Procedure

1. Input Signal Sequence

   • Enter the discrete signal values x[n] into the text fields provided.
   • Use the Add Input button to increase the number of samples.
   • Use the Remove Input button if any input needs to be deleted.

2. Select Transform Method

   • Choose either:
     • Discrete Fourier Transform (DFT) panel for manual DFT computation
     • Fast Fourier Transform (FFT) panel for efficient transformation

3. Simulate the Transformation

   • After entering the complete sequence, click the Simulate button.
   • The system will compute:
     • Real part of the frequency components
     • Imaginary part of the frequency components
     • Complete DFT/FFT result representation

4. Observe Output Results

   • Check the results displayed in the tabular format under the “RESULTS” section.
   • Each frequency index k will show its corresponding:
     • Real component
     • Imaginary component
     • Magnitude and/or combined frequency-domain value depending on implementation

5. Analyze Frequency Characteristics

   • Compare DFT and FFT results to verify that both produce identical frequency-domain results.
   • Notice how FFT performs the same operation more efficiently for larger data sequences.

6. Repeat for Different Signals (Optional)

   • Modify input data values to study the effect of different time-domain signals on frequency components.
   • Try sequences like sinusoidal waves, impulses, and step functions for better understanding.