Assume that we are receiving bits from an analog to digital converter (ADC) that has 4 bits. The input signal has values between 0 and 10 V. The sampling time is 1 second. Assume that the bit values represent the levels up to 10 V in an increasing order. For example 0 V is represented with zero bits, and the next level is represented by the next bit sequence. We receive the following bit sequence: 111111000111010000100001000100100100011111001111 (a) (10 points) Reconstruct the signal points via Matlab code, i.e., the signal levels represented by the given bits. Use a plotting scheme that gives the levels. (b) (3 points) Based on your drawing in Part (a), first propose a signal for the original analog signal. (c) (4 points) Determine the error between the levels you generated and your proposed signal. (d) (3 points) Determine the variance and the mean of the error. Assume that we are receiving bits from an analog to digital converter (ADC) that has 4 bits. The input signal has values between 0 and 10 V. The sampling time is 1 second. Assume that the bit values represent the levels up to 10 V in an increasing order. For example 0 V is represented with zero bits, and the next level is represented by the next bit sequence. We receive the following bit sequence: 111111000111010000100001000100100100011111001111 (a) (10 points) Reconstruct the signal points via Matlab code, i.e., the signal levels represented by the given bits. Use a plotting scheme that gives the levels. (b) (3 points) Based on your drawing in Part (a), first propose a signal for the original analog signal. (c) (4 points) Determine the error between the levels you generated and your proposed signal. (d) (3 points) Determine the variance and the mean of the error