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In the literature, the wideband MIMO channel is most often assumed to be time-invariant and is expressed using discrete rather than continuous variables (see, for example, Ref. 63). Thus, the wideband SISO channel between each transmit-receive pair can be characterized using the complex channel gain hmn[d ]. 25) to the wideband case, 0 h11 [d] B .. H[d] ¼ @ . hMRx 1 [d] 1 . . h1MTx [d] C .. A: . . . 2 CHANNEL CLASSIFICATIONS 33 The elements of the wideband H-matrix H[d ] are the complex channel gains hmn[d ].

HMRx MTx [d] “Indexed matrix,” a discrete sampling of each of MRx ÂMTx ÂD timedispersive channels represented in matrix form. Unweildy. H-tensor, discrete representation of the time-dispersive MIMO channel. Makes it easier to do linear operations. H-matrix, consisting of MRx ÂMTx constant complex coefficients. Impulse response depends on t, and h(t) changes over time; the delay t is needed to describe this change. Continuous variable. Vector channel with MTx, MRx constant complex coefficients, respectively.

In this case, we say the channel is static. 2 CHANNEL CLASSIFICATIONS 27 yet other instances where the impulse response varies slowly over time. In this case, if the observation period To is short enough such that the impulse response does not change significantly over To, we can also consider it to be constant within the observation period. This is an example of a slow-fading channel. In the literature, we often see the terms static and slow-fading used interchangeably to describe a channel whose impulse response does not vary over time.

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