Question

You are required to create a function in MATLAB that implements an Analog to Digital Converter (ADC). The principle of operation of the ADC would be the successive approximation method. Inputs of the function should be the input voltage V₊ᵢₙ, the reference voltages Vₘᵢₙ, Vₘₐₓ, and the resolution Q of the ADC in use. The output should be the quantized voltage Vᵧ, and the binary number N (in decimal form) of the ADC. For the values of Vₘᵢₙ = 0V, Vₘₐₓ = 5V, Q = 11 bits, provide in a plot the input/output diagram of your converter.

Answer 1

The student's question involves creating a MATLAB function for an Analog to Digital Converter (ADC) with specific parameters and producing a corresponding input/output plot. The provided references discuss the principles of analog and digital conversions and the graphical representation of such processes.

Step-by-step explanation:

A student has asked for assistance with creating a function in MATLAB that implements an Analog to Digital Converter (ADC) using the successive approximation method. For the given reference voltages of Vmin = 0 V and Vmax = 5 V, and a resolution of Q = 11 bits, the tasks involve writing the MATLAB function and producing a plot that illustrates the input/output relationship of the converter.

The function would take the input voltage V+in, as well as Vmin, Vmax, and Q. It should output the quantized voltage Vy, and the binary number N (in decimal form). The conversion involves dividing the voltage range by the total number of levels given by 2Q to determine the size of each step of quantization and then finding the closest approximation of the input voltage within these discrete levels.

As the student has specifically asked for a plot that depicts the input/output diagram of the converter, the MATLAB script must include a command to generate a graph. By plotting the input voltages against their corresponding digital output values, the student will obtain a visual representation of how the analog voltage is discretized into digital form.