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gballan

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VirtualHere allows USB devices to be used remotely over a network

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Things I've learned about building CLI tools in Python

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Wideband Spectrum analyzer on your terminal/SSH console with ASCII art

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Understanding and performing Allan variance measurements

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Find Products and Services for Your NEXT Space Mission

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Microwave Rules of Thumb

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There is an approachable explanation in [1], chapter 16 ("Duration-bandwidth relationships and the uncertainty principle"), that says that the product of rise-time and bandwidth of a signal must be greater than some minimum.

[1] Siebert, W. M. (1986). Circuits, Signals, and Systems. McGraw-Hill.

Siebert [1] is great for this stuff (z-transform). The Fibonacci sequence appears in problem 7.2.

[1] Siebert, William McC.. Circuits, Signals, and Systems., McGraw-Hill, 1986.

The analogy speaks to the number of paths that need be considered so that, later, we can find the overall shortest path (there are likely other intermediate places that we're also evaluating, along with Toronto). Once we know the shortest path from Waterloo to Toronto, that's the only one we need to consider (on that segment) from then on.

Cool. I confess I don't have this 100% straight, but it must be related to the CRB for range estimation. For time (equivalent to range) tau, [2, example 3.13] gives it as var(tau) > 1/(Eb/N0 * MSB), where MSB is the mean-square bandwidth of the pulse.

[2] Fundamentals of Statistical Signal Processing, Volume 1: Estimation Theory.

I doubt that the technology choice is so clear cut. I'd guess that the major factors are the group velocity (i.e., the speed of modulation, rather than the speed of a wavefront), the group delay of the analog (roughly 1/bandwidth), and the clock/complexity of the digital stuff (coding and modulation and whatnot). Point-to-point microwave may well be better, but it'd take a while to put a good delay budget together.