# 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/

2answers
96 views

### Gaussian noise generation with Matlab

I am a Matlab beginner & need to understand what is going on this code. I know it is for Gaussian noise generation, but what do these variables mean mathematically? ...
1answer
2k views

10answers
4k views

### What's the difference between $\mathbb{R}^2$ and the complex plane?

I haven't taken any complex analysis course yet, but now I have this question that relates to it. Let's have a look at a very simple example. Suppose $x,y$ and $z$ are the Cartesian coordinates and ...
1answer
155 views

### Continuous Hidden Markov Modeling

I am writing a speaker recognition program in Matlab using Mel Frequency Cepstral Coefficients, and although I have gotten the problem to work using discrete time wrapping, I was interested in try to ...
1answer
89 views

### Finding the signal $y[n]$ that results from the linear transformation of $x[n]$

I have this two signals $$x[n]=4\delta[n+1]+\delta[n-2]-2\delta[n-5]$$ $$y[n]=(3n-5)(u[n-1]-u[n-4]$$ I know that $y[n]$ results by the linear transformation of $x[n]$ and I have to find the ...
0answers
701 views

### Autocorrelation of the rectangular function

Given the autocorrelation function of the signal "s": $$r(k)=\sum_{t=-\infty}^{+\infty}{s(t)\cdot s(t+k)}$$ The autocorrelation of a rectangular function $\Pi$ (t/2) is a triangle formed by the ...
1answer
526 views

### Creating intuition about Laplace & Fourier transforms

I've been reading up a bit on control systems theory, and needed to brush up a bit on my Laplace transforms. I know how to transform and invert the transform for pretty much every reasonable function, ...
1answer
3k views

### Discrete Convolution

Does someone know the equation for the discrete convolution? I found here that the formula is: $$\{x*h\}[k]=\sum_{t=-\infty}^{+\infty}{x[t]\cdot h[k-t]}$$ But when using in Matlab/Octave the command ...
1answer
202 views

### Harmonic mean of absolute value squared discrete Fourier transform

Let $X[k] \in \mathbb{C}$ be the discrete Fourier transform of $x[n] \in \mathbb{R}$, where $k,n = 0,1,2,...,N-1$. Parseval's theorem relates the arithmetic mean (AM) of absolute value squared ...
1answer
56 views

### n-correlation function.

So I was thinking of generalization of notions in statistics, like auto-correlation or cross-correlation (auto-correlation is a specific example of cross-correlation where we take the same proccess). ...
2answers
87 views