I think you are confusing discrete time (z-transform) and continuous time (Laplace transform). In the z plane poles inside radius |z|=1 lead to decaying exponentials as shown in the video. In the s-plane (Laplace) poles in the right half plane lead to growing exponentials. If I was showing an s-plane plot, then your comment would be correct about e^+ve, but in the z-plane it is different.
Thank you for the insightful video, Dr. Van Veen. However, you never explained how the *zeros* affect the impulse response. Could you please write a little about that? Thanks!
From the difference equation, it looks like the the Br coefficients correspond to the zeros of the system, not "poles @ z=0". Am I wrong? I'm trying to figure out what a zero looks like in the impulse response, and it seems to me that they should be weighted impulses depending on location of the zero. For example a 3 point moving average filter has an impulse response of h[n] = [...0,0,0,...1,1,1,... 0,0,0,0...] and would have zeros spaced equally on the unit circle. If I am correct, does that mean that in continuous time, there would be a series of *weighted* Dirac deltas? And if so, is that weighting applied to the area of the impulse? Many thanks for sharing your tutorials! They've been a great help.
hey could you please reply if you can, for the first pole diagram should it not be e^+ve if the pole is in the right hand side which would give exponential increase?! would be much aprreciated i have an exam tomorrow
I think you are confusing discrete time (z-transform) and continuous time (Laplace transform). In the z plane poles inside radius |z|=1 lead to decaying exponentials as shown in the video. In the s-plane (Laplace) poles in the right half plane lead to growing exponentials. If I was showing an s-plane plot, then your comment would be correct about e^+ve, but in the z-plane it is different.
Thank you for the insightful video, Dr. Van Veen. However, you never explained how the *zeros* affect the impulse response. Could you please write a little about that? Thanks!
This video is so good!!! Thank you!
What impulse response do we get if we have a pole with double complexity on a point that is not on the real numbers axis?
From the difference equation, it looks like the the Br coefficients correspond to the zeros of the system, not "poles @ z=0". Am I wrong? I'm trying to figure out what a zero looks like in the impulse response, and it seems to me that they should be weighted impulses depending on location of the zero. For example a 3 point moving average filter has an impulse response of h[n] = [...0,0,0,...1,1,1,... 0,0,0,0...] and would have zeros spaced equally on the unit circle. If I am correct, does that mean that in continuous time, there would be a series of *weighted* Dirac deltas? And if so, is that weighting applied to the area of the impulse?
Many thanks for sharing your tutorials! They've been a great help.
hey could you please reply if you can, for the first pole diagram should it not be e^+ve if the pole is in the right hand side which would give exponential increase?! would be much aprreciated i have an exam tomorrow
Prof. Barry, what implication does a pole at origin have?
hi..I love your video...its helps me a lot..erm..can you please show how to find accumulation property for z-transform?..thanks you.. ^_^