I think the example is explained in time 05:40 has quite another story other than group delay he is speaking about in this video. gp says how many signal components are delayed in time domain, not in frequency domain. the example is about delay infrequency domain. GROUP here meanse frequency made by input. As you know, every input signal has a frequency for their own (based on FT) and group delay says each of input signals has been delayed in output based on their own main frequency and it also defines how many components it should be delayed.
Good explanation. Why is the derivative negative and not positive ? My understanding is that if we consider a general sinusoid f(t) = sin(wt+@) where @ is the phase of signal. This signal can be rewritten as f(t) = sin(w(t+@/w)). Now if we consider that f(t) is actually another signal g(t)= sin(wt) delayed by time T after passing through a system i.e. f(t) = g(t-T) = sin ((w(t-T)), then we can get T comparing two expressions of f(t) i.e. T= -@/w. And this is the delay captured by the phase of the signal. As I can see, I need a negative sign to get the delay T. Is this the reason why you have negative in derivative for calculating group delay ?
![Group Delay vs Phase Delay: What's the Difference? [DSP #18]](http://i.ytimg.com/vi/ox-CyJVpJEM/mqdefault.jpg)
Awesome channel! Really helping me through advanced DSP!
phenomenal lecture content. All lectures are on point. You're an absolute legend! thank you so much!
Great explanation.
I think the example is explained in time 05:40 has quite another story other than group delay he is speaking about in this video. gp says how many signal components are delayed in time domain, not in frequency domain. the example is about delay infrequency domain. GROUP here meanse frequency made by input. As you know, every input signal has a frequency for their own (based on FT) and group delay says each of input signals has been delayed in output based on their own main frequency and it also defines how many components it should be delayed.
Thanks for the wonderful video
Very intuitive. Thanks.
awesome content
-Brilliant!
~Thank you!
Good explanation.
Why is the derivative negative and not positive ? My understanding is that if we consider a general sinusoid f(t) = sin(wt+@) where @ is the phase of signal. This signal can be rewritten as f(t) = sin(w(t+@/w)). Now if we consider that f(t) is actually another signal g(t)= sin(wt) delayed by time T after passing through a system i.e. f(t) = g(t-T) = sin ((w(t-T)), then we can get T comparing two expressions of f(t) i.e. T= -@/w. And this is the delay captured by the phase of the signal. As I can see, I need a negative sign to get the delay T. Is this the reason why you have negative in derivative for calculating group delay ?
That is right.
thanks a lot for these videos🙂
This is a great video. But I have a question in my mind Does it mean group delay is of no importance if we use only one frequency modulation?
how is it that in linear phase all sinusoids receive the same delay? Doesn't the delay increase linear with the frequency of the sinusoid?
Different frequencies need different phase shifts as their wavelengths are different.
what happened Beta = 2 ?