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lec12_interconnect_crosstalk

lec12_interconnect_crosstalk - Interconnect High Frequency...

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High Frequency Effects and Interconnect Cross talk Interconnect High Frequency Effects and Cross talk Ref: Fundamentals of Microsystems Packaging (Ch 4) edited by Rao R. Tummala Digital Signal Integrity, ISBN 0-13-028904-3 Bakoglu and Notes
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High Frequency Effects and Interconnect Cross talk High Frequency Effects High Frequency Effects Frequency L R R dc L int + L ext Inductance is not constant but varies with frequency and so does Resistance
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High Frequency Effects and Interconnect Cross talk Current Distribution (CD) Related Effects Current Distribution (CD) Related Effects Uniform CD Current starts crowding near the surface Heavy Current concentration near the surface s δ Skin Depth
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High Frequency Effects and Interconnect Cross talk Skin Effect in Interconnects Skin Effect in Interconnects Skin depth in conductor High-frequency approximation (W,T >> δ s ) 0 0 1 σ μ π μ π ρ δ f f s = = s δ W T current density depth into conductor δ s 0 for copper at 1 GHz: ; at 10 GHz: m s μ δ 7 . 0 2245 m s μ δ 1 . 2 2245 Edge effect
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High Frequency Effects and Interconnect Cross talk Proximity Effect Proximity Effect Opposing high frequency (HF) currents in close proximity are drawn to each other + - HF current distribution in an isolated wire HF current distributions in two wires in close proximity carrying opposing currents Return current in ground plane close to signal trace
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High Frequency Effects and Interconnect Cross talk Interconnect array Interconnect array -0.5 0 0.5 1 1.5 2 2.5 x 1 0 0.5 1 1.5 2 2.5 x 10 -4 -5 0 5 10 15 x 10 -5 Diameter : 30 um Length: 100 um Pitch: 60 um
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High Frequency Effects and Interconnect Cross talk +1 -1 0 -1 +1 +1 -1 0 -1 +1 -1 +1 -1 +1 -1 +1 -1 +1 -1 +1 -1 +1 -1 +1 -1 Current density distribution (100 Current density distribution (100 MHz, 1 GHz) MHz, 1 GHz)
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