ECEN 661 - Modulation TheoryHomework #2Assignment Date: 1/26/06,Due Date: 2/2/061. Text 4.3.2. Text 4.103. Text 4.114. For each of the following modulation formats, derive an expression relating the minimum (Euclidean) distance between points in the signal constellation, , and the average transmitted energy per bit, . Note the average energy per bit can be expressed as the average energy per transmitted symbol divided by the number of symbols per bit.(a) M-ary ASK(b) M-ary QAM(c) M-ary PSK(d) M-ary FSK5. Design ProblemSuppose we wish to send data using a 16-ary modulation format. Our goal is to construct a two-dimensional linear modulation format such that the efficiency of the modulation format is maxi-mized. We will discuss efficiency later in class. For now it is sufficient to define the efficiency of a modulation format as the ratio or in dB .(a) Two obvious choices would be to use either 16-PSK or 16-QAM. Based on your results from
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η, Quadrature amplitude modulation, Phase-shift keying, modulation format, 4 Eb