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Short note: T1 and E1 hierarchy

Short answer

T1 carries 24 voice channels, one framing bit, 193 bits per 125 µs frame, rate 1.544 Mbps; E1 uses 32 slots (30 voice, TS0 sync, TS16 signalling), 2.048 Mbps. Multiplexing: T1 DS1→DS2→DS3→DS4, E1→E2→E3→E4. T1 uses µ-law, E1 A-law.

Write a short note on T1 and E1 hierarchy used in telephony.

T1 and E1 are the two standard TDM-PCM digital carrier systems used in telephony. Each one interleaves several 64 kb/s PCM voice channels into one serial stream. T1 is the North American (Bell) standard. E1 is the European (ITU-T) standard, and Nepal Telecom uses it too. Both sample speech at 8 kHz with 8 bits per sample, so one frame lasts 1/8000=1251/8000 = 125 µs.

T1 system

  • 24 voice channels × 8 bits + 1 framing bit = 193 bits per frame.
  • Rb=193×8000=1.544R_b = 193 \times 8000 = 1.544 Mb/s.
  • Signalling is "robbed bit": the LSB of each channel in frames 6 and 12 of a superframe.

E1 system

  • 32 time slots × 8 bits = 256 bits per frame. TS0 carries frame sync, TS16 carries signalling, and the other 30 slots carry voice.
  • Rb=256×8000=2.048R_b = 256 \times 8000 = 2.048 Mb/s.

Hierarchies

Higher levels are made by multiplexing lower-level streams. Extra bits are added for framing and bit stuffing, so each higher rate is a little more than the sum of its inputs.

T1 levelRate (Mb/s)ChannelsE1 levelRate (Mb/s)Channels
DS1 (T1)1.54424E12.04830
DS2 = 4 DS16.31296E2 = 4 E18.448120
DS3 = 7 DS244.736672E3 = 4 E234.368480
DS4 = 6 DS3274.1764032E4 = 4 E3139.2641920

T1 uses µ-law companding (μ=255\mu = 255) and the AMI/B8ZS line code. E1 uses A-law (A=87.6A = 87.6) and the HDB3 line code.

✓ Answer checked by Claude Opus 5.5 (high effort)

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