Mobile Communications Engineering: Theory and Applications, Second Edition

Chapter 6: Received-Signal Envelope Characteristics

6.1 Short-Term versus Long-Term Fading

When an instantaneously fading signal s( t) is received at any time t in a mobile-radio environment, this signal can be expressed:

(6.1)

where ?( t) is the term for the phase of the signal s( t) and r( t) is the term for the envelope of the signal. Furthermore, r( t) can be separated into two terms:

(6.2)

where m( t) represents long-term signal fading, as previously described in Sec. 3.5, and r 0( t) represents short-term signal fading. If m( y) represents any physical spot y corresponding to time t during the test runs, then m( y) is the local mean. In this situation, Eq. (6.2) can be expressed:

(6.3)

The instantaneous fading signal s( t) received in the field contains both envelope information r( t) and phase information ?( t). Although the phase information ?( t) is not used when calculating path loss, it directly affects signaling performance and voice quality, as is discussed later in Chap. 7.

In Chaps. 3 through 5, the model for explaining propagation-path loss and the methods for calculating the loss from the local means m( y) are described. If no multipath fading is present, then the propagation-path loss is the only major factor that must be considered. However, if severe multipath fading is present...

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