = 890 + 20 = 910.0 MHz

Downlink: 910.0 + 45 = 955.0 MHz

Example 2: DCS 1800 ARFCN 700

Uplink: 1710.2 + 0.2 × (700-512) = 1710.2 + 37.6 = 1747.8 MHz

Downlink: 1747.8 + 95 = 1842.8 MHz

Key Points to Remember:
  • Channel spacing is always 200 kHz (0.2 MHz)
  • ARFCN 0 is reserved and not used in P-GSM 900
  • DCS 1800 and PCS 1900 share ARFCN range 512-810; band indicator distinguishes them
  • Uplink is always lower frequency than downlink (mobile transmits low, receives high)

3. Logical Channels

Logical channels define how information is organized and transmitted over the air interface (Um). They are categorized based on function: traffic channels carry user data, while control channels manage the network [^13^][^38^].

3.1 Traffic Channels (TCH)

TRAFFIC CHANNEL

Used to carry speech and user data. TCHs use a 26-multiframe structure (120 ms duration) [^17^].

TCH/F (Full Rate)

  • Gross bit rate: 22.8 kbps
  • Net speech rate: 13 kbps (using FR codec)
  • Uses 24 frames out of 26 for traffic
  • 1 frame for SACCH, 1 frame idle

TCH/H (Half Rate)

  • Gross bit rate: 11.4 kbps
  • Doubles system capacity by supporting 2 calls per physical channel
  • Uses 12 frames out of 26
  • Net speech rate: 5.6 kbps

3.2 Broadcast Channels (BCH)

Downlink only channels providing cell-specific information for initial access [^31^].

BROADCAST CHANNEL

FCCH (Frequency Correction Channel)

Transmits a pure sine wave at 67.7 kHz offset. Mobiles use this to correct their local oscillator frequency and identify the beginning of a time slot [^13^].

SCH (Synchronization Channel)

Provides frame synchronization (TDMA frame number) and Base Station Identity Code (BSIC). Contains a known training sequence for precise timing [^18^].

BCCH (Broadcast Control Channel)

Carries system information including:

  • Location Area Code (LAC) and Cell Identity
  • Neighbor cell list
  • Access parameters (RACH control)
  • CCCH configuration

3.3 Common Control Channels (CCCH)

Used for initial communication between mobile and network [^20^].

COMMON CONTROL

RACH (Random Access Channel) - Uplink

Slotted ALOHA channel used by mobiles to request network access. Collisions possible when multiple mobiles transmit simultaneously [^18^].

PCH (Paging Channel) - Downlink

Used to alert mobile of incoming calls or SMS. Supports sleep mode (DRX) to save battery life [^13^].

AGCH (Access Grant Channel) - Downlink

Assigns SDCCH or TCH to mobile after successful RACH access. Carries Immediate Assignment message [^31^].

3.4 Dedicated Control Channels (DCCH)

Point-to-point bidirectional channels assigned to specific mobiles [^38^].

DEDICATED CONTROL

SDCCH (Standalone Dedicated Control Channel)

Used for call setup, authentication, ciphering, location updates, and SMS transfer. Bit rate: 0.8 kbps. Uses 51-multiframe structure. Up to 8 SDCCHs can be multiplexed on one physical channel [^31^].

SACCH (Slow Associated Control Channel)

Always associated with TCH or SDCCH. Carries:

  • Measurement reports (signal strength, quality)
  • Power control commands
  • Timing advance updates
  • SMS (during active call)

Bit rate: 0.2-0.4 kbps [^38^].

FACCH (Fast Associated Control Channel)

"Blank-and-burst" channel that steals frames from TCH for urgent signaling (handover, call release). Identified by stealing flags in burst. Bit rate: 9.2 kbps (FACCH/F) [^38^].

3.5 Channel Summary Table

Channel Type Direction Primary Function Multiframe
FCCH BCH DL Frequency correction 51
SCH BCH DL Synchronization 51
BCCH BCH DL System information 51
RACH CCCH UL Access requests 51
PCH CCCH DL Paging 51
AGCH CCCH DL Channel assignment 51
SDCCH DCCH UL/DL Call setup, signaling 51
SACCH DCCH UL/DL Measurement/control 26 or 51
FACCH DCCH UL/DL Fast signaling (handover) 26
TCH/F Traffic UL/DL Voice/data (22.8 kbps) 26
TCH/H Traffic UL/DL Voice (11.4 kbps) 26

4. Channel Mapping and Frame Structures

4.1 Multiframe Structures

GSM uses two main multiframe types to organize logical channels [^17^]:

26-Multiframe Structure (120 ms) - Traffic Channels

0
TCH
1
TCH
2
TCH
3
TCH
4
TCH
5
TCH
6
TCH
7
TCH
8
TCH
9
TCH
10
TCH
11
SACCH
12
Idle

Frames 0-11 shown (repeats for 26 frames total: 24 TCH + 1 SACCH + 1 Idle)

51-Multiframe Structure (235.4 ms) - Control Channels

Used for BCCH, CCCH, SDCCH, and SACCH

FCCH
SCH
BCCH
BCCH
BCCH
BCCH
CCCH
CCCH

Pattern repeats with SDCCH and SACCH subslots

4.2 Channel Combinations

GSM specifications define standard ways to combine logical channels on physical channels [^31^][^18^]:

Combination Channels Usage
I TCH/F + FACCH/F + SACCH/F Full rate traffic
II TCH/H + FACCH/H + SACCH/H Half rate traffic
III TCH/F or TCH/H + associated control Dual rate capable
IV FCCH + SCH + BCCH + CCCH (downlink)
RACH (uplink)
Main BCCH carrier (TS0)
V Combination IV + SDCCH/4 + SACCH/4 Small cells (combined CCCH/SDCCH)
VI BCCH + CCCH (no FCCH/SCH) Extension carriers
VII SDCCH/8 + SACCH/8 Stand-alone control channels
Important Notes:
  • Every cell must have at least one BCCH carrier (usually ARFCN with lowest interference)
  • TS0 of BCCH carrier always carries control channels
  • SDCCH/8 allows 8 signaling channels per physical channel (8 × 0.8 kbps)
  • SACCH is always "associated" - never standalone

5. Interactive ARFCN Calculator

Calculate GSM Frequencies from ARFCN

Results:

Reverse Calculator: Frequency to ARFCN

Results:

6. Practice Quiz

Test your understanding of GSM ARFCNs and Logical Channels:

Q1: What is the duplex spacing in P-GSM 900 band?

A) 80 MHz
B) 95 MHz
C) 45 MHz
D) 200 kHz

Q2: Which logical channel is used for frequency correction when a mobile first enters a cell?

A) SCH
B) FCCH
C) BCCH
D) RACH

Q3: What is the channel spacing between adjacent ARFCNs in GSM?

A) 45 MHz
B) 200 Hz
C) 200 kHz
D) 1.25 MHz

Q4: Which channel combination is used for "blank-and-burst" signaling during handover?

A) SDCCH
B) SACCH
C) FACCH
D) AGCH

Q5: Calculate the uplink frequency for ARFCN 50 in P-GSM 900.

A) 935.0 MHz
B) 900.0 MHz
C) 945.0 MHz
D) 890.5 MHz

7. Study Summary

Key Formulas to Memorize:

  • P-GSM 900: FUL = 890 + 0.2N, FDL = FUL + 45 MHz
  • DCS 1800: FUL = 1710.2 + 0.2(N-512), FDL = FUL + 95 MHz
  • Channel Bandwidth: 200 kHz per ARFCN
  • Time Slot Duration: 576.9 μs (15/26 ms)
  • 26-Multiframe: 120 ms (for TCH)
  • 51-Multiframe: 235.4 ms (for control)

Channel Hierarchy Remembering Aid:

  • BCH (Broadcast): "Beacons" - FCCH, SCH, BCCH (downlink only)
  • CCCH (Common Control): "Access Management" - RACH, PCH, AGCH
  • DCCH (Dedicated Control): "Call Management" - SDCCH, SACCH, FACCH
  • TCH (Traffic): "User Data" - TCH/F (22.8k), TCH/H (11.4k)

This study guide aligns with GSM 04.03, 05.01, and 05.02 specifications. For examination preparation, focus on ARFCN calculations and logical channel functions.