Problem 1 A 7bit quantiser has a dynamic range of 3 Volts Ho

Problem 1

A 7-bit quantiser has a dynamic range of ±3 Volts. How many quantisation levels could this system apply to a signal being quantised?

Options:

1) L=256

2) L=128

3) L=32

4) L=7

5) L=2

6) L=64

Solution

A sequence of samples is not a digital signal because the sample values can potentially take on a continuous range of values. In order to complete analog to digital conversion, each sample value is mapped to a discrete level (represented by a sequence of bits) in a process called quantization. In a n-bit quantizer, each quantization level is represented with n bits, so that the number of levels equals 2^n

we know that L=2^n

hence here n= 7

then L = 2^7

= 128

option 2)