# Questions tagged [orthogonal-signals]

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### How to construct signal-geometric framework

Consider the signal set $\left\{s_i(t) = t^{\frac{1}{i+1}}\right\}_{i=1}^4$ defined over the interval $\left[−1, 1\right]$. Represent these signals within a signal geometric framework. In this ...
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### What's a Normalized function?

I'm studing Representations of Random Processes and the book talks about Orthonormal functions, but doesn't make it clear what is it. I was able to realize that a set of functions are orthonormal if ...
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### Geometric representation of a signal using basis functions

I'm trying to solve the following problem where I need to express $x(t)$ in terms of the given $φ_i(t)$ functions. (It is proven that the $φ_i(t)$ functions are orthonormal).: Here's what I tried: In ...
• 43
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• 149
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### struggling to understand why Fourier basis is orthogonal

Studying DSP on my own time on Coursera. Was given a proof to why the Fourier basis is orthogonal, but I can't figure it out. Here is how it is proof goes. Consider the Fourier basis  \left\...
• 185
1 vote