Tagged Questions
0
votes
2answers
37 views
Complex expression for periodic binary sequences
We have infinite binary sequences of type
$$\langle g_n \rangle_{j=4}=\{0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,...\} \,;\, n\to\infty$$
where $j$ indicates the length of a period that starts/ends with a $1$; ...
1
vote
1answer
34 views
How can I calculate the bode magnitude and frequency as well as their plots?
I've been trying to figure this problem out for a while now. I've been given a transfer function $$H(s) = \frac{s(s+100)}{(s+2)(s+20)}.$$ I'm supposed to calculate the bode magnitude and frequency for ...
1
vote
1answer
241 views
FFT with a real matrix - why storing just half the coefficients?
I know that when I perform a real to complex FFT half the frequency domain data is redundant due to symmetry. This is only the case in one axis of a 2D FFT though. I can think of a 2D FFT as two 1D ...
1
vote
1answer
136 views
Complex Numbers and polar form
I am given the following information:
$$x[n]= s^n,\qquad n=0,\pm 1,\pm 2,\ldots$$
where $s=\sigma + j\omega = re^{i\theta}$ is a complex number in general.
I was wondering how the following is ...
2
votes
3answers
358 views
Simplifying the expressions for the magnitude and phase of a Fourier transform
$$h[n] = 2( \delta[n-2]-\delta[n-1]-\delta[n-3])$$
i computed my frequency response and i have this now: $$H[e^{j \omega}] = 2[ e^{-2 j \omega} - e^{-j \omega}-e^{-3 j \omega}]$$
$$H[e^{j \omega}] = ...
