The only thing that is missing from the question is the Bessel function table because its a bit long, If the table is really needed please let me know as soon as possible and ill update the question. If anything else is needed also please let me know asap.

(b) The message signal, Um(t), in Figure 2 phase modulates the carrier vo(t) = 8cos(60000ft). The phase deviation constant is 200 rad/Volt. Let the period, T, of vm(t) be 0.02 seconds and A = 1V. 09 08 07 08 >>05 0.4 03 0.2 01 X 0.005 YO | X0.015 YO 0.016 0 0 0.002 0.004 0.000 0.012 0.014 0.010 0.01 + 0.02 Figure 2: Message signal waveform, Vm (t), for Question 1b (i) Derive an expression for the instantaneous frequency, fi(t). Neatly sketch and annotate the fi(t) versus time. (ii) Neatly sketch and annotate the modulated angle, e(t), versus time. (6 marks) (4 marks) c) Given a message signal, um(t) = 0.5cos(200nt) + 3cos(4007) and carrier signal, v.(t) = 8cos(60000tt), with frequency deviation constant kg = 100 Hz/Volt, draw the magnitude spectrum of the resulting frequency modulated signal Vfm(t). Be sure to include the amplitude levels and frequencies for all the relevant components. The Bessel function table is included in the Appendix for your reference. (10 marks) (b) The message signal, Um(t), in Figure 2 phase modulates the carrier vo(t) = 8cos(60000ft). The phase deviation constant is 200 rad/Volt. Let the period, T, of vm(t) be 0.02 seconds and A = 1V. 09 08 07 08 >>05 0.4 03 0.2 01 X 0.005 YO | X0.015 YO 0.016 0 0 0.002 0.004 0.000 0.012 0.014 0.010 0.01 + 0.02 Figure 2: Message signal waveform, Vm (t), for Question 1b (i) Derive an expression for the instantaneous frequency, fi(t). Neatly sketch and annotate the fi(t) versus time. (ii) Neatly sketch and annotate the modulated angle, e(t), versus time. (6 marks) (4 marks) c) Given a message signal, um(t) = 0.5cos(200nt) + 3cos(4007) and carrier signal, v.(t) = 8cos(60000tt), with frequency deviation constant kg = 100 Hz/Volt, draw the magnitude spectrum of the resulting frequency modulated signal Vfm(t). Be sure to include the amplitude levels and frequencies for all the relevant components. The Bessel function table is included in the Appendix for your reference. (10 marks)