For Digital Signal Processing: What is the stepsize of an ideal 4-bit quantizer with a signed input signal having amplitude ±2? Provide your answer with 3 decimal digitals of precision, i.e., 0.123.

A four bit 1’s complement binary representation of a number is given as 1110.  What would be an eight bit representation of this number using the sign and magnitude method?

An analog signal is to be coded by an ADC. The signal contains significant frequencies up to 3.2kHz. If the system is operated at a bit rate of 36,000 bits per second (bps), answer the following: a) To avoid aliasing, the sampling frequency must be greater than or equal to kHz b) If the signal is sampled at the Nyquist rate, what is the Nyquist frequency? kHz h c) If the signal is sampled at the Nyquist rate, the number of bits per sample is number of quantization levels is and the Note: *When you use the formula bFs L in finding b, the result must be rounded up to the nearest integer.

Determine and graph the entropy (average information) of binary code in which the probability of occurrence of the two symbols is A and B. Then, find the entropy if probability of A = 0.8 using two methods: the equations and the graph.