00:01
Hi there, so for this problem, we are given a carrier s of t that is equal to 100 times the cosine of 2 times pi times 10 to this 9 times the time.
00:23
Okay, so then given that you can recognize the carrier amplitude that is equal to 100 and the current frequency it is just divide this value 2 times pi times and then to the 9 by 2 times pi so that will give us 1 megahertz okay right now having that we are given to modulating signals so let's determine for each one of this so for part a of this problem so okay, so for part, for this problem, we will examine the fm modulation process and determine the frequency and amplitude of significant spectral competence, okay? so for part a of this problem, we are given the following m of t that is equal to 2 times the cosine of 3 times pi, and this times 10 to the 4 times the time, and then, and then now we need to find the frequency of the modulating signal.
01:43
So that will be 3 times pi times 10 to the 4.
01:46
This value in here is divided by 2 times pi.
01:50
So this simplifies to just 15 kilohertz, okay? or 1 .5 times 10 to the 4 hertz.
02:07
Now for power be of this problem, sorry, no.
02:11
And for this also we need to determine the frequency deviation.
02:15
So that frequency deviation is equal to two times this value.
02:20
That will be two times.
02:22
So given that at one bolts rms, i know produces a 30 kilohertz deviation at two bolts, significant will produce two times 30 kilohertz...