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FDM vs TDM; FDM telephone hierarchy

Short answer

FDM allocates frequency bands to simultaneous analog signals; TDM assigns time slots sequentially to digital signals. The FDM hierarchy: 12 voice channels form a basic group (60–108 kHz), five groups form a supergroup (312–552 kHz), and five supergroups form a mastergroup (812–2044 kHz).

Differentiate between FDM and TDM. Draw spectral details and explain various standard groups of FDM telephone hierarchy.

Difference between FDM and TDM

PointFDMTDM
Sharing basisEach signal gets its own frequency bandEach signal gets its own time slot
Time useAll signals sent at the same timeSignals sent one after another
Signal typeMainly analogMainly digital (PAM/PCM samples)
HardwareModulators, sharp band-pass filters, oscillators per channelSampler, commutator, mostly digital circuits
GuardGuard bands between channelsGuard times between slots
Crosstalk causeNon-linearity, poor filtersPulse spreading (ISI), poor sync
SynchronisationNot criticalFrame sync is essential
Fading effectNarrow-band fading hits only some channelsFading during a slot hits one channel
ExampleRadio/TV broadcast, old analog telephone trunksT1/E1 digital telephony, GSM slots

FDM telephone hierarchy and spectral details

Telephone FDM uses SSB-SC modulation. Each voice channel (300–3400 Hz) gets a 4 kHz slot that includes its guard band. The standard (CCITT) groups are:

Level (CCITT)Made ofVoice channelsFrequency bandBandwidth
Voice channel—10–4 kHz (0.3–3.4 kHz used)4 kHz
Basic group12 voice channels1260–108 kHz48 kHz
Supergroup5 groups60312–552 kHz240 kHz
Mastergroup5 supergroups300812–2044 kHz1232 kHz
Supermastergroup3 mastergroups9008516–12388 kHz3872 kHz

1. Basic group (12 channels, 60–108 kHz). Channel kk modulates a carrier fk=112−4kf_k = 112 - 4k kHz (k=1…12k = 1 \dots 12, i.e. 108, 104, …, 64 kHz). The lower sideband is kept, so channel kk occupies fk−4f_k - 4 to fkf_k kHz.

2. Supergroup (60 channels, 312–552 kHz). Five groups modulate carriers at 420, 468, 516, 564 and 612 kHz. Taking the lower sideband turns each 60–108 kHz group into a 48 kHz block. For example, group 1 on the 420 kHz carrier occupies 420−108=312420 - 108 = 312 to 420−60=360420 - 60 = 360 kHz.

3. Mastergroup (300 channels, 812–2044 kHz). Five supergroups are placed with 8 kHz guard bands between them. (The Bell system mastergroup instead uses 10 supergroups = 600 channels in 564–3084 kHz.)

4. Supermastergroup (900 channels, 8516–12388 kHz). Three mastergroups.

 Group: 12 channels, carriers 64, 68, ..., 108 kHz
 (LSB of each channel kept)

 |ch12|ch11|ch10| ch9| ch8| ... | ch2| ch1|
 60   64   68   72   76         100  104  108 kHz
 |<----------------- 48 kHz ----------------->|

 Supergroup: 5 groups, carriers 420, 468, 516,
 564, 612 kHz (LSB kept)

 | G1 | G2 | G3 | G4 | G5 |
 312  360  408  456  504  552 kHz
 |<-------- 240 kHz -------->|

Each step needs only one set of modulators and filters for a whole block of channels, which keeps the equipment simple. The wide guard bands at the higher levels make the filters easier to build.

✓ Answer checked by Claude Opus 5.5 (high effort)

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