A digital communication link carries binary$-$coded words representing samples of an input signal x$($t$)=3$cos$600$t$+2$cos$1800$t$.$ The link is operated at $10,000$ bits$/$s and each input sample is quantized into $1024$ different voltage levels. Hint: the numbe of bits$/$sample $=$ logbase $2($input sample in bit$/$s$)$ while the folding frequency is half of sampling frequency.

a$)$ What are the sampling and folding frequencies?

b$)$ What is the Nyquist rate for the signal x$($t$)?$

c$)$ What are the frequencies in the resulting discrete$-$time signal x$[$n$]?$

d$)$ What is the resolution?