Generating Signals in MATLAB

Generating Signals in Discrete and Continuous Forms

• The laboratory experiment instructs students to generate various signals in both discrete and continuous forms using MATLAB.

Signal Types

• A range of signal types are discussed, including unit impulse, unit step, sine, cosine, exponential, and ramp signals.

MATLAB Implementation

• The MATLAB code provided implements these different signals, generating both discrete and continuous representations of each.

Discrete vs Continuous Representations

• Discrete signals are visualized using the stem function in MATLAB, which creates a step-like representation.
• Continuous signals are represented using the plot function, thus creating a smooth graph.

Sample Signals

• Unit impulse: A signal defined as 1 at n=0 and 0 at all other values of n.
• Unit step: A signal defined as 1 for n greater than or equal to 0 and 0 for n less than 0.
• Sine signal: A continuous waveform with its mathematical formula: x(n)= A sin (wn+θ).
• Cosine signal: Another continuous waveform defined by: x(n)= A cos (wn+θ).
• Exponential signal: A signal that follows the equation: x(n)= exp (n).
• Ramp signal: A signal that increases linearly, represented by: x(n) = n.

Graphical Displays

• Each generated signal is displayed with labelled axes and titles for clear visualization.

Key MATLAB Functions

• stem: Generates a discrete representation of the signals.
• plot: Generates a continuous representation of the signals.

Sample Code Structure

• The code employs subplots (6 x 2) to display the discrete and continuous form of each signal side by side.
• The N variable represents the length of the sequence.
• n is defined as a range of values from 0 to N-1, covering the domain of the signals.
• The code uses xlabel, ylabel, and title to label axes and provide descriptive titles for each subplot.