Consider the point-to-point radio link introduced in problem 9. By how much must transmit power be increased to maintain the maximum BER of 10-5 if the channel is flat Rayleigh-fading:

(a) When coherently detected BPSK and FSK, and DPSK and noncoherent FSK used?

(b) What is the required increase in transmit power if the channel is Rician with K_{r} = 10 and DPSK is used? What are the expected results for Kr → 0?

Consider a mobile radio link with a carrier frequency of fc = 1,200 MHz, a bit rate of 3 kbits/s, and a required maximum BER of 10-4

. The modulation format is MSK with differential detection. A maximum transmit power of 10 dBm (EIRP) is used with 5-dB gain antennas and RXs with noise figures of 9 dB.

(a) Assuming that the channel is flat-Rayleigh-fading and that BS and MS heights are 40 and 3m, respectively, what is the achievable cell radius in a suburban environment according to the Okumura-Hata path loss model?

(b) Assume that the channel is frequency-dispersive Rayleigh fading and characterised by a classical Jakes' Doppler spectrum. What is the maximum mobile terminal speed for an irreducible BER due to frequency dispersion of 10-5?

To illustrate the impact of diversity, we look at the average BER for BPSK and MRC, given approximately by Eq. (13.35). Assume that the average SNR is 20 dB.

(a) Calculate the average BER for Nr = 1 receive antennas.

(b) Calculate the average BER for Nr = 1 receive antennas.

(c) Calculate the SNR that would be required in a one-antenna system in order to achieve the same BER as a three-antenna system at 20 dB.

TDMA requires a temporal guard interval.

(a) The cell radius of a mobile system is specified as 3,000 m and the longest impulse response in the cell is measured as 10 μs. What is the minimum temporal guard interval needed to avoid overlapping transmissions?

(b) How is the temporal guard interval reduced in GSM?

Consider a CDMA system with a target SINR of 6 dB. At the cell boundary, the SNR is 9 dB. The spreading factor is 64; the orthogonality factor is 0.4. How many users can be served per cell (disregard adjacent cell interference).

Consider the downink of a CDMA system with 4 Mchips/s chip rate. The cell contains 4 data users, with (coded) data rates of 500, 500, 25, and 125 kbit/s. How many speech users (with coded data rate of 15.6 kbit/s can be served, assuming that downlink spreading codes should be completely orthogonal?