z-Plane (Complex Plane)
Stability boundary is the Unit Circle (|z| = 1)
Time Domain Response (Discrete y[n])
System Function H(z)
Add poles/zeros to see the transfer function...
DSP Intuition Guide:
• Inside Unit Circle: Signal decays (Stable).
• Outside Unit Circle: Signal grows infinitely (Unstable).
• Angle (θ): Determines the digital frequency of oscillation.
• Zeros on Unit Circle: Completely blocks that specific frequency.
• Inside Unit Circle: Signal decays (Stable).
• Outside Unit Circle: Signal grows infinitely (Unstable).
• Angle (θ): Determines the digital frequency of oscillation.
• Zeros on Unit Circle: Completely blocks that specific frequency.
Frequency Response |H(e^jω)|
Evaluated strictly along the Unit Circle (0 to π)