A signal m(t) band-limited to 3 kHz is sampled at a rate $$33\frac{1}{3}\% $$  higher than the Nyquist rate. The maximum acceptable error in the sample amplitude is 0.5% of the peak amplitude m_p. The quantized samples are binary coded, then the minimum bandwidth of a channel required to transmit the encoded binary signal will be:

The Fourier transform of a real valued time signal has

The RMS value of a rectangular wave of period T, having a value of +V for a duration, T₁(< T) and -V for the duration, T - T₁ = T₂ equals

A continuous time function x(t) is periodic with period T. The function is sampled uniformly with a sampling period T_s. In which one of the following cases is the sampled signal periodic?

The phase response of a passband waveform at the receiver is given by
$$\varphi \left( f \right) = - 2\pi \alpha \left( {f - {f_c}} \right) - 2\alpha \beta {f_c},$$
where f_c is the centre frequency, and α and β are positive constants. The actual signal propagation delay from the transmittance to receiver is