Part I: Identify each statement below as either True $($T$)$ or False $($F$)(20$ points totan$)$

For a standard AM signal ${}_{AM}=[A+2m(t)]cos({}_{c}t),$ where A is a positive value, the condition for envelope detection it $m(t)\frac{A}{2}$ for all $t$

For a PM signal ${}_{PM}=$Acos$({}_{c}t+k_{p}m(t)),$ Time expansion of $m(t)$ by a factor of two will roughly half the PM bandwidth.

The FM spectrum is determined by the maximum and minimum values of the signal only, therefore, the FM spectrum is independent of the spectrum of $m(t).$

To transmit a $120$Mbi$\frac{t}{s}$ PCM signal, the minimum required bandwidth is $60$ MHz $.$

The Nyquist sampling rate of the signal$5sin{c}^2(100t)sinc(1000t)$ is $1200$ Hz $.$

The average quantization error is $\frac{v}{2}=\frac{m_p}{L},$ where $m_p$ is the quantizer's amplitude, and L is the number of quantization level.

For a bipolar signal, $1$ is transmitted by a pulse $p(t),$ and $0$ is transmitted by a pulse $-p(t).$

The anti$-$aliasing filter is required to place between the sampler and the quantizer.

The $M-$ary line code generates the same PSD shape as binary polar signaling.

A receiver typically requires a lower signal power at lower temperature to main the same receiver sensitivity$.$