# Tagged Questions

Questions on the mathematical aspects of signal processing. Please consider first if your question might be more suitable for http://dsp.stackexchange.com/

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### Inverse $Z$ transform of $\frac{1}{z-a}$

I don't really get what's happening here and I haven't been able to find a single example on how to get the inverse $Z$-transform of $\frac{1}{z-a}$. Can anyone show the way?
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### is a “non-causal” system “memory”?

Is their a relationship between non-causality and memory? for example: is the system $Y(t) = X(t+1)$ memory or memory-less. I got confused because the memory system is defined to depend only on the (...
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### Calculating convolution integral analytically

How can i compute convolution integral analytically, without using graphs. I hate using graphs, shiftings which are error prone. If this is possible can you explain what way i must follow? For ...
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### How to mathematically model noise?

In my project I have to perform analysis of noise effect in certain signal. I am just wondering how is noise formally described? Up to now I always simulate a noisy signal using MATLAB in an additive ...
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### Relation between Covariance and Energy of a random signal

Let's say I have the below random signal: $Y[n]=[y(n)y(n−1)y(n−2)....y(1)]$ I have two random variables now: The first one $X_1$ which express the maximum eigenvalue of the covariance matrix of $Y$. ...
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