1. Given the signal how many bits are necessary to achieve a signal-to-quantization noise ratio…

1. Given the signal

how many bits are necessary to achieve a signal-to-quantization noise ratio greater than 45 dB using a uniform quantizer? Using a standard µ-law  technique, how many bits are necessary to achieve a signal-to-quantization noise ratio greater than 50 dB?

2. The signal a(t) is obtained by filtering the periodic square wave b(t) with period Tp = 10−3 s and zero mean

through an ideal lowpass filter with bandwidth 5.1 kHz. The signal a(t) is applied to a quantizer with 6 bits. Evaluate the value of the signal-to-quantization noise ratio when the quantizer has

a) Uniform characteristic.

b) Nonuniform characteristic with standard µ-law .