Design transmitting and receiving filters mirroring the channel's frequency response with inverted phase to nullify ISI. Calculate the 55% excess bandwidth by identifying the non-zero frequency range of the channel's response (C(f)) and determining 55% of that bandwidth. For instance, if C(f) is active between frequencies f1 and f2, the excess bandwidth would be (f2 - f1)×0.55.
To determine the frequency response characteristics for the optimum transmitting and receiving filters in the microwave radio channel, we can design filters with the same frequency response as the channel but with inverted phase to cancel out the sinusoidal component and eliminate ISI. The excess bandwidth can be determined by finding the range of frequencies for which the channel's frequency response is non-zero and then finding the range that corresponds to 55% of that bandwidth.
The frequency response of the microwave radio channel is given by C(f) = 1 + 0.5sin(2πfT), where f is the frequency and T is the symbol rate.
To determine the frequency response characteristics for the optimum transmitting and receiving filters, we need to find the filter responses that yield zero ISI (Inter-Symbol Interference) and have a 55% excess bandwidth.
Since the frequency response C(f) already includes a sinusoidal term, we can design the filters to have the same frequency response as C(f) but with inverted phase.
This will cancel out the sinusoidal component of C(f) and eliminate ISI. The excess bandwidth can be determined by finding the range of frequencies for which C(f) is non-zero, and then finding the range that corresponds to 55% of that bandwidth.
For example, if the frequency response C(f) is non-zero for frequencies between f1 and f2, then the 55% excess bandwidth would be
(f2-f1)×0.55.