Recent content by ahamdiheme

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    Solve Autocorrelation of WSS RP and Modulated Carrier Cos(w0t+Θ)

    I am given the autocorrelation of a wss rp which modulates a carrier cos( w0 t + \Theta ). I am to find the autocorrelation of the output Y(t). I have found the autocorrelation of the carrier and I'm not sure what to do next. If it were possible to get the rp from its autocorrelation, it...
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    Undergrad Is This Norm Equality Correct for \( Ax \)?

    I just want to verify if the following is correct \left\right\|x\|2.\left\right\|A\|2= \left\right\|Ax\|2 Thanks
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    Undergrad Confirming Stationary Minima & Convexity of a Function

    Considering the shape of the graph, that makes it convex right?
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    Graduate Proving the Properties of Pseudo Inverse and Transpose

    I got it. All that needs to be done is to show that it satisfies the four penrose properties which state that (1) AGA=A (2) GAG=G (3) (AG)T=AG (4) (GA)T=GA By letting A=xyT and G=the right hand side, this can easily be...
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    Undergrad Confirming Stationary Minima & Convexity of a Function

    If the stationary points of a function are minimum points does that qualify the function to be a convex function? Also, if the function has only one stationary minimum point does that mean that that point is its global minimum? Can someone please confirm these for me Thank you
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    Proving Convexity of g with f's Convexity

    Homework Statement Let f:Rn\rightarrowRnxmtex] and b\inRn. Define g:Rm\rightarrowR by g=f(Ax+b) Show that g is convex if f is convex Homework Equations The Attempt at a Solution I need hints on how to go about this please.
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    Graduate Show Proving Convexity of f(x)=||x|| Function

    that is it, Thanks a lot!
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    Graduate Show Proving Convexity of f(x)=||x|| Function

    How do i go about showing that if f(x)=\left\|x\left\| then f(x) is a convex function. I'm thinking in the direction of the triangle inequality but don't know how to go about it. Any clues? thanks
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    Graduate Proving the Properties of Pseudo Inverse and Transpose

    I have been battling with this for hours now, i just keep getting stuck. It is to show that: (xyT)+=(xTx)+(yTy)+yxT After expanding the left side, leting xyT=A. I get stuck at (yxTxyT)+yxT I have tried from both sides of the equation, but can't arrive at the expected result. Any clues?
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    Finding Constants for a Gaussian PDF

    that relationship, i know. the m' goes with \sigma'. Hope u understand what the question says now. It seems a little confusing but that's the exact way the textbook put it. Thank you
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    Finding Constants for a Gaussian PDF

    no the new deviation is \sigma'
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    Cauchy Random Variable Homework with Equations and Attempt

    Is anyone going to help me out on this one? I need your help. Here i will re-post as .jpg. Thank you
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    Cauchy Random Variable Homework with Equations and Attempt

    Homework Statement I have attached the problem statement Homework Equations Also find attached The Attempt at a Solution My attempt is attached together with the problem statement and the relevant equations.
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    Inner Product and Orthogonal Complement of Symmetric and Skew-Symmetric Matrices

    Homework Statement Consider the vector space \Renxn over \Re, let S denote the subspace of symmetric matrices, and R denote the subspace of skew-symmetric matrices. For matrices X,Y\in\Renxn define their inner product by <X,Y>=Tr(XTY). Show that, with respect to this inner product, R=S\bot...
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    Finding Constants for a Gaussian PDF

    Homework Statement The exam grades in a certain class have a Gaussian PDF with mean m and standard deviation \sigma. Find the constants a and b so that the random variable y=aX+b has a Gaussian PDF with mead m' and standard deviation \sigma'. Homework Equations The Attempt at a...