Disclaimer: This was built with the help of ClaudeAI as an educational tool for Foundations of Digital Signal Processing
Discrete-Time Signal Explorer
Build a signal, apply transformations, and analyse its properties.
① SIGNAL PROTOTYPE
② TRANSFORMATIONS (Forms x[±Mn − k])
Time Reversal
Time Scaling x[Mn]
1 = none (downsampling)
Time Shift x[n−k]
Periodicity
x[n] = δ[n]
Even / Odd Decomposition
xe[n] = (x[n]+x[−n])/2 xo[n] = (x[n]−x[−n])/2
Even part xe[n]
Odd part xo[n]
③ SIGNAL PROPERTIES
Symmetry
—
Causality
—
Periodicity
—
Energy E
—
Power P
—
Signal class
—
Energy signal: 0 < E < ∞, P = 0 ·
Power signal: 0 < P < ∞, E → ∞ ·
Neither: E → ∞ and P → ∞
Current signal:
x[n] = δ[n]