$***$Please answer up to D$***$

$***$Please answer up to D$***$

$***$Please answer up to D$***$

$***$Please answer up to D$***$

$***$Please answer up to D$***$

You are an audio engineer working on the latest Moog synthesizer filter and living in Asheville, NC

$2-$isn't that great?

Filter Specifications: The filter should amplify sounds in the human vocal range, from $100$ to

$1000$ Hz $,$ at a constant gain of $20$ dB $.$ Below and above that range, it should aggressively attenuate

input sound at a rate of $40$dB$//$ decade.

Problems:

$($a$)(1$ point$)$ What are the input and output signals of this filter?

$($b$)(2$ points$)$ Sketch a gain plot for this synthesizer that fulfills the specifications above.

$($c$)(2$ points$)$ Propose a transfer function that could have the gain plot you sketched.

$($d$)(2$ points$)$ Sketch the corresponding phase plot for your transfer function.