Suppose analog signals at a frequency of 8kHz and quantized to 10 bits per sample to transmit data.

(a) What is the minimum required channel bandwidth for transmission in a 2-level pulse format?

(b) What is the minimum required channel bandwidth for transmission in 32-level pulse form?

(c) Repeat (a) and (b) on the assumption that the roll-off factor is a rising cosine pulse regularity with 0.25.

(d) Find the spectral efficiency ( the data bit rate that can be transmitted at a frequency of 1Hz) for each case of (a), (b), and (c).