Coherence Bandwidth

    Definition: The approximate maximum bandwidth or frequency interval over which two frequencies of a signal are likely to experience comparable or correlated amplitude fading. If the multipath time delay spread equals D seconds, then the coherence bandwidth Wc in Hertz is given approximately by the equation:

    Wc ˜ 1/{2p
    D} (1)

    The coherence bandwidth varies over cellular or PCS communications paths because the multipath spread
    D varies from path to path.

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    © 1999 DR. ERNEST SIMO - SPACE2000




    Coherence Bandwidth

    Application:
    Frequencies within a coherence bandwidth of one another tend to all fade in a similar or correlated fashion. One reason for designing the CDMA IS-95 waveform with a bandwidth of approximately 1.25 MHz is because in many urban signaling environments the coherence bandwidth Wc is significantly less than 1.25 MHz. Therefore, when fading occurs it occurs only over a relatively small fraction of the total CDMA signal bandwidth. The portion of the signal bandwidth over which fading does not occur typically contains enough signal power to sustain reliable communications.

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    Coherence Bandwidth

    Example:
    If the delay spread D over a particular cellular communication path in an urban environment is 3 µsec, then using Eq. (1), the coherence bandwidth is approximately 53 kHz, which is only about 4.2% of the IS-95 bandwidth.

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    © 1999 DR. ERNEST SIMO - SPACE2000
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