# Questions tagged [homework]

Homework means the asker is requesting help with school homework. This lets potential answerers know that they should guide the student in solving the problem, rather than simply showing the complete answer.

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### How to periodize a rectangular pulse?

A new signal u3p(t) has to be generated from u3(t) through periodic extension with a period T = Ti. u3p(t) has to be drawn from -Ti ≤ t ≤ 2Ti. I have a graph of the resulting periodic function (see ...
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### Signal , discrete , random, independent

Let $x(n)$ be a discrete, random independent process, with Gaussian distribution with mean value $\mu_x = 1$ and standard deviation $\sigma_x = 3$. Compute the probability that $x(n) < 0$ and the ...
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### Need help with deriving a recursive formula for a control system optimization integral

I need some help with a problem that appears in one of the exercises of "Introduction to Stochastic Control Theory" by Karl J. Åström: Chapter 5, page 141, problem 8. It is about deriving a ...
1 vote
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1 vote
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### How to compute the 2N-Point DFT in terms of N-Point DFT with other properties involved

Let's say the N-Point DFT of $x[n]$ is $X(k)$. Now from this question, I know how to compute the 2N-Point DFT of the same $x[n]$ in terms of $X(k)$ However, this idea doesn't translate well if I have ...
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1 vote
450 views

### Inverse Fourier Transform of $\omega ^2$ in $[-\omega _0,\omega _0]$

I've been learning about signals for a while now, and I'm just starting to learn about Continuous time Fourier transforms. In this particular case, we were asked to get the inverse Fourier Transform ...
1 vote
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1 vote
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### FInd the amplitude function to a system

I'm studying a course in signal analysis and have come across an exercise where I find the analytical part a bit tricky. I am to find the amplitude function $|H( f )|$ for a system with the impulse ...
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34 views

### Zeroes and poles for a system

I have run into some issues on an exercise for the course in signal analysis and systems I am currently studying. We are to create an echo effect and are using the system below: I am to find the ...
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