I have a weird pulse modulation scheme named X-3. The sampling rate is 1s. For a given frame (of duration 1s) the information is encoded in the following way: 0.00-0.25s: Information is encoded using PPM with 4 different positions 0.25-0.50s: Information is encoded using PWM with 8 different widths 0.50-0.75s: Information is encoded using PAM with 16 different amplitudes 0.75-1.00s: Information is encoded using PCM with 32 different symbols (a) What is the effective information rate (in bits/sec) of X-3? Now due to some mistake, X-3 gets modified. For a given frame of duration 1s, the modifications are as follows: 0.000-0.125s: Information is encoded using PPM with 4 different positions 0.125-0.500s: Information is encoded using PWM with 8 different positions Everything else remains same (b) What is the effective information rate (in bits/sec) of modified X-3?