A message signal m(t) has a bandwidth of 4kHz and power of 0.1 W, and is bounded in magnitude so that max (|m(t)|) = 2 . It is frequency modulated with frequency sensitivity kf = 10⁴ to give an FM signal s(t) with a carrier frequency of 100 MHz. The transmitter power is 10W. The channel has an attenuation of 60dB. The noise is white with one-sided power spectral density of 10⁻¹² W/Hz. The signal is demodulated with the following receive
→ BPF → Angle Demod → LPF →

a. Specify the appropriate characteristics for the band-pass filter and the low-pass filter. You may assume that the bandwidth is given by Carson's rule.