I would offer that we don't particularly want circular convolution, but it is a necessary by-product of the finite-length DFT operations.
Circular convolution also drives the need for windowing and filtering to remove all of the translated spectral images. Learning to mitigate the negative...
Found my mistake - it turns out that the above is actually correct and corresponds to Sum( (-1)^(n-1/2)/(denom) * e^-jwn).
There was an error in my MATLAB code (ridiculous error) where my for loop looked like:
for i=length(n)
instead of
for i=1:length(n)
hence the reason I was only...
Homework Statement
Given:
H_{dd}\left(e^{j\omega}\right)=j\omega e^{\frac{-j\omega}{2}}, \left|\omega\right|\le\pi
Find: H_{3}\left(e^{j\omega}\right) where
H_{3}\left(e^{j\omega}\right) is the spectrum of h_{dd}\left(n\right)\left(W_N\left(n\right)\right) and W_N\left(n\right)=1 for...
Collinsmark,
Thank you for the response - the bit about being periodic but not sinusoidal was very helpful. I did not recognize that before (my fault in not sketching the magnitude plot - I need to remember to do that).
As for the example at the bottom - I understand the relationship between...
That is all correct.
To use poles/zeros you just need to realize that real values create complex-conjugate pairs, so one real input will give you |a|e^jb and |-a|e^-jb making a z-plane plot look something like this:
. |Im
. | x
...
doh! Yes absolutely it makes sense.
I got the answer now too - the key was to back it into state space equations and re-solve.
Thank you for the response!
-DR
Thank you for your response donpacino.
Unfortunately I'm not seeing it. (both the way to implement the equation and the error in 3)
I considered MATLAB but I was hesitant to take a deterministic approach and go with "if it works this once it will always work" kind of deal. Maybe i'l do that.
Hi all - working on this problem wanted to see if anyone had any advice - thanks!
As shown in section 4.4, the poles of the system H(z) with state matrices \mathbf{A, b, c^t, } d are given by the eigenvalues of \mathbf{A}.
Find: Show that, if d\neq0, the zeros of the system are given by the...