Consider the following communication system. Define the half-sine pulse ps(t) by :{sin (77). 0≤t≤T, else. We assume that the channel is an AWGN channel with power spectral density No/2. AWGN Ps(t) = To+T dt > y or < y a. Determine the energy of the half-sine pulse. b. Suppose that we send Aps (t) if the bit to send is "1", and -Ap, (t) if the bit to send is "0", where A> 0 is the amplitude of the transmitted pulse. The threshold y is zero. Determine the average probability of error, in terms of Eb/No, if i. the starting time of the integrator To = 0, ii. the starting time of the integrator To = T/2.

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Antenna Characteristics

The antenna is an important concept in the domain of electronics and communication engineering. An antenna forms an integral part of many commonly used devices such as wireless modems, routers, game controllers, mobile phones, bluetooth devices, and so on. In simple terms, any wireless communication makes use of antennas to serve the purpose. An antenna, also known by the term 'arial', is an electrical device that converts electrical signals into electromagnetic waves or electromagnetic waves into electrical signals. An antenna contains a transmission line usually made up of co-axial cable, it then receives the signals and converts them into electromagnetic waves, which are then transmitted via space into their required destination. A communication system essentially makes use of two antennas, a transmission antenna, which converts electrical signals into electromagnetic waves, and a receiving antenna, which receives the electromagnetic waves and converts them back into electrical signals.