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Equation 3 · Part 4 · Comparing the Main Approaches to Chiplets and Advanced Packaging

fraction

BA  ≈  fbp2,B_A \;\approx\; \frac{f_b}{p^{2}},
fraction

What this part means

Divide the expression above the line by the one below it.

Its job in the formula

The expression above the fraction bar is divided by the complete expression below it. The denominator must not be zero.

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 fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.

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Sources cited in the article section

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