If a carrier modulated by a digital bit stream has one of the possible phases…

2011

If a carrier modulated by a digital bit stream has one of the possible phases 0°, 90°, 180° and 270°, then the modulation is called

Answer: B. QPSKConcept: In phase-shift keying (PSK) the information rides entirely in the phase of a constant-amplitude carrier. A PSK scheme that uses M distinct, equally…

  1. A.

    BPSK

  2. B.

    QPSK

  3. C.

    QAM

  4. D.

    MSK

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Correct answer: B

Concept: In phase-shift keying (PSK) the information rides entirely in the phase of a constant-amplitude carrier. A PSK scheme that uses M distinct, equally spaced phase states is called M-ary PSK: each transmitted symbol selects one of those M phases, the states sit 360°/M apart, and a symbol therefore carries log2M bits. The count of allowed phase states is what names the scheme.

Application: The stem enumerates exactly four allowed phase values — 0°, 90°, 180° and 270° — and describes the carrier by nothing else, so the scheme is identified by those phase states alone. They are spaced 360°/4 = 90° apart, so M = 4 and each symbol carries log24 = 2 bits: the four bit pairs 00, 01, 10 and 11 map one-to-one onto the four phases. Four-phase PSK is the quadrature case, named QPSK.

Contrast with the other options:

Scheme

What carries the data

Why the four listed phases do not name it

BPSK

Phase; two states 180° apart, 1 bit per symbol

Only two phase values exist in the scheme, so four distinct phase values cannot be represented at all.

QAM

Amplitude and phase jointly; named by total constellation point count (16-QAM, 64-QAM)

The stem lists phase values with no amplitude levels, so the phase-only naming applies. The four-point 4-QAM constellation does coincide with QPSK, but a four-point scheme described purely by its phases takes its PSK name.

MSK

Frequency; two tones separated by half the bit rate, with continuously gliding phase

The phase glides by ±90° across each bit interval instead of resting at fixed states, so there is no set of four instantaneous phases to enumerate.

Four equally spaced phase states, 2 bits per symbol: QPSK.

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