The mobile radio channel is characterized as a linear time-varying system whose state is fully defined by its impulse response function $h(t, \tau)$, which encodes the relative delays, amplitudes, and phases of multipath components resulting from reflection, scattering, or diffraction. This wideband characterization treats the wireless environment as a frequency-selective filter where time variations arise strictly from mobile station motion (parameterized by velocity) while temporal changes in the channel are captured via excess delay bins ($\tau$), establishing that received signals are convolutions of transmitted inputs with this dynamic kernel. The theory provides the mathematical foundation for analyzing inter-symbol interference and designing equalization strategies within wireless communications disciplines based on stochastic modeling of propagation phenomena rather than deterministic path tracing.
The mobile radio channel is characterized as a linear time-varying system whose state is fully defined by its impulse response function $h(t, \tau)$, which encodes the relative delays, amplitudes, an…