Impact of On-Chip Multi-Layered Inductor on Signal and Power Integrity of Underlying Power-Ground Net
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1 22 nd IEEE Workshop on Signal and Power Integrity, Brest, FRANCE May 25, 2018 Impact of On-Chip Multi-Layered Inductor on Signal and Power Integrity of Underlying Power-Ground Net Akira Tsuchicya 1, Akitaka Hiratsuka 2, Toshiyuki Inoue 1, Keiji Kishine 1, Hidetoshi Onodera 2 1 The University of Shiga Prefecture 2 Kyoto University This work is supported by JSPS KAKENHI (Grant Number 16K18092) 1
2 Agenda Background and motivation Simulation setup Simulation results Conclusion and future work 2
3 Background Parallel, high-density optical interconnect for high speed data transfer Demand on small area analog front-end Inductor for peaking: ~ 100 mm Inductors needed for bandwidth enhancement Huge area occupied by inductors Signal Ground Signal Ground ch2 ch1 200mm 200mm TIA + Post amp. 3
4 Small Area Inductor Spiral Inductor Solenoid Inductor over 100 mm around mm Top (Thick) metal only High Q-factor Huge area Use lower layers Low Q-factor Small area Solenoid inductor is effective for inductive peaking 4
5 More Area-Saving Is it OK to stack inductor on circuits? Solenoid is smaller, but still needs >50mm Nothing under inductor Modeling accuracy Prevent coupling If stacking is OK, we can save area more Aim of this paper: Investigating coupling between inductor and PDN 5
6 Stacking Inductor on Circuit Power/Ground ring Poly resistor MOS PDN Largest facing area to inductor is PDN (power delivery network) How should we design PDN under inductor? 6
7 Agenda Background and motivation Simulation setup Power/Ground network structure Structure of inductor Simulation results Conclusion and future work 7
8 Power/Ground Structure Inner ring: Circuit s P/G Outer ring: Ideal P/G Core: Area for circuit (amplifier) (a) Sparse (b) Mesh (c) Woven 8
9 3D Image of Mesh and Woven (b) Mesh (c) Woven GND VDD VDD VDD GND VDD GND GND VDD GND Mesh structure Woven structure 9
10 Comparison (a) Sparse Minimize C coupling Small decoupling (b) Mesh M2 (GND) couples stronger Large decoupling (c) Woven Couplings are balanced Large decoupling * decoupling: decoupling capacitance between Vdd and GND 10
11 Parameters # of layers of inductor Size and position of inner ring (core area) 11
12 Agenda Background and motivation Simulation setup Simulation results Evaluation in inductance/capacitance value Evaluation in transient analysis Conclusion and future work 12
13 Inductive Coupling (Coupling Coeff.) Coupling coeff.: k = M L 1 L 2 * dot: zero offset of inner-ring * Error-bar: effect of offset of inner ring Increasing #layers = inductor get closer to PDN, but In Mesh and Woven, coupling coeff. decreases 13
14 Inductive Coupling (Mutual Inductance) k = M L 1 L 2 In Mesh and Woven, L of PDN is small Small coupling coefficient Dense PDN can make inductive coupling almost zero even #layer increases 14
15 Capacitive Coupling (Coupling Coeff.) Much larger than inductive coupling coefficient (< 0.05) * Coupling between Inductor-GND Note: Coupling of Mesh is largest, but Inductor-Vdd coupling of Mesh is almost zero Sparse structure has larger coupling 15
16 Capacitive Coupling (Coupling Capacitance) Sparse is small or comparable to Woven, but Woven has larger Vdd-GND capacitance -> Coupling coefficient of Sparse becomes larger 16
17 Transient Analysis on SPICE Periodic pulse 50ps pulse width 20ps rise/fall time (20Gbps signaling) Evaluation point Coupled π-model for power/ground/inductor network 17
18 Noise Peak-to-peak Voltage Larger noise when #layer = 4 (next slide) Sparse causes larger noise Difference between Mesh and Woven are small 18
19 Input Impact of Resonance Noise transfer function from aggressor to inner ring 20dB Output Aggressor input is 20Gbps = 10GHz clock Mesh also has resonant frequency near 10 GHz, but transfer function is 20dB smaller 19
20 Noise Waveform Sparse, #layer = 4 Mesh, #layer=4 Resonance make noise larger Mesh and Woven can reduce impact of resonance 20
21 Agenda Background and motivation Simulation setup Simulation results Conclusion and future work 21
22 Summary Coupling of inductor and PDN is investigated Stacking Inductor on circuit Test 3 structures: Sparse, Mesh, Woven PDN should have dense P/G wires Even inductor get closer, Mesh and Woven are better than Sparse Sparse has a risk of large noise due to resonance Dense structure (Mesh and Woven) can suppress the impact of resonance 22
23 Future Work Remaining questions: - Coupling to substrate is not discussed - Mesh/Woven might shield coupling to substrate - Is lumped model adequate? Chip fabrication is completed Now we are preparing real chip measurement Stacked inductor/amp. 23
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