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
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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…
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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
- 103
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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
- 439
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Find the non null complex Fourier coefficients
I'm doing my homework on signal processing in MatLab and I'm stuck on an exercise.
I'm given this signal $x(t)=1 + 2\sin(12\pi t+\frac{\pi}{4})\cos(21\pi t);$ and I have to get the non null complex Fourier coefficients using this expression…
Favolas
- 803
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- 15
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LTI: Is my calculation of the frequency response correct?
i am not sure if my computation is correct. Hope someone can have a look at it.
Here is my problem:
\begin{aligned}
H[e^{j\omega}] & = \sum_{m=0}^{\infty} (\frac{1}{2} e^{-j\omega})^n = \frac{1}{1-0.5e^{-j\omega}}\\
H[e^{j\omega}] & =…
madmax
- 439
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votes
1 answer
Complex Exponential Sequence (Discrete-time exponentials) factor equalling 1?
I'm reading page 10 of Schaum's ouTlines "Signals and Systems" by Hwei P. HSU, and I don't understand why this factor in the complex exponential sequence equals 1.
Consider the complex exponential sequence with frequency ($\Omega_{0} + 2\pi k$),…
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nth generalized derivative (of a generalized function: delta function) formula
I'm reading page 8 of Schaum's ouTlines "Signals and Systems" by Hwei P. HSU, and I'm not understanding where this formula for the nth generalized derivative (of a generalized function) comes from:
If $g(t)$ is a generalized function, its $n$th…
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Why the correct plot of a $x(t)$ signal is $2r(t-1) - 2r(t-3) - 4u(t-3)$ and not $4r(t-1) + 4u(t-3)$
I'm new with this kind of mathematics and I would like to know why this graph is
represented by
$x(t)=2r(t-1) - 2r(t-3) -4u(t-3)$
if I were to represent the signal above with basic functions (unit step and unit ramp functions) I would say that…
Phill Alexakis
- 129
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What is the fundamental period of 4sin(21t-1)
From my calculation the fundamental period is $\frac{21\pi}{2
}$ is this correct?
Jhon22
- 1
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Highest power of $z^{-1}$ from pole-zero plot
These questions are from a topic called 'z-transform'.
There's dots for zeros and crosses for poles in this diagram. Since zeros are roots of numerator, and poles are roots of denominator, so I think the function should…
Ryder Rude
- 1,417
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1 answer
How to express a continuous signal with basic functions
My goal is to express this continuous signal by using $u(t)$ (unit step) and $r(t)$ (unit ramp)basic functions
$u(t)$
$r(t)$
The signal
So i would say that $x(t) = u(t) - r(t-1)$
Although my calculation is wrong, i have to add $+r(t-2)$…
Phill Alexakis
- 129
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1 answer
How to determine divisor for composite sine wave
Suppose I added two sine waves $f(x) = sin(2\pi x)$ and $g(x) = sin(2\pi x)$ together and then divided by 2 like this $\frac {f(x) + g(x)}{2}$. If I plot this I get a graph where all three sine waves have a max amplitude of 1. However, I've…
dover
- 15
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1 answer
Causal LTI System Analysis
The topic of this question is the causal linear time invariant system (LTI system). I need some help to understand better how to go from this formula
$$ y(t)=\int_{-\infty}^{+\infty} x(τ)h(t-τ)dτ\label{1}\tag{1}$$
to this one:
$$y(t)=\int_{0}^{t}…
DontAskTheEye
- 185
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1 answer
response impulse function
my question is related to time series modeling in signal form,i have such question,suppose we have time series data $y_1........y_n$,how can we represent in impulse response form?as i understood when i read different literature's,we…
dato datuashvili
- 9,194
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1 answer
What is the mathmagic involved to convert a gain equation in terms of discrete formula
Sorry my poor knowledges about advanced math.
Consider this post that talks about biquad filters.
At the beginning of the post the author shows the filter's transfer equation is
$$
H(z) = \frac{Y(z)}{X(z)} = \frac {b_0 + b_1 z^{-1} + b_2 z^{-2}} {1…
Duck
- 218