# Tagged Questions

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### Solution to iterative equation with floor operation

This question is motivated by the following signal processing problem. Suppose there is a source, which produces vectors of data of length $N_s$, and a filter (or other subsystem) that accepts ...
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### Minimizing association/correlation between two time series

I have two time series, $M_1(t)$ and $M_2(t)$, which can be seen as measurements of two different physical sources, $s_1(t)$ and $s_2(t)$. $M_1$ only depends on $s_1$, whereas $M_2$ depends on both. ...
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### 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 $1$; ...
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### Z-Transform Identity

I've come across an identity and would like to know if it has some sort of formal name or derivation or explanation or something! Also, I'm curious as to whether others are aware of such an identity. ...
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### MA process ACF proof - don't understand it

I've got the proof but I don't understand a small detail. As you know for an MA process: $X_n = \sum _{i=0} ^q \beta_i Z_{n-i}$ where $Z_n$ is WGN (pure Gaussian random process). Then the ACF is: ...
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### Summability of a sinc function power 'p', where 1<p<2

We know that a sum of the form $\sum_{n=0}^{\infty} \left|\frac{sin(a\pi n)}{a\pi n}\right|$ where $a$ is not an integer, is unbounded and tends to infinity. But what about the expression ...
The infinite-length sequence $x_1[n]$ defined by \begin{multline} x_1[n]= \begin{cases} \dfrac{1}{n}& \text{if $n \geq$1},\ 0& \text{if $n \leq$0}. \end{cases} \end{multline} has an energy ...