How to developed MATLAB code of the Discrete time signal

Create a discrete time signal X of your choice

consisting of M samples, with M>10. Then,quantize the amplitude of the signal X to

L=2N quantization levels, with N>1 (X is the

quantized signal). Critically compare graphically

Xg with X. After that, encode the quantized

signal Xg using Huffman coding (Xp is the

encoded signal)

Answer 1

[charan]

Hi,

A discrete time signal can be quanitized into "L" levels similar to the code shown below:

L=4;
X=rand(1,10)

X = 1×10

0.0980 0.7890 0.2382 0.4658 0.4220 0.2183 0.7916 0.8059 0.5159 0.8716

<mw-icon class=""></mw-icon>

<mw-icon class=""></mw-icon>

Xg=round(X*(L-1))/(L-1)

Xg = 1×10

0 0.6667 0.3333 0.3333 0.3333 0.3333 0.6667 0.6667 0.6667 1.0000

<mw-icon class=""></mw-icon>

<mw-icon class=""></mw-icon>

You can also use the "quantizer" object to quantize data. You can refer to the following link for the same:

https://www.mathworks.com/help/fixedpoint/ref/embedded.quantizer.html

Once the data is quantized calculate the probability of occurence of each symbol (unique value) in "Xg". Once the probabilities are obtained use the "huffmandict" function to create the code word dictionary. Pass the signal and the created dictionary as input to "huffmanenc" function to obtain the Huffman encoded signal. You can refer to the following links:

• "huffmandict": https://www.mathworks.com/help/comm/ref/huffmandict.html
• "huffmanenc": https://www.mathworks.com/help/comm/ref/huffmanenco.html