Tomorrow's Midterms

Signal Orthogonality Checker

A simple MATLAB script to check if two signals are orthogonal over a specified interval by calculating the integral of their product.

How to Use

1. Open the Script: Open the .m file in MATLAB.
2. Modify Inputs: Locate the --- INPUT SECTION --- and change these variables:
   • f1_str: First function as a string (e.g., 'sin(t)').
   • f2_str: Second function as a string (e.g., 'cos(t)').
   • interval_start / interval_end: Integration limits.
   • step_size: Resolution for numerical integration (smaller = more accurate).
3. Run: Press Run (F5).

Supported Functions

• Built-in: sin(t), cos(t), exp(t), etc.
• Predefined:
  • u_step(t) → Unit step function
  • ramp(t) → Ramp function

Output

• Command Window: Displays whether the signals are ORTHOGONAL or NOT ORTHOGONAL and prints the calculated integral value.
• Figure: Plots both input signals and their product.

Example

f1_str = 'sin(t)';
f2_str = 'cos(t)';
interval_start = -pi;
interval_end = pi;

Result: ORTHOGONAL