**239 transfer-function questions.**

If Anti-causal systems are defined as those whose output depends solely upon future inputs.(Is this definition correct as I understand)
So i see that $y[n] = x[n+2]$ ; is anticausal system
How is a ...

I am new into the RF measurements. I was measuring the S11/S22 (reflection) parameters of an RF attenuator (with different attenuation levels, e.g., 10 dB) via a vector network analyzer from Rhode &...

From my studying difference equations and transfer functions, I understand that when a complex exponential input $x[n]=z_1^n$ is applied to an LTI system with transfer function $H(z)$, determining the ...

I'm using reference from here and here.
This is Laplace transfer function of DC Control Speed System:
$$\frac{\omega(s)}{V(s)}=\frac{K}{(Js+b)(Ls+R)+K^2}$$
Where,
$\omega$ is the motor angular ...

Prelude
I am writing an elaborate text on the relationship between the real and imaginary parts of a LTI causal system and how stability, causality and analyticity imposes various constraints on its ...

the transfer function of my causal filter is $G(z)=\dfrac{1}{(1+\dfrac{1}{2}z^{-1})}$, $z$ being the formal z-transform. The parameters in the controllable canonical form are therefore $a_0=1$, $a_1=0$...

I have a measurement of the complex part of the refractive index $k$ (where the refractive index is $m = n + i\,k$) measured at a nonlinear grid of wavelengths or frequencies that span several orders ...

Quite simply, I have a bode plot obtained from a source signal.
Now I wish to obtain the transfer function.
I know it is possible with Matlab: http://www.mathworks.com/help/ident/examples/frequency-...

How can we check whether the filter is realizable given its transfer function and What are the parameters the realization depends on?
Here is an example:
Show that a filter with transfer function
...

The solution to the problem is $$y(t) = 5 + \frac{20}{\pi} \sin(\pi t) + \frac{20}{3\pi} \sin(3 \pi t) $$ and to get that the solution says to find the Fourier series expansion of $x(t)$ and I am ...

I have the following system
where $$G(s)=\frac{0.5}{s+1}+\frac{5}{s+10}$$
How can I design the C(z) controller so that the steady state error for a step input r(t)=1(t) is zero?
I know that this ...

I am looking for an exact analytic description of a filtered signal. I have an electronic circuit whose input is a monoexponential decay. First (1) the signal gets filtered by a simple RC-Lowpass. ...

I get it, about poles and zeroes, when we talk in terms of the transfer function.
But, if the transfer function is the ratio of the output to the input, then if the input signal is zero, then the ...

I will first give a short explanation of what I am asking, and then give a more comprehensive context.
If we have a LTI dynamic system acted upon by inputs $y(t)$ and producing outputs $x(t)$,
,
we ...

A discrete time system is described by the following system of equations.
$$q[n] = \big(x[n]-\frac k4q[n-1]\big)$$
$$y[n] = \big(q[n]-\frac k3q[n-1]\big)$$
Find the systen function and then find the ...

What is the meaning of the transfer function of a filter? Please explain intuitively with an example if possible.

I have the following inverse system
$$G(s)= s^2 + 2s + 3$$
How do I implement it in Simulink? Note that the transfer function is only accepted if and only if the order of the numerator is less than ...

Suppose i have the system equation
$Y(s) = G(s)X(s)+ 3T(s)$
Then what is the transfer function of the system?
I know that the transfer function is $Y(s)/X(s)$, but i can't get that expression.

I have calculated the transfer function of an FIR filter
$$
y[n] = x[n] + α · x[n − R]
$$
This is what I have
$$
H(z) = 1 + αz^{-R}
$$
Now I should plot the square of the amplitude response. So I ...

So I got this discrete LTI system of which the transfer function is defined by H(z).
Given the state space model: x[k+1] = A x[k] + B u[k] and y[k = C x[k] + D u[k]
the Z-transform can be written ...

I have input and output data (x and y), the signal I am interested in is on y but it is noisy. The noise is coherent and also recorded by x. I am trying to remove the noise using a transfer function (...

I'm working on a power systems where I have 2 linearized transfer functions. The first transfer function corresponds to the no-load case and the second transfer function corresponds to the full-load ...

I am trying to compare the transfer functions of k different microphones and need some advice on my current approach. As of now, I have attempted the following:
Play a pink noise test tone $(X)$ ...

The transfer function is $$H(z)=(z+1)/(z^2+z+0.5)$$
I need to find the impulse response h[n] of a causal system with x[n] as unit impulse.
I have tried to find the impulse response by the following ...

Consider the following causal IIR transfer function:
$$ H(z) = \frac{2z^3 - 4z^2 + 9}{(z-3)(z^2+z+0.5)} $$
Is $H(z)$ a stable function? If it is not stable, find a stable transfer function $G(z)...

I have recently fallen into fallacy, considering pole s=1 as there is infinite response at frequency 1. Yet, response was only 1. Now, can you derive the frequency response, given the poles?
...

Given an absolutely summable signal $x[n]$, the $z$-transform $X^z(z)$ is rational with a pole at $z=0.5$.
Given the following the statements:
$x[n]$ has a finite support in the time domain.
$x[n]$ ...

In the development of Hilbert transform relationships, Prof. Oppenheim has chosen
\begin{equation}
\int_{-\pi}^{\pi}X_R\left(e^{j\theta}\right)\sum_{k=-\infty}^{\infty}\delta(\omega-\theta-2\pi{}k)d\...

I am working though a dsp past paper and I have come across the questions "find the impulse response in the time domain" & "find the transfer function in the time domain" I know its really simple ...

Given that:
$H(z)$ has 4 poles maximum.
$H(z)$ has a pole at $z_1=a+bi$
Given that the impulse response $h[n]$ is:
Symmetric: $h[n] = h[-n]$
Real: $\forall$$n$ , $h[n]$$\in$$\mathbb{R}$
How we can ...

I'm trying to create a equalizer (in JAVA) and I made few assumptions but I'm not sure if I'm true or false about the use of the filters. Here is the list of the points I'd like to check.
1/ I'm ...

For a school project I have to hand in a small report on a this problem. I've been studying so much for it but right now I'm just mixing up everything I've seen and just don't know where to start. I'd ...

I have an audio signal that I am applying an analogue transfer function $H(s)$ to. I would like to approximate the change in gain ($\Delta \text{ Gain}$) as perceived by the listener for an arbitrary ...

I have some simple questions regarding DSP and Control Systems, but found no simple answers. I just need simple and easy to understand answers, not complex answers with huge maths.
Why we use ...

Let the input signal $x(n) = \sin{2\pi\frac{1}{4}n}$ go in to the system described by: $$y(n) - y(n-1)+\frac{3}{16}y(n-2) =x(n).$$
What is the output signal?
I've calculated the system function $H(...

$$h[n]=\begin{cases}a^n & \text{if } 0 \le n < N \\
0 & \text{otherwise}\end{cases}$$
And for which values of $a$ the filter is stable
I know that the transfer function will be
$$H(z)=\...

I'm trying to model a transfer function for a noisy audio system, specifically to measure delayed system response. Before I can confidently apply control, I need to verify that I can exert control ...

Please help me in solving the following problem:
Find the pulse transfer function and weighting sequence of the system described by the following difference equation: $$y[k+2]+ y[k+1]+(0.89)y[k]=r[...

I have been told in the university that the natural frequencies (also called $\textit{eigenfrequencies}$) are the poles of the transfer function, however, Matlab compute them as the modulus of the ...

I am currently studying two Butterworth and Chebyshev low-pass filters of order $n =3$ and $n=2$ respectively, whcih are in fact two prototypes to make a bandpass filter. The transfer function that I ...

I'm dealing with logarithmic system $\log_{10}(y(t)) = m \log_{10}(x(t)) + b$, and I need to find the transfer function, $Y(s)/X(s).$
What is the Laplace transformation of $\log_{10}(f(t))$?
What I ...

Find the transfer function of the difference equation $$y_n = x_n + 1.2y_{n-1}$$
I fail to understand how one can distinguish between an FIR filter and an IIR filter by looking at the equation given ...

I have a filter with the transfer function
$$H(z) = 1 - 2z^{-2} + z^{-4}.$$ The task is to find the phase function $\theta (\omega).$
My attempt is to start by expressing the frequency response
\...

I have a closed loop transfer function
$$G_{\rm cl}(s) = \frac{k}{s^{2} + s + k}$$
I am trying to find the critical gain of the system. From using the Routh Hurwitz criterion I get a $k = 0$.

I'm trying to convert the following IIR transfer function from the s-domain to the z-domain:
$$
H(s) = \displaystyle\frac{\frac{s^2}{\omega_z^2} + 2\zeta_z\frac s\omega_z + 1}{\frac{s^2}{\omega_p^2} + ...

This answer and the comments in it made me wonder whether the following statement is true:
If a transfer function is improper, then that system cannot be causal and stable at the same time.
I had ...

Assume we have a signal repeater, a simple repeater that amplifies the signal then transmits it as is.
Does the output power of the repeater is dependent on the received signal at the repeater ?
for ...

To make post-processing easier, I export scope measurements as CSV files, which are then post-processed (mostly in Microsoft Excel, which is not the best tool for the job, but it is all I have at my ...

What is the transfer function of this system y(n) =2y(n-1)? Here there is no input dependence. If you give one output sample, all the future output samples are determined by multiplying with 2.

- filters
- z-transform
- frequency-response
- control-systems
- discrete-signals
- laplace-transform
- matlab
- fourier-transform
- filter-design
- linear-systems
- infinite-impulse-response
- impulse-response
- poles-zeros
- homework
- signal-analysis
- stability
- state-space
- frequency-spectrum
- convolution
- frequency
- fir
- python
- continuous-signals
- system-identification
- causality

- What is Pathfinder's relationship to D&D?
- Is this minesweeper board inconsistent?
- Is a unit vector really unitless and dimensionless?
- how can a society maintain its population if it considers maternal death rates a sign of weakness?
- What happened to my almonds?
- Harry’s power from his mother
- Vertical dots with same height as colon
- How do we feed a character whose mouth is magically sewn shut?
- How can I align using tabs in enumerate?
- Is it possible to polymorph 2 characters into a Tarrasque using True Polymorph?
- How many short rests per day?
- Is there a non-deterministic version of the complexity class PP?
- Why do credit card issuers offer a grace period?
- Why do western monotheistic religions seem to be so full of conflict over dogma?
- Why are IPv4 addresses running out?
- Last computer not to use octets / 8-bit bytes
- What would shake a galaxy and what would shake the universe?
- Does the beholder's charm ray really take a PC out of the fight like this?
- Is there a tank priority sequence for using the fuel tanks?
- How to get decimal value of weight in mini cart?
- Constant "periodization" of a function
- How did the Kavanaugh confirmation move so quickly despite the serious allegations?
- builtin [ , -bash: [: missing `]'
- Just started a postdoc, but it went REALLY bad, REALLY fast. Stay or go?