00:05
Given x into t is equal to 10 cos 12000 pi t and 10 cos 8000 pi into t plus 6000 pi into t and 10 equals 10000 times t to the power of 3.
00:40
And this is because of 0 is less than equal to t is less than equal to 2.
00:47
And this for 2 is less than equal to t is less than equal to 4.
00:53
And this is l square.
00:55
And f is equal to 5 hz is equal to 25 fc is equal to 10000 and x into t can be written as x into t is equal to 10 cos 2 pi fc into t plus 2005 t and 10 cos 2 pi fc into t plus and not again this, it's minus 2005t plus 6005.
01:59
Then cos 25 fc into t and 0.
02:12
This is because of 0 is less than equal to t is less than equal to t.
02:17
And this is for 2 is less than equal to t is less than equal to 4.
02:24
And for f squared.
02:26
I am comparing the above equation with the standard fm signal.
02:33
So x at t is equal to a c cos 2 pi 5 f at c into b plus 2 pi k at f limit minus infinite to t minus infinite m into c is so we get 2 pi k f limit minus i to t m at c vc is equal to 2000 pi t and because of 0 is less than equal to t is less than equal to 2.
03:28
And next is minus 2005 k2t plus 6005.
03:37
Because of 2 is less than equal to t is less than equal to 4...
