Problem Statement

Assuming that you are part of a project team in a Telecom company, your project is focusing on the following wireless communications between a base station and a mobile handset. where:

Assume that the base station is transmitting a set of binary bits x = [1 1 1 0 0] to the mobile handset. Firstly, at the transmitter, the Telecom engineers will modulate the binary bits using a Digital Modulator. The purpose of this (‘modulation’) is to make the sequence easily transmitted and well-interfaced to the channel. The function of a digital modulator is to map the digit 0 to -1; and the digit 1 to 1, as illustrated in Figure 1 (1). We see that [0 0] marked in purple are modulated to be [-1-1]. The rest of the digits [1 1 1] marked in red remain [1 1 1]. Hence, when a Transmitted Binary sequence of [1 1 1 0 0] passes through a Digital Modulator, it becomes a Transmitted Signal of [1 1 1 -1 -1]. The Transmitted Signal is then sent over a channel to a Mobile Handset, but the signal becomes corrupted with Noise in the process a seen in Figure 1 (2). The Received Signal at the Mobile Handset is simply the sum of the Transmitted Signal and the Noise. The Power Level of the Received Signal can then be computed by considering the element-by-element squared value of the Received Signal.