Z-Transform Calculator: Find Poles and Zeros
Introduction & Importance
The Z-Transform is a powerful tool in digital signal processing, enabling us to analyze discrete-time signals in the z-domain. Calculating the Z-Transform, finding its poles and zeros, is crucial for understanding the stability and behavior of digital filters.
How to Use This Calculator
- Enter the impulse response sequence h[n].
- Enter the number of terms N.
- Click ‘Calculate’.
Formula & Methodology
The Z-Transform of a sequence h[n] is given by:
H(z) = ∑[h[n] * z^-n], where n ranges from 0 to N-1.
Poles and zeros are found by setting the numerator and denominator to zero, respectively.
Real-World Examples
Data & Statistics
Expert Tips
- Understand the region of convergence (ROC) for stability analysis.
- Use the final value theorem to find the steady-state response.