Questions tagged [math]

161 questions
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Functional analysis for signal processing engineers

It seems that the most advanced pure mathematics course most EE engineers take is Fourier analysis, and after that it's basically 'applied' courses. There's probably a good reason for this, but I'm not sure what it is. Functional analysis seems like…
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Dummy DSP student request for IDTFT Calculation and Integration Process

We have one DSP course in biomedical engineering, so i have been for 10 years away from mathematical calculation and working in this years by programing by c and ..., so one of our exercise is to calculating the IDTFT of some signals like this from…
Soheil Paper
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Closed form expression for $\sum_{k=0}^{n} \alpha^{-k}$?

I have seen this sum a couple of times now in the textbook and in the problems book but I don't know how to solve it. I know this might be more suited for math.stackexchange but since this is a fairly common sum and is related I'm pretty sure…
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A 3x3 image kernel takes 9 multiplications and 8 or 9 additions for each pixel?

I doubt because you have 9 multiplications and you are adding 9 numbers together, when using a 3x3 convolution matrix. Adding 9 numbers: 1+2+3+4+5+6+7+8+9 We are performing 8 additions as we repeat the operation of 'adding' 8 times (8 times a '+'…
user8005
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How do I carry out SRT Radix-4 fixed-point division with more than a few bits?

I've managed to get a hand on how SRT division works, but I haven't been able to construct a working example. My current sticking point is that e.g. the Pentium floating-point division bug came about because of a few errors in a look-up table for a…
John Moser
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I don't understand how the zeros are found of this 2nd order feed-forward filter

I realized someone asked a question about the exact same section of a book, which can be found here: Question about zeroes of simple 2nd order FIR filter. While the answer to this question looks useful to me I have a question about the what the…
Steve M
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Differential Equations applications in Signal Processing

Does differential and partial differential equations subject has applications in Signal Processing? I have basic DSP background and know Matrix algebra and Fourier transforms very well, but I am not sure how differential equations would fit in. I am…
doubleE
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What kind of math is introduced in this answer related to DSP?

What kind of math is introduced in this answer: https://dsp.stackexchange.com/a/40225/30897 It smells like standard linear algebra course (which I haven't studied, yet), but is it only that? Thanks!
Krushe
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Getting a part of the invert of Si function

I'm working on an algorithmus that sould need the inverse of the SI function. since this last once isn't oviouse to calculate, I'm trying to get only the parobla part from the SI function, to be clair , say I have this figure : I'm only…
Engine
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What is a "functional"?

I have read the wiki page (https://en.wikipedia.org/wiki/Functional_(mathematics) but it is not helping. I understand what a regular function is input > do something to that input > output. but not what functional is, Wikipedia says "from a vector…
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Directional derivative

I know that D ⃗ v f = ∇ f ⋅ ⃗ v Dv→f=∇f⋅v→ is the directional derivative. My question is why must the vector ⃗ v v→ be a unit vector? I am sure there is an obvious answer, but my book doesn't really explain it. Reference…