Bp. Donaldson et al., CHARACTERIZATION OF IN-BUILDING UHF WIRELESS RADIO-COMMUNICATION CHANNELS USING SPECTRAL ENERGY MEASUREMENTS, IEEE transactions on antennas and propagation, 44(1), 1996, pp. 80-86
A simple, cost-effective means is developed to estimate the time-invar
iant wireless radio channel impulse response h(t) using only the magni
tude of the channel transfer function, H(jw). The Hilbert transform is
used to calculate the phase of H(jw) from its magnitude, Inverse disc
rete Fourier transformation (IDFT) of H(jw) yields h(t). The Hilbert t
ransform relation is applicable provided H(jw) is a minimum phase tran
sfer function, An experimental in-building wireless channel testbed wa
s established, for which h(t) was determined over the 1000-2500 MHz ra
nge, Both line of sight (LOS) and non-LOS transmission was investigate
d, Good agreement was observed between values of h(t) calculated from
measured values of H(jw) and from those based only on \H(jw)\ and its
Hilbert transform, Even when the minimum phase condition is violated,
h(t) as calculated from \H(jw)\ and its Hilbert transform provides a u
seful lower bound on the time-spread of h(t). The measurement of \H(jw
)\ is easily implemented using a signal source, receiving antenna, and
spectrum analyzer, A personal computer and software are required to c
alculate the phase of H(jw) and its IDTF, Existing frequency-domain me
asurement schemes utilize a vector network analyzer to measure H(jw) (
magnitude and phase angle), Such equipment is expensive, subject to tr
ansmitter-receiver crosstalk, and restrictive as to the relative locat
ions of the transmitting and receiving antenna.