Questions tagged [signal-processing]

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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Z-Transform on Dirac

I have a question to do with doing a Z-Transform on a Dirac function for signal processing. So if we have $x(n)=\delta (n)+\delta (n-1)$ the transform should look like $X(z)=\sum (\delta (n)+\delta (n-1))z^{-n}$ with the sum going to infinity. I…
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Nyquist-Shannon, aliasing and Fourier downsampling

I want to know what is the proper way of downsampling a sampled signal using Fourier transform. In scipy.signal.resample the code it first converts the signal to frequency domain, then discards the middle half of the frequencies (i.e. second and…
Michael
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What propability distribution could be fitted to a noisy sinus signal

i'm currently working on feature extraction from noisy (real world measurement) sinusoid measurements. I was thinking about fitting a propability distribution over my signals propability to use the fitting parameters as signal features for further…
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Frequency modulation from feedback equation and through zero.

I've recently been thinking about filters where the feedback loop does not have a delay and have found as long as the filter is linear, deriving a transfer function is fairly trivial. Today I thought I'd try and calculate the output of a sinusoidal…
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Calculate SNR if I have the noise?

I am looking for ways to calculate signal-to-noise ratio (SNR). As I understand it, this measure is often used when you have a separated clean signal and noisy signal, and can thus measure the power in order to get the SNR. The formula…
Grilbor
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Definition of Perfect Code

Let's consider the following sentences about coding a message before transmitting it in a communication system (here you find the complete pdf) First question: can you explain me these two definitions of perfect code? I do not understand what "bit…
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Bode plot parallel RLC circuit

Bode plot I want to find the natural frequency and bandwidth given this bode plot. I know that the natural frequency corresponds to the x value at the peak of the plot and the bandwidth is the difference of frequency at -3dB. However, I don't know…
Mana
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How to do Fourier analysis for both temporal and spatial frequencies

Given a time-and-space-dependent signal like the following: $$F(z,t) = \dfrac{a_0}{2} + \sum_{n = 1}^{\infty} [a_n \cos(k_n z + w_n t + \phi_n)].$$ How do I extract both the temporal and spatial frequency components of this signal, i.e., $(a_n, k_n,…
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solution on the time domain becomes "periodic" after the inverse fourier transform

I was trying to solve european option pricing problem using Conv method (introduced by Lord in 2008 https://pdfs.semanticscholar.org/0632/460bd50b2151f74ac40028df4cc60e73a884.pdf). The final step of this algorithm is to transform the solution on the…
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Name for the centre position of a sine wave

As an engineer of some years, I'm slightly puzzled and embarrassed to be asking this question, but I genuinely can't find an answer elsewhere. Consider a sine wave. Every example has it oscillating about a Y position of zero, which for the sine…
Graham
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LTI: What if my frequency response = 1

in my calculations i get to this solution: \begin{aligned} H(e^{j*\omega}) & =\frac{1}{1-0.5 e^{-j\omega}} - \frac{0.5e^{-j\omega}}{1-0.5 e^{-j\omega}} &= 1\ \end{aligned} Am i right that this is just an delta impulse? \begin{aligned} h_2[n] &…
madmax
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What is the finite sum of sinc functions?

Is there a simplification of the following function $$ f(N) \equiv \sum_{n=0}^N\text{sinc}(\pi n c) $$ where $c$ is a constant?
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Complex fourier series coefficients of $y(t) = sgn(\sin{\frac{2πt}{T_0}})$

Given is the signal $y(t) = sgn(\sin{\frac{2πt}{T_0}})$ where $sgn(t)=1 $ for $ t \geq 0 $ and $sgn(t)=-1 $ for $ t < 0$. And $T_0$ is the period of the signal. I need to find the complex fourier series coefficients $c_k$ such that…
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Given Fourier series coefficients, what is the maximum value the constructed signal can have?

Given Fourier series coefficients $a_1, a_2, \dots, b_1,b_2, \dots$, what is the maximum value the constructed signal can have? I am interested in normalizing this signal for which knowing this maximum value makes it possible for me. Another…
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Sparse recovery by convex optimization

This is problem 10.3.6a in Vershynin's High Dimensional Probability book that I'm self-studying. I wasn't sure how to do this problem. I tried finding a bound on the set the solution comes from and using theorem 10.3.4 in the book, but I wasn't able…
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