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Equation 3 · Part 5 · Comparing the Main Approaches to Chiplets and Advanced Packaging

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BA  ≈  fbp2,B_A \;\approx\; \frac{f_b}{p^{2}},
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What this part means

Approximately equal to; the equality is not exact.

Its job in the formula

Approximately equal to; the equality is not exact.

The passage around this formula

Shortening the electrical path this way has a direct, quantifiable effect on how much bandwidth a given joint area can carry. Treating the joint as a grid of independent connections at pitch p , each connection occupying roughly p2p^2 of area, gives a first-order areal bandwidth density BA  ≈  fbp2B_A \;\approx\; \frac{f_b}{p^{2}}. where fbf_b is the data rate carried by a single connection. The relationship is quadratic in pitch, not linear: halving the pitch alone — with no change to the per-connection data rate — quadruples the number of connections available in the same area, and therefore roughly quadruples aggregate bandwidth density. That is why the packaging industry has spent so much engineering effort on pitch…

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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