1) Fig. 1(a) illustrates a wireless communication system, where the message signal is denoted by m(t), the carrier signal is denoted by c(t). The transmitted radio signal is denoted by x(t) = m(t)c(t). In long distance radio links, the radio signal can be received by direct path between the transmitting and receiving antennas and also reflections by other objects, such as hills, buildings and so on. Assume the wireless communication channel is modeled with an LTI system, where the channel impulse response of this system is denoted by h(t), and the received signal r(t) = x(t) * h(t). a) Let M (f) denotes the Fourier transform of m(t). Find and express M(f) for m(t) = -(t-B) 1 e 24. A= 40, B=8 (Hint-1: Consider time-shifting A2 property, Hint-2: e-k dk = ) Delay m(t) c(t) Ta + Ti Fig. 1: (a) The illustration of wireless channel. (b) Block diagram of the system. x(t) h(t) r(t)