GATE Electronics and Communications (EC) 2019 Solved Paper

A voice signal $\mathit{m}\left(\mathit{t}\right)$ is in the frequency range $5\mathit{k}\mathit{H}\mathit{z}$ to $15\mathit{k}\mathit{H}\mathit{z}$. The signal is amplitude-modulated to generate an AM signal $\mathit{f}\left(\mathit{t}\right)=\mathit{A}\left(1+\mathit{m}\left(\mathit{t}\right)\right)\cos 2\mathit{\pi }{\mathit{f}}_{\mathit{c}}\mathit{t}$, where ${\mathit{f}}_{\mathit{c}}$ $=600\mathit{k}\mathit{H}\mathit{z}$. The AM signal $\mathit{f}\left(\mathit{t}\right)$ is to be digitized and archived. This is done by first sampling $\mathit{f}\left(\mathit{t}\right)$ at $1.2$ times the Nyquist frequency, and then quantizing each sample using a 256-level quantizer. Finally, each quantized sample is binary coded using $\mathit{K}$ bits, where $\mathit{K}$ is the minimum number of bits required for the encoding. The rate, in Megabits per second (rounded off to 2 decimal places), of the resulting stream of coded bits is _________ Mbps