Problem $3(20$ points$)$

Starting with a Narrowband FM signal of carrier frequency $40$ KHz and $f=10Hz$ :

Design an Armstrong indirect FM modulator to generate an FM signal with carrier frequency $256$ MHz and $f=20\mathrm{.}48KHz$ if as your final step you use a frequency multiplier of $128.$ Specify all the blocks in the modulator, including the required filters.

Design an Armstrong indirect FM modulator to generate an FM signal with carrier frequency $25\mathrm{.}6$ MHz and $f=20\mathrm{.}48KHz$ if as your first step you use a frequency multiplier of $32.$