# Tagged Questions

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### Approximate rank of the set formed by all delayed replicas of a bandlimited signals between 0 and T

Given a complex-valued signal with a certain delay $s(t-\tau)$ for which we sample $N$ instants $$\mathbf{s(\tau)}=\left[s(0-\tau),\ldots,s\left(\frac{N-1}{f_s}-\tau\right)\right]^T$$ at Nyquist ...
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### Digital Filters [closed]

Can somebody help with the constructing filter by amplitude and phase spectrum? Is it possible? I try to google it, but unsuccessufully. I have some thoughts about solving it by system of linear ...
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### Levelset of band limited function

In a practical application problem I encountered such a question: Given a subset of a N*N Cartesian grid, how to determine if it is a sublevel-set of a band-limited (discrete) function? Here band-...
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### Estimating the derivative of a noisy, non-uniformly sampled function

I have some trading data in the form of (exchange rate, volume, time) tuples. I'm trying to estimate the rate of change of the exchange rate. Of course the trade data is non-uniformly sampled. Also, ...
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### Estimate on zero-crossings of band passing signals

I'm recently encountering such a problem, which I think is very intuitive but I have no background knowledge on this field: Given a signal with certain frequency distribution, e.g. we know that the ...
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### Rotationally-Invariant 2D Discrete Transforms

I'm interested in 2D discrete transforms (such as discrete wavelet transforms, Curvelets, Ridgelets, Beamlets etc.) that operate on a discrete unit disk and: Are invariant to rotations only Output a ...
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### Interpolating Wavelet Coefficients

Hi! I was instructed via reddit that this place would be the best place to post this question. Fingers cross you can help... Ive been writing some code to get rid of noise "spikes" in a signal. I'm ...
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### Complete formulas book for Communication System engineer

I'm looking for a formulas book. I'm currently student in Communication Systems and we have several courses involving mainly complex analysis, fourier analysis, signal processing, information theory ...
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### Are there interesting problems involving arbitrarily long time series of small matrices?

Are there well-known or interesting applied problems (especially of the real-time signal processing sort) where arbitrarily long time series of small (say $d \equiv \dim \le 30$ for a nominal bound, ...
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### Periodicity of data

I have some real data (data packets in a router). When I plot it I can see there is a clear periodicity on the dataset (24hours+-). But how can I discover the periodicity of the data without being by ...
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### How would you compute that “average” ?

I created a DJ-ing application that allows you to mix your MP3s with a real turntable. So I generated an audio timecode to burn on a CD, left channel is the absolute position, right channel is a ...
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### What is a rigorous statement for “linear time-invariant systems can be represented as convolutions”?

In Signal Processing books, a fundamental theorem is that linear time invariant systems can be represented as a convolution with a distribution. Could you give a mathematically rigorous statement of ...
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### Decomposing a 1-d signal into arbitary basis functions

Hi all, The short-time fourier transform decomposes a signal window into a sin/cosine series. How would one approximate a signal in the same way, but using a set of arbitrary basis functions instead ...