Questions on the mathematical aspects of signal processing. Please consider first if your question might be more suitable for http://dsp.stackexchange.com/
Questions tagged [signal-processing]
2068 questions
3
votes
1 answer
Has the theoretical explanation of Compressed Sensing been simplified since 2005/2006?
Is the theoretical explanation of compressed sensing given in the Candes, Romberg, and Tao papers from 2005 / 2006 still the simplest and most clear explanation available?
Are these original papers still the best resource for learning the theory…
eternalGoldenBraid
- 2,089
3
votes
2 answers
Discrete Fourier Transform of generalised Hamming Window
The generalised Hamming Window is defined as:
$$ w(n) =
\begin{cases}
\alpha - (1 - \alpha)\cos(2 \pi n /N), & \text{if $ 0 \leq n \leq N$} \\
0, & \text{otherwise}
\end{cases} $$
with $ 0 \leq \alpha \leq 1$.
By using the formula for DFT: $X[k] =…
Augustin
- 165
2
votes
2 answers
understanding the convolution in signals and systems
Hi : I've been reading introductions to signals and systems but my background is probability and statistics. In probability, the concept of convolution makes perfect sense to me. If $t$ is a random variable with density $g(t)$ and $g(t) = f(x)h(y)$,…
mark leeds
- 1,514
2
votes
3 answers
period vs time period of sine wave
It's weird I'm still confused about this, but usually when we figure out the period of a sine wave from its graph, it's in radians. But the true period should be in time, like how fast we are revolving around the circle. For example if we see two…
Icelix
- 23
2
votes
0 answers
How do I estimate the derivative of the current position, when I have only values from past to present?
If I have a discrete real-time signal $x[n]$, with its latest value $x[i]$ and all its past values $x[i-t]$, how can I estimate the derivative at $x[i]$?
JustGoscha
- 121
2
votes
1 answer
Bandpass filter with Fourier and inverse.
My understanding of signals is limited. I did a signal processing subject in engineering, but I can't say I got much from it. For me, the subject wasn't taught with enough 'real world' explanation - all mathematics.
I want to take a signal from an…
user122483
- 21
2
votes
2 answers
How to confirm if all points lie on sine wave.
Given at least 3 points $(x_{i}, y_{i})$, how to confirm if all points lie on a sine wave? Or alternatively, how to determine the parameters of a sine wave that best fits the data (I'm guessing amplitude and phase would be sufficient?).
Context: I…
Mike Jones
- 29
- 3
2
votes
1 answer
If two signals are disjoint in the frequency domain, are they uncorralated?
If two signals are disjoint in the frequency domain, are they uncorralated?
I think that I am not understanding the frequency domain concept :(
2
votes
0 answers
Is the periodicity of the autocorrelation function necessary and sufficient to determine periodicity of the signal?
I have a question regarding autocorrelation function and detecting periods of a signal. I would like to know/prove if the periods of the autocorrelation function can be found in the signal and vice versa.
Any periodicity of the signal is a period of…
Tim
- 31
2
votes
0 answers
How to evaluate $|f(x+\varepsilon)-f(x)|$, where $f$ is elementary function and $\varepsilon$ is random variable?
Recently, I have derived a important indicator in my research on signal processing. Unfortunately, the later problem of theoretical analysis really gets me.
This indicatory is denoted as $y$
$$y=\frac{|a_1|-|a_2|}{|a_1|+|a_2|}$$
where $|a_1|$ and…
Wannier
- 31
2
votes
1 answer
What are Autoregressive Coefficients?
Can anyone explain what are Autoregressive Coefficients? What is their meaning that is.
Consider a method:
public double[] calculateARCoefficients(double[] inputseries, int order)
When this method is called on 256 values, lets say these values…
LucasSeveryn
- 293
2
votes
0 answers
Checking if (discrete) signal is stationary, BIBO stable and
I have this discrete signal
y[n] = sum (x[k+1]h[k-1]), where k goes from -inf to +inf.
I need to check if this signal is stable, stationary, and if it's invertible, i need to find it's inverse signal.
Now, i know that signal is stable if for…
idjuradj
- 121
2
votes
2 answers
Express $\cos(5t)$ with the help of Euler formula
I can't figure out, how to express $\cos(5t)$ in the form $e^{j\omega t}$. I don't even know the right answer. How would you deal with this task?
user50222
- 978
2
votes
1 answer
How to determine the function of this "black-box"?
Imagine a black box which accepts a digital input signal which is a pure sine wave and outputs the area between this input signal and some constant data set over a sample window.
Given the input and output signals, is it possible to determine the…
2
votes
1 answer
Determining LTI responses
If I consider a LTI system whose response to the signal $x_1(t) = u(t) − u(t − 1)$ is the signal $y_1(t)$. How would I determine the
response $y_2(t)$ of the system to the input $x_2(t)$ shown in the figure below in terms of $y_1(t)$?
I should add,…
Drew U
- 199