Channel capacity (baud rate)

Art Of The Problem
Apr 6, 2013
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Automated Signaling: Machines Replace Manual Telegraph Operation

AutomatedTelegraphy MachineSignaling SpeedImprovement TelegraphAutomation

Late 19th century telegraph engineers sought to improve communication speed by designing machines automating lower-level signaling, separating human input from physical signal generation.

Baud Rate: Symbol Transmission Speed Measurement

BaudRate SignalingSpeed SymbolRate CommunicationMetric

“Baud rate” (named after Émile Baudot) measures symbol transmission speed—the number of signaling events (secondary symbols) per second, independent of information content per symbol.

Baudot Multiplex: Five-Key Chord Telegraph System (1874)

BaudotCode MultiplexTelegraph FiveKeySystem ChordInput

Émile Baudot designed a multiplex telegraph system deployed in 1874, using five keys played as “chords” to represent letters, revolutionizing telegraph speed and efficiency.

Channel Capacity: Maximum Information Transmission Rate

ChannelCapacity InformationTheory MaximumThroughput ShannonLimit

Channel capacity represents the fundamental maximum rate at which information can reliably transmit through a communication channel, formalized by Claude Shannon in his 1948 information theory.

Encoding Efficiency: Maximizing Information Per Symbol

EncodingEfficiency InformationDensity OptimalCodes CompressionPrinciple

Encoding efficiency measures how closely a communication system approaches the theoretical information rate limit—maximizing information content per transmitted symbol.

Five-Bit Encoding: 32 Combinations for Letters and Control

FiveBitCode BinaryEncoding FixedLength CharacterSets

Baudot’s five-bit encoding assigns 32 possible key combinations to letters, numbers, and control characters, establishing fixed-length binary character representation.

Information Rate: Universal Communication Speed Metric

InformationRate UniversalMetric BitsPerSecond SpeedMeasurement

Information rate (bits per second) provides a universal metric measuring communication speed applicable to any system—human, animal, or alien—independent of physical implementation.

Symbol Hierarchy: Primary Letters and Secondary Pulses

SymbolHierarchy EncodingLayers PrimarySecondary AbstractionLevels

Automated telegraph systems establish a two-level symbol hierarchy: primary symbols (letters) that humans manipulate, and secondary symbols (electrical pulses) that machines generate.

Clock Synchronization: Precise Timing Enables Automation

ClockSynchronization PreciseTiming AutomationFoundation TimingAccuracy

Automated telegraph machines require precise clock sources generating consistent pulse timing, enabling reliable high-speed operation and multiplexing.

Telegraph Speed Evolution: From Manual Morse to Automated Systems

TelegraphEvolution SpeedProgress TechnologyAdvancement CommunicationHistory

Telegraph technology evolved from manual Morse systems (~40-60 words/minute) through automated machines (hundreds of words/minute), driven by relentless demand for faster communication.

Time-Division Multiplexing: Sharing Channels via Synchronization

TimeDivisionMultiplexing ChannelSharing Synchronization MultipleUsers

Baudot’s multiplex system pioneered time-division multiplexing (TDM)—enabling multiple operators to share single telegraph wire through synchronized time-slot allocation.