Understanding the Z-Plane

Ғылым және технология

This tech talk covers how the z-domain (or the z-plane) relates to the s-domain and the time and frequency domains. It also walks through why the z-plane is a polar plot and how the recursion coefficients are the same as z-domain transfer function coefficients.
- Understanding the Discrete Fourier Transform and the FFT: • Understanding the Disc...
- Understanding the Z-Transform: • Understanding the Z-Tr...
- Discrete Control #6: Z-Plane Warping and the Bilinear Transform: • Discrete control #6: z...
- Applied DSP No. 9: The Z-Domain and Parametric Filter Design by Youngmoo Kim: • Applied DSP No. 9: The...
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Пікірлер: 23

  • @BrianBDouglas
    @BrianBDouglasАй бұрын

    Hi everyone, I'll be on and answering questions during the premiere. Feel free to drop any questions or comments here in the meantime and I'll try to get to them before then. Cheers!

  • @0SuperTacoMan0
    @0SuperTacoMan013 күн бұрын

    I just found out about the Tech Talks with Brian and oh my... I've been BINGINGGGG on these videos. I just finished my EE degree and watching all these videos with amazing clear explanations have been doing wonders in bridging the gaps of my undergrad knowledge. Thank you so much for these gems, Brian! You da goat.

  • @user-xq6dq7xe5e
    @user-xq6dq7xe5e8 күн бұрын

    at last you have made a video on z-plane after z- transform and have given a reference/recommendation of another video also. May ALLAAH give you better reward

  • @BraplexDongers
    @BraplexDongers25 күн бұрын

    I really liked the domain map, that was really helpful for seeing how the frequency analysis techniques are connected. Also the z domain animation wrapping around the s domain was crazy. This video was great

  • @theverner
    @theverner20 күн бұрын

    I know z domain but hearing Brian's voice makes me happy😂 I already graduated from my master's but watching his videos reminds me if control theory lectures which were my fav of all.

  • @bbhh-ud9zo
    @bbhh-ud9zo25 күн бұрын

    I’m currently studying DSP and this is really helpful. Thank you!

  • @sebastianarmstrong2775
    @sebastianarmstrong277523 күн бұрын

    Thank you Brian for a thought-provoking video. The quirks and physical meaning of each domain (frequency, s, z, discrete frequency) felt like an undervalued topic during my undergrad. I have enjoyed your recent videos on this subject--especially the "map" relating the various domains and your intuitive explanation as to why the z-domain uses polar coordinates. I will be recommending this video to friends who have questions on the z-domain. Looking forward to your next video, and I hope you have a great day.

  • @mikewheeler9011
    @mikewheeler901125 күн бұрын

    Hey that was fantastic, can't wait for the digital controller video, thanks 👍🏼

  • @BrianBDouglas

    @BrianBDouglas

    25 күн бұрын

    Thanks! A digital controller video would be a good follow up for this.

  • @Gowtham-tb5eg
    @Gowtham-tb5eg25 күн бұрын

    Thank you sir, i got clarity on z transform

  • @BrianBDouglas

    @BrianBDouglas

    25 күн бұрын

    Great to hear 🙌

  • @BCarli1395
    @BCarli139525 күн бұрын

    Very helpful, thanks.

  • @abhijithas9976
    @abhijithas997622 күн бұрын

    Thanks, i am looking for this type video , got good clarity,

  • @PankajSingh-dc2qp
    @PankajSingh-dc2qp22 күн бұрын

    @ 15:01 *integrator* example is also misleading. Integrator is actually a continuous-time device.... the discrete-time equivalent of integrator is *accumulator* that sums the number of samples... Integrator never takes a discrete-time signal as input, u[k] and gives discrete-time output, y[k] as shown in the video.... it works on continuous-time signals

  • @hughferguson9142
    @hughferguson914220 күн бұрын

    How can the Z transform help identify how different frequencies decay in a signal? What can it tell about a signal and how the frequencies change over time? Thank you!

  • @rhythmwinicour3914
    @rhythmwinicour391425 күн бұрын

    How does mapping from the s-domain to the z-domain affect the frequency response of a digital filter? Specifically near the Nyquist rate

  • @dominikz5776

    @dominikz5776

    25 күн бұрын

    Plot z,s of the tustin transformation s=(2 (z-1))/((z+1) t_s)

  • @PankajSingh-dc2qp
    @PankajSingh-dc2qp22 күн бұрын

    @ 12:24 impulse response should be discrete not continuous because time domain signal is discrete... that is ZT exists only for discrete-time signals

  • @tim110-handle
    @tim110-handle6 күн бұрын

    yes finally!!

  • @PankajSingh-dc2qp
    @PankajSingh-dc2qp25 күн бұрын

    z-domain is not discrete... it is continuous

  • @BrianBDouglas

    @BrianBDouglas

    25 күн бұрын

    Thanks for the clarification, my explanation is misleading. I should have just explained that the Z-domain is the discrete-time equivalent of the S-plane. But you are right, that the domain itself is continuous.

  • @bbhh-ud9zo

    @bbhh-ud9zo

    25 күн бұрын

    RIGHT! DTFT is continuous, while DFT is discrete.

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