2D Sampling of a Cosine Wave - Frequency Domain Display
y(t₁, t₂) = cos(1.20π t₁ + 1.60π t₂)
Original (0, 0)
Left Shift (-2π, 0)
Right Shift (+2π, 0)
Top Shift (0, +2π)
Bottom Shift (0, -2π)
Diagonal Shifts (±2π, ±2π)
Continuous Wave
High-resolution representation of the actual continuous function before any sampling.
Reconstructed Wave
What the sampled data "looks like" upon reconstruction. Notice how frequencies above 1.0π create aliased, lower-frequency patterns.