Z Transform 8 Zeros Frequency Response.

Cuthbert Nyack
Applet shows the Impulse and Frequency response of a system with complex conjugate zeros at z1 e±jz1f p/180, z2 e±jz2f p/180, z3 e±jz3f p/180 and e±jz4f p/180 8 poles are included at the origin to make the impulse response zero for t < 0.
Vi and Vg changes gain of impulse and frequency response.

eg parameters (0.25, 26.0, 4.0, 26.0, 1.0, 124.0, 158.0, 0.05, 92, 0.05)
Applet shows a low pass configuration with some zeros in the stop band and 2 zeros in the pass band. The impulse response is FINITE and SYMMETRIC and the phase is LINEAR.

eg parameters (0.25, 154.0, 4.0, 154.0, 1.0, 21.0, 57.0, 0.05, 328, 0.05)
Applet shows a high pass configuration with 2 zeros in the pass band. The impulse response is still symmetric and the phase linear.

eg parameters (1.0, 14.0, 0.43, 90.0, 2.32, 90.0, 166.0, 0.17, 188, 0.2)
Applet shows a band pass configuration with 2 zeros in the pass band. The impulse response is still symmetric and the phase linear.

eg parameters (1.0, 74.0, 1.0, 85.0, 1.0, 95.0, 106.0, 0.3, 187, 0.2)
Applet shows a band stop configuration with zeros in the stop band. The impulse response is still symmetric and the phase linear.





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Copyright 2008 © Cuthbert A. Nyack.