Timeline for DSP: newbie not understanding z transform/complex sinusoidal frequency and phase
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Jul 7, 2021 at 4:50 | answer | added | TimWescott | timeline score: 3 | |
| Jul 7, 2021 at 3:43 | comment | added | Dan Boschen | Every complex sample has phase. Every time domain sample if complex has magnitude and phase, and every frequency domain sample if complex has magnitude and phase. Don't confuse phase with time delay: A fixed time delay causes a linear phase with frequency (meaning low frequencies will have a smaller added phase while higher frequencies will have a much larger added phase) I hope this is helpful- we won't be able to have the longer discussion required here as they discourage long drawn out chats in the comments, so I won't be able to detail more here, but please do read the references I gave. | |
| Jul 7, 2021 at 3:40 | history | edited | user3394004 | CC BY-SA 4.0 |
Added "complex frequency" to parts to make the idea more clear.
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| Jul 7, 2021 at 3:39 | comment | added | Dan Boschen | Not completely. But yes the z-plane shows the correlation to the complete universe of complex frequencies that can grow or decay with time. The unit circle in the z-plane is the frequency axis you refer to-- those are all the values of z that result in phasors rotating with a constant magnitude (not decaying or growing with time). Two such phasors spinning in equal and opposite direction will result in a sinusoid along the real axis. Read my links as that should make it clearer; I really don't think there is a one paragraph answer here. | |
| Jul 7, 2021 at 3:36 | comment | added | user3394004 | I should probably write "complex frequencies". The book says z transform changes things from time domain to complex frequency domain. And different values put into of z from 0 to pi will output different complex frequencies from 0hz to Nyquist. Assuming I'm understanding correctly. | |
| Jul 7, 2021 at 3:24 | comment | added | Dan Boschen | "z" represents any complex number. Are you familiar with continuous time concepts including the Fourier Transform and the Laplace Transform, and how those two are related? This post may be helpful to you: dsp.stackexchange.com/questions/31830/… | |
| Jul 7, 2021 at 2:51 | review | First posts | |||
| Jul 7, 2021 at 15:55 | |||||
| Jul 7, 2021 at 2:44 | history | asked | user3394004 | CC BY-SA 4.0 |