you are a truly gifted teacher- I have watched countless videos on the same topic by now and none of them explained the nuances of this complex topic as clearly as you did. This video covered all bits related to PSD seamlessly whilst maintaining clarity.
@xiaolongzhang34115 ай бұрын
A lot of his equations are missing 1/T ......
@goldfishdoc19992 жыл бұрын
I have been confused with these concepts for so long. Thank you for explaining it so clearly
@BoZhaoengineering2 жыл бұрын
PSD is so universal in physics that I have to learn it even though I am not specialized in the electrical engineering. Your mathematical interpretation on this is clear. This video makes me subscribe your channel immediately.
@priyansutank2 жыл бұрын
I'm working in structural Testing, modal analysis and I'm here because the inner mechanics needs knowledge of PSD, auto and cross correlation...
@BoZhaoengineering2 жыл бұрын
@@priyansutank the same as mine. I work for renewable energy on the mechanical and structural aspects.
@dEarMrGeNesiS2 жыл бұрын
What a great overview, thank you so much!
@coleton908 ай бұрын
Amazing video and definitely worth the watch. Cleared up a lot of confusion I had with this concept.
@deepakkhandelwal8823 Жыл бұрын
Well explained, a true gem video for the topic.
@user-fx5hm5ij6z4 жыл бұрын
It helps me a lot, Thank you!
@bios5463 жыл бұрын
@41:40... BEST WAY TO GET A FEEL for what can be inferred from randomness.
@yanhairen72933 жыл бұрын
Really good teaching. Thanks a lot
@samanmahjour79702 жыл бұрын
it is very good he is a Iranian professor.
@simpleworld5423 жыл бұрын
Thanks prof. Really helpful
@007aha1 Жыл бұрын
perfecto habibi
@stlo03092 жыл бұрын
thanks a lot!
@caleb77997 ай бұрын
Man, you just can't go wrong with Ali Hajimiri!
@Ando1607942 жыл бұрын
Sir you are a genius lecturer. I am really thankful for your videos. Hopefully someday would have a chance to meet you real life. 🙂
@magansingh88422 жыл бұрын
Thank you
@justpaulo5 ай бұрын
42:17 I think that = + because on top of being uncorrelated we are assuming that the average of x1 or x2, or both, is zero, i.e. =0 and/or =0. In general the correlation Rx1x2 = , also written has E[x1∙x2]. If x1 and x2 are uncorrelated (i.e. they are independent) then Rx1x2 = , also written as E[x1]∙E[x2] If =0 and/or =0 then Rx1x2 = 0. NOTE: do not confuse correlation with covariance Cov(x1,x2) = E[x1∙x2] - E[x1]∙E[x2] which is =0 for independent signals (uncorrelated signals) even if E[x1] ≠ 0 and E[x2] ≠ 0 given the above.
@tinglin61212 жыл бұрын
One thing I have been confused about PSD is the transformation between variables. Suppose S_I(f) is the PSD of current and S_V(f) of voltage, I have seen S_I(f) = S_V(f)*(dI/dV)^2. Is it true in general, or do we have to assume constant resistance (i.e. I and V being linear to one another)? Thanks to anyone who answers it in advance.
@jamesmasonic5 жыл бұрын
I think there will be 1/T before that integral at 20:50.
@AliHajimiriChannel5 жыл бұрын
Yes, you are right. Thank you.
@stefano.a Жыл бұрын
@@AliHajimiriChannel also for the integral in 9:37 and at 39:52
@EM171072 Жыл бұрын
that's a real power stance at 42:03
@wssz112 Жыл бұрын
i see why people like to go to good universities. the professors are better!!!!
@engineerahmed72488 ай бұрын
do simple example
@sohamlakhote98225 жыл бұрын
Sir I know this is not related to this lecture but can you tell me what is the difference between op-amp slew rate and op-amp bandwidth(not formula wise). Are these two factors related to each other?
@leichen6543 жыл бұрын
slew rate is talking about large signal behavior, but the bandwidth is only applied to small signal one. If you care about slew rate, you should see how each transistor behaves (e.g. saturation or linear region) during a large swing VIN, say, 0-Vdd. It is usually non-linear. However, when you talk about small-signal bandwidth, the opamp behavior should be linear. You can model it with poles and zeros.
@user-fy1eg1vv4z3 жыл бұрын
I think Lei points out the key difference btw slew rate and BW of an amplifier. I can add some of my own understanding. Slew rate (V/us) tells how fast an amplifier can charge/discharge its output voltage, and the differential input voltage is assumed to so large that the negative input FET is off. BW is often measured as the frequency where the amplifier gain rolls off by 3 dB from DC gain, where the input pair FETs are all in saturation if designed well. Basically, the slew rate shows how fast you can change the output voltage in the time domain; BW shows up to what frequency of the input signal the amplifier can still hold a high gain. These 2 specs are indirectly related, things like the design of the output stage and the sizes of C_compensation and C_out may affect both specs.
@OndrejPopp3 жыл бұрын
3:52 "imagine you have a bunch of resistors with exactly the same value" ... just as statistical properties may change over time you can't have resistors with exactly the same value, because resistors have tolerance....🙂 19:52 "true white noise can not exist because then we would have infinite power" ... you asked for it so here it comes the Zero Point Module or ZPM... kzfaq.info/get/bejne/priZiNp03cWWf2g.html ... so maybe this means... that true white noise can exist, but we can not harvest its power yet... 😃
@saicharanmarrivada50773 жыл бұрын
You can use same resistor and measure its voltage at different instances
@AnkhArcRod3 жыл бұрын
Your first comment suggested that your question was genuine but the second one is just a troll. So, can't quite make out if you need answers or not!
@OndrejPopp3 жыл бұрын
@@AnkhArcRod Hi AnkhArcRod, my first comment was serious, but it is just a comment about the impossibility of two resistors having exactly the same value.... Concerning my second comment about the ZPM.. I was just being funny. If that's alright? However it never hurts to keep an open mind about future discoveries in science so I was just having some fun if that's alright? 😃 Thanks for your concern!