Consider a message signal m$($t$)$ with PSD $()=\{[2(2)2+2]2||<0,$ in which $=3000($a$)$ Determine the bandwidth of the m$($t$)($b$)$ Determine the power of the message signal. $($c$)$ If using DSB$-$SC modulation with a carrier of $100$ KHz$,$ determine the bandwidth and the power of the modulated signal. $($d$)$ Assume the modulated signal pass through an ideal channel with $()=103$ and the channel noise is white with PSD $()=2109.$ Determine the output signal power, the noise power, and the output SNR$.$