3. The Nyquist rate is the lowest sampling rate needed to assure reconstruction of an analog signal from its samples without losses, according to The Nyquist Sampling Theorem. However, since the lowpass filter used for reconstruction is imperfect, the practical sampling rate is usually 10-25% higher than the Nyquist rate in order to accommodate the transition band of the filter. Consider digitization of an audio signal with 20 kHz bandwidth. Assume the sampling rate is 20% above the Nyquist rate, the quantizer has 1024 steps, and an N-bit encoder is used to encode each quantized (rounded) sample into an N-bit binary codeword. (a) What is smallest value of N required? (b) What is the bit rate (bits/sec or bps) at the output of the A/D process