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
1
vote
1 answer
Expressing a function in terms of sinc(t)
Given the function:
$S(t) = sin(t/\Delta)/t$
How can one express this function in terms of:
$S(t) = sin(t)/t$
Thanks!
user2398029
- 325
- 1
- 13
1
vote
2 answers
Nyquist-Shannon sampling theorem - original version and modern version difference?
I just found out that the original version of Nyquist-Shannon sampling theorem differs from the modern version..
In the original version, it states that the bandlimited signal $x(t)$ can be constructed by the sampling rate of $2B$ when $B$ is the…
user27515
- 895
1
vote
0 answers
averaging of multiple curves for signal processing
I have response (vibration amplitude over frequency steps) measured over various point on my structure.
In simpler way: i have 5 response curves(amplitude vs frequency plot) from same structure is there way to express them as average curve. i want…
Engg Mechie
- 11
1
vote
0 answers
Filter transfer function to state space
I'm trying to change this filter transfer function to state space representation
$ y_t=\frac{1+b_1 z^{-1}}{1+a_1 z^{-1} +a_2 z^{-2}}u_t $
I tried writing it as time series
$ y_t+a_1 y_{t-1}+a_2 y_{t-2}=u_t+b_1 u_{t-1} $
Here is where I am not…
al_hamnan
- 11
1
vote
1 answer
Signal fundamentals
I just finished reading the fundamentals chapter about signals (linearity,causality,memory and time invariance). I wanted to solve some exercises and I found this one.
We have a signal with output described by
$$y(t) = \int_t^{t+1}x(\tau-a)\;d\tau…
john_paker
- 13
1
vote
1 answer
Signal to odd and even
I have a signal that is described below
$$x(t) = \begin{cases} -1, & t<0 \\
2t-1, & 0\leq t<1 \\
2-t, & 1\leq t<2 \\
0, & t\geq 2
\end
{cases}$$
$$x(-t) = \begin{cases} -1, & t>0 \\
-2t+1, & -1\leq t<0 \\
t-2, & -2\leq t<-1 \\
0, & t\leq…
place_gpon
- 25
1
vote
1 answer
Determine a time signal from another time signal
The given time signal is:
$$u(t) = -3\sigma(t+4) + 6\sigma(t) - 3\sigma(t-4)$$
$\sigma$ - unit step function
The same signal can be describes with the following mathematical relation between $u(t)$ and $u_1(t)$:
$$u(t) = u_1(t-t_0) -…
Marc
- 113
1
vote
1 answer
How to extract module and phase from this transfer function?
I have this transfer function:
$$H(x)= \frac{1}{x+i(1+x)}$$
How can I extract module and phase and represent them?
Advicer
- 113
1
vote
1 answer
hamming window eqation formula problem
can anybody know when to take hamming window equation
$$w(n) = 0.54-0.46\cos(2\pi n/M)$$ or
$$w(n) = 0.54+0.46\cos(2\pi n/M)$$
i am confused between $+$ and $-$ sign..
which sign wil be considered for which condition?
imconfused
- 11
1
vote
1 answer
Magnitude of $H(\Omega)$
Could someone nudge me in the right direction on how to get the magnitude of
$H(\omega) = (1-\sqrt(2)e^{-j\omega}+e^{-2j\omega}) / (1-.5\sqrt(2)e^{-j\omega}+.25e^{-2j\omega})$
If it was just a two term denominator and numerator I could just use…
nitiger
- 163
- 7
1
vote
1 answer
How did they get this result through parseval's theroem?
How did they get this result. It does not make sense, can anybody show me how they derived this result. My question is how did they totally remove e^(jkwot), by what identity and I know it is modulus so it has to be squared, but I tried several…
user153322
- 31
0
votes
1 answer
choose appropriate sampling frequency for yahoo data
let us consider following data from finance.yahoo.com
http://finance.yahoo.com/q/hp?a=&b=&c=&d=8&e=16&f=2014&g=d&s=MTLA.HM%2C+&ql=1
for MOTOROLA SOLTN (MTLA.HM), i want to analyse for example its spectra; structure ,identify if it contains some…
dato datuashvili
- 9,194
0
votes
1 answer
operative priority with multiple signs
hi everyone I'm confused with the following problem.
-+-(-5)
how I can resolve this?.
first change the value inside of parenthesis or I begin from left to right?.
Premier
- 103
0
votes
1 answer
Signal processing question explanation
We have the system :
$$y(k)= |x(k)| +x(-k) + 2x(k-2)$$
In my book it says that this system is not causal and also not stable. I would like a detailed explanation.
Edit : its y(k)
user3543012
- 139
0
votes
0 answers
Total change of a signal overtime
I have some signals whose analytic type I do not know. I can only sample them every 0.1 secs. I want to pick that signal that changes as little as possible. For example, between sin2t and sint I would like to pick sint. What characteristic of the…
Controller
- 387