Q2 - why do we use imaginary term j with sine wave , cant we simply use sine wave here. (sine and cosine are orthogonal functions out of phase by 90 degrees)
ok i dont want to go into basic of "i" or "j".
what i want to know is how will the graph of sine wave change when "j" is added to it ?
does it become out of phase ?
it takes any random signal and tells us its periodocity in terms of cosine wave and phase shift in terms if sine wave.
i am not amazed by Complex numbers because it is obvious they show two numbers in different dimensions
but as soon we apply AC the dimensions change and both start acting as resistor , although in a very different way, resistor opposes current because of material Coductance , while Inductor acts resistor because of opposing magnetic field, both of these forces are completely opposite but complex numbers brings them together.
what i learned from fourier transform is that we can express any signal in terms of any other signal. like random signal defined in terms of unit step function, it is just like convolution.
I think you are right if a signal is Truly Random then it can not be expressed in Fourier transform.If a signal is truly random, then it has no periodicity, and Fourier analysis cannot be made. What you mean to say is, Fourier analysis takes an arbitrary periodic signal, and relates it to a series of sinusoidal signals of varying multiple frequencies and amplitudes.
are orthogonal signals no two dimension signal ?They show numbers in an orthogonal relationship. That is shown is the link I submitted in this thread earlier.
arbitary orthogonal signals, but i dont understand why they need to be orthogonal !Do you mean "random" or "arbitrary"?
We use cookies and similar technologies for the following purposes:
Do you accept cookies and these technologies?
We use cookies and similar technologies for the following purposes:
Do you accept cookies and these technologies?