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    Rearranging parametric equations

    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...
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    Microcode and microstore in VHDL?

    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...
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    Expressing probability of bit error

    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...
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    Correlation between random variables

    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}##...
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    Determining PSD of 1uaternary (4-ary) line code

    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...
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    Setting up a power spectral density problem

    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...
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    Probability distribution and cumulative distribution function q's

    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...
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    Joint PDF of two continuous random variables

    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...
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    Guassian Probability density function

    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...
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    Reconstructing a signal using an equilizer filter function

    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 $$p(t)=∏(\frac{t}{T_s}-\frac{1}{2})$$...
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    Finding the sampled signal - Fourier series and integration problems.

    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)##...
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    Calculating Nyquist sampling rate and interval

    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...
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    Creating Flange or Variable Delay DSP model

    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...
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    Implementing a function in simulink simulation

    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...
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    Defining a function in matlab

    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)=...
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    Cross correlation in matlab

    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...
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    Creating a triangular waveform in Matlab

    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...
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    Residue theorem

    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)...
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    Linear Phase system?

    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...
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    Finding the frequency response of an IIR filter

    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...
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    Interpreting a signal block diagram to form transfer funciton

    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...
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    Calculating the Inverse Discrete time Fourier transform

    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...
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    Rewriting x(k) So i can calc a Z Transform

    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...
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    Simplifying cosine and sine expressions

    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...
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    Inverse Z transform with residue method

    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...
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    Defining a Signal. periodic, bounded finite etc.

    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...
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