Homework Statement
I am given a line that passes through the points (x0, y0, z0) and (x`,y`,z`) and a plane in 3D space being defined by these three nonlinear points (x1, y1, z1), (x2, y2, z2), (x3, y3, z3).
Im directed to use cramers rule to find the intersection of the line and plane...
Homework Statement
So i am trying to understand what Microcode is in VHDL terms or Microstore for that matter. My course's lecture is a bit weak and i do most of my learning through text books that I have access too and researching online. However when I search for microcode online I come up...
Homework Statement
I need to the probability of bit error in terms of integrals and terms of conditional probabilities.
Its a bipolar system using threshold detection
https://www.physicsforums.com/attachment.php?attachmentid=58542&stc=1&d=1367888259
Homework Equations
probability of...
Homework Statement
Find correlation between random variables x and y in the following:
$$P_{x,y}(x,y)=A \ xy \ e^{-(x^2)}e^{-\frac{y^2}{2}}u(x)u(y)$$
Homework Equations
The co-variance ##\sigma_{xy}=\overline{(x-\bar{x})(y-\bar{y})}## or ##\sigma_{xy}=\overline{xy}-\bar{x}\bar{y}##...
Homework Statement
Ok So this is an example from my text. Im having trouble following a portion of it and was curious if anyone could shed some light on it. Ive typed most of it and posted a screen shot of the second portion since there is a table involved.
Determine the PSD of the...
Homework Statement
Im having some trouble setting up this problem.
##x(t)## is a polar signal with random binary data. The data is independent from bit to bit. ##P(0)=P(1)=\frac{1}{2}## Assume ##a_n=+/-1##.
The fundamental pulse shape is attached.
I need to find the Power spectral density...
Homework Statement
$$P_x(x)=A(1- \frac{|x|}{2}) \ \ \ |x|≤2$$
$$P_x(x)=0 \ \ |x|>2$$
Find A
Homework Equations
The Attempt at a Solution
This one shouldn't be too bad but I wanted to verify that im on the right track.
I basically have ##P_x(x)=A(1- \frac{x}{2})## when x≤2. 0 otherwise...
Homework Statement
The joint PDF (probability density function) ##p_{X,Y}(x,y)## of two continuous random variables by:
$$ p_{X,Y}= Axy e^{-(x^2)}e^{\frac{-y^2}{2}}u(x)u(y)$$
a) find A
b) Find ##p_X (x), \ p_{y}, \ p_{X|Y}(x|y), and \ p_{Y|X}(y|x)##
Homework Equations
The first...
Homework Statement
The PDF (probability density function) of a Gaussian variable x is given by.
$$p_x(x)=\frac{1}{C \sqrt{2 \pi}} e^{\frac{-(x-4)^2}{18}}$$
a) Find C
b)find the probability of x≥2 --> ##P(x≥2)##
Homework Equations
$$ \frac{dF_X(x)}{dx} x=P(x<X≤x+Δx)$$
The...
Reconstructing a signal using an equilizer "filter" function
Homework Statement
A low pass signal g(t) is sampled at a rate of ##f_{s} > 2B## needs to be reconstructed. Sampling interval is ##T_s=\frac{1}{f_s}##
The reconstruction pulse to be used is
$$p(t)=∏(\frac{t}{T_s}-\frac{1}{2})$$...
Homework Statement
The signal g(t) is band limited to B Hz and is sampled by a periodic pulse train ##PT_{s}(t)## made up of a rectangular pulse of width ##1/8B## second (centered at the origin) repeating at the nyquist rate (2B pulses per second). Show that the sampled signal ##\bar{g}(t)##...
Homework Statement
Determine the Nyquist sampling rate and the Nyquist sampling interval for this signal.
sinc(2100\pit)
Homework Equations
N/A
The Attempt at a Solution
Ok I know that the Nyquist sampling rate is double or 2 times the bandwidth of a bandlimited signal. So I...
Homework Statement
Im trying to model this in simulink. Im having a little trouble getting things to work. I need to create a variable delay model or basically implement a "flanger" effect.
Flange
A flange is an audio effect, which is achieved by combining two identical signals with each...
Homework Statement
The problem statement essentially has me inputing a signal into simulink manipulating it and then looking at the output.
My output function is defined as $$y(n)=0.8x(n)+0.5x(n-1)+0.2x(n-2)$$
Homework Equations
N/A
The Attempt at a Solution
In my simulink...
Homework Statement
Ok so Im slowly learning the syntax and various functions of Matlab. I am triyng to design and plot an FIR bandpass filter. Below is a coefficent h(k). I need to define this h(k) in 3 parts from what I understand. for k=0:p-1, k=p, and k=p+1:m to satisfy.
h(k)=...
Homework Statement
Let x(t) be a transmitted radar pulse. The received radar pulse is y(t).
y(t)=ax(t-t_{d})+v(t)
Where v(t) is the additive noise and td is the time delay. The signals x(t) and y(t) are sampled and processed digitally to determine the delay
The discrete time signals...
Homework Statement
Create 512 element triangular waveform (In Matlab)
x(k)= k 0≤k≤7
8-k 8≤k≤23
-32+k 24≤k≤31
For 0≤k≤31
repeating every 32 elements.
Homework Equations
N/A
The Attempt at a Solution
Ok so im confused on how to code...
Homework Statement
Consider the following Z tranform
X(z)=\frac{z^{-1}}{1-2z^{-1}+2z^{-2}}
Calculate the poles and resides by hand.
Homework Equations
To find residue at pole p1
(z-p_{1})X(z)z^{k-1} Evaluate at z=p_{1}
The Attempt at a Solution
OK so ive taken the X(z)...
Homework Statement
A filter with the following impulse response
h(k)=(-.75 .5 0 -.5 .75)
find H(z)
Is its a linear phase system?
Is it a high pass filter?
Homework Equations
h=[c0, c1, c2, c1, c0] <--- I think this is valid for this problem anyway
The Attempt at a Solution...
Homework Statement
IIR filter with poles at .7±j0.2 and zeros at 0.2±j0.7
Calculate H(f) and the Differance Equation when the DC gain |H(f=0)|=4
The Attempt at a Solution
I know to find H(f) I can evaluate H(z) along the unit circle. so H(z) evaluated at z=exp(j2pifT)
However...
Homework Statement
Given the following block diagram. Calculate the transfer function H(z) and find \theta (f=\frac{f_{s}}{6})
Homework Equations
H(z)=\frac{Y(z)}{X(z)}
The Attempt at a Solution
Ok So I know i need to find my y(k) output equation from this. I can then rearange the...
Homework Statement
Let the DTFT (Discrete time Fourier transform) of a signal be
Y(f)=
{1 0≤lfl< \frac{fs}{8}
{0 Otherwise
Calc y(k)
Homework Equations
y(k)=\frac{1}{f_{s}}\int Y(f) e^{jk2\pi fT}df lkl≥0
The Attempt at a Solution
So what I understand from this is that my Y(f) is...
Homework Statement
Let x(k)=
0 k<0
0.6^k 0<=k<=21
0 k>21
Calculate X(z)
Homework Equations
Z transform
The Attempt at a Solution
Ok so i think calculating the Z transform of this wont be too difficult for me at all. I just have a hard time with...
Homework Statement
So im a little rusty on my basic math and I am trying to simplify this expression. In case you were curious the expression came from a signal block diagram that I calculated the transfer function H(z) to then found the frequency response H(f) and I think i have done that...
Homework Statement
X(z)=z/(z-.7)^2
Use the residue method to calculate x(k)
Hello,
I have this exercise that I am trying to complete. Im not really familiar with the residue method and am having a hard time finding a good example on line. The section in my book does not describe it...
Im having a little trouble about how to go about defining this signal. It has a sqrt(-1) in it raised to a power so this is where i get confused. No doubt my poor algebra skills may be holding me back from understanding this problem.
The signal is x(k)=j^-k u(k)
I need to determine:
A...