a. (10 Marks) A FM (frequency modulation) signal x(t) is given by, where, A 10 volts f 477.15 MHz, m(t)-cos(2rf t) Volts, fm 3.1 kHiz Assume that the signal bandwidth of an FM signal is determined by Carson's Rule, which states that the FM bandwidth, B is given by, where, Af is the peak frequency deviation from the centre frequency of the modulated signal fm is the bandwidth of the low-pass modulating signal. and, The required modulated FM signal bandwidth for a particular design is BM-12.5 kHz What is the required numerical value of the constant, k,, in Hz/Volt to satisfy the FM bandwidth requirement