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Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers Highly Linear Mixer-First Receivers and N- path Filters Eric Klumperink University of Twente, Enschede, The Netherlands

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Page 1: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Highly Linear Mixer-First Receivers and N-path Filters

Eric Klumperink

University of Twente, Enschede, The Netherlands

Page 2: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Outline

• Introduction• N-path Filter basics• Gm-Assisted & Gain-Boosted N-Path filters• Higher order Passive Filters• Exploit Positive Capacitive-Feedback• Adding Transmission zero’s• Exploit Implicit Capacitive Stacking• Conclusion

2

Page 3: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Flexible RF Filtering wanted!

• Armstrong 1915 .. to • Trend Analog Digital• ADC feasibility & power:

– RF-filtering– Mix down

• Integration in CMOS• Inductors:

– Large area, poor Q– Limited tuning-range

• Challenges:– Selectivity high Q– Linearity passive R, L, C– Digitally Programmable– “SAW-less” CMOS receivers

ADC DSPRF

3

Page 4: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Example of a SAW-less diversity receiver

Wanted:• High Selectivity• High linearity• Tunable fcenter

Concepts that fit:• N‐path filters• Mixer‐first RX

4

Page 5: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

RC>>Ton

Ton = ¼ period

Clocks: fswitch1234

fsine fswitch

Pass/Stop depends on fsine

“Pass”

Basic N-Path Filter Concept (N=4)

5

Page 6: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

RC>>Ton

fsine =1.5 fswitch

Ton = ¼ period

Clocks: fswitch1234

RC>>Ton

fsine fswitch

Pass/Stop depends on fsine

“Pass”

“Stop”

Basic N-Path Filter Concept (N=4)

6

Page 7: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Equivalent R-L-C filter model

0 0.5 1 1.5 2 2.5 3 3.5 4-50

-40

-30

-20

-10

0

Example: differential input4‐path filter @fs=0.5GHz:

[GhaffariJSSC11] [IzukaTCAS16][PavanTCAS17]

If ffs then:

))/2cos(1(2))/2cos(1(

22

2

NNRNNRP

CR

RRNC

p

pp 2

)(

psp Cf

L 2)2(1

Note: extra harmonic responses

N-path filter

7

Page 8: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

High Q  high selectivityQuality factor is high (>>10)!

Q= 2 RC  N  fclock

BWfQ clock

GHz

MHz

Low pass – Bandpass transformation

RC21BW

RCN21BW

clockf

Shift & shrink by N

8

Page 9: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Not a new idea ...

• Down-convert + LPF + Upconvert = BPF

[Barber, Wireless Engineer, May 1947]

Page 10: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Band-Pass Filter (BPF)

Band-Reject Filter (BRF)

“Commutated Networks”

[Smith1953][LePage1953]

10

Page 11: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

ISSCC 1960: Go solid-state!!

[FranksISSCC60]

11

Page 12: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

ISSCC 1960 Notch filter

High Q !

KC = 1000Cycles/sec

now CMOS is10.000 x faster

12

Page 13: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

8-path Notch-Filter

0 200 400 600 800 1000 1200 1400-30

-20

-10

0

Frequency [MHz]

S 21 [d

B]

S S OUT

L

P

P

P

[Ghaffari, ISSCC2012; JSSC2013]

Flexible NotchUp to ~1.2GHz

13

Page 14: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

4-Path band-pass filter

[GhaffariRFIC2010,GhaffariJSSC11]

* Theory: ~1dB; meas. setup dominates

Flexibly programmable & Interference robust

~3dB loss@ 1GHz(65nm)

14

Page 15: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Balanced

090180

0I+

I-

Q+

Q-

I/Q image rejection

-0.9dB conversion gain 0.9dB NF

Need Mixing? Use BB Capacitor-voltages

onTRC [CookJSSC06][SoerISSCC09]

25%

270

270

90

180R C

C

C

C

15

Page 16: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Need Z-match? Add RB (or other loss)

[AndrewsJSSC10] [YangTCAS14]

𝑍 𝑅 𝑅 𝑍

𝑠𝑖𝑛𝑐

𝑁𝑁

[IzukaTCAS16] [PavanTCAS17]

16

Page 17: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

2

Lower-Noise Z-match? Shunt-feedback

[AndrewsJSSC10]

17

Input noise current variance 1/RfbRBaseband = Rfb/(1+Av)

Page 18: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Speed limitation? fT matters

• Cut-off frequency limited by MOS-switch parasitics:

• Charge sharing between CL via Cin,total

• Rough model: switched-capacitor resistor to ground (Loss)• Detailed model and analysis of series-inductance benefit:

18

𝐶𝑠𝑏

𝐶𝑔𝑠

𝑓 , 1

𝑅 , 𝐶 ,

𝑓 𝑁 1

[PavanTCAS18-1]S. Pavan, E.A.M.Klumperink, "Analysis of the Effect of Source Capacitance and Inductance on N-Path Mixers and Filters”, TCAS-I, 2017

[YangTCAS15]𝐶𝑖𝑛, 𝑡𝑜𝑡𝑎𝑙

Page 19: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Performance Limitations

• LO Phase Noise:– essentially an N-path filter is a set of mixers...– so: reciprocal mixing with phase noise is an issue

• Harmonic responses• Folding

19

Page 20: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Outline

• Introduction• N-path Filter basics• Gm-Assisted & Gain-Boosted N-Path filters• Higher order Passive Filters• Exploit Positive Capacitive-Feedback• Adding Transmission zero’s• Exploit Implicit Capacitive Stacking• Conclusion

20

Page 21: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

x N

Ro

Gm Rfvin

vinvout

vout x N

a) Increase R-level > 50e.g. Ro = 500 C/10

b) Notch in feedback BPFMiller effect “Gain Boosted”

Gm-Assisted lower power: Increase Z-level!!

• ..MHz-BW @50ohm big C, Rsw<<50 & high LO-power• Solution: higher Z-level!

Gm

Ro

[BorremansJSSC2011] [Liempd,JSSC2014][SoerISSCC2014]

[Lin/MakJSSC2014]; [LinISSCC2015] [LinTCAS1-2014][ParkISSCC/JSSC2014]

21

Page 22: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Filter Shape and Stop-Band Rejection

Desired: low loss, flat in-band shape, sufficient Roll-off(more than “just a single real pole”)

Q : Component Quality Factor

Courtesy Pingyue Song & Hossein Hashemi [SongISSCC18]

22

Page 23: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

High-order N-path BPFs

• Use N-path filter as parallel LC tank• Synthesize a high-order BPF with gyrator coupling• All-pole singly-terminated 6th-order BPF

Isolate the “resonators”by Gm (Inverters)

[DarvishiJSSC13]

23

Page 24: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Linearity and NF

[DarvishiJSSC13]

24

Page 25: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Linearity Limitation

RF

/

[Darvishi, ISSCC2013]

Active circuitlimiting the linearity!

25

Page 26: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Outline

• Introduction• N-path Filter basics• Gm-Assisted & Gain-Boosted N-Path filters• Higher order Passive Filters• Exploit Positive Capacitive-Feedback• Adding Transmission zero’s• Exploit Passive Gain• Conclusion

26

Page 27: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Extra filter roll-off by Passive IIR-filtering

27

[XuJSSC16]

Page 28: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Passive RX N-Path BPF & Mixer architecture

• Passive early BPF for high linearity• V-I, mix & differential current subtraction

Mixer

Quadraturemixingoff-chip

[LienISSCC2017]

28

Page 29: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

• LC tanks act as ‘’open’’

Current Path for In-band signals

29

Page 30: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

• LC tanks act as ‘’short’’ • Blocker current circulates in R-network

for Out-of-band (OOB) signals

Mixer

30

[LienISSCC2017]

Page 31: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Differential Implementation with shared switch

• Switch is shared and RSW is reduced to half• Improves linearity for both in-band and OOB

RF+

RF─

Mixer switches(large W/L)

Set DC(small W/L)

VirtualGND

Page 32: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

High Linearity “Bottom-Plate Mixing”

Top-plate mixing

Bottom-plate mixing

In-band+6dB

+10dB

• BW of BPF=30MHz• Same W/L for NMOS switches• PSP MOS transistor model• 1GHz fLO• Two-tone test: f1=fLO-∆f f2=fLO-2∆f+500kHz

32

Page 33: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Measured gain and S11S 1

1

─33dB/dec ─32dB/dec

28nm bulk-CMOS

33

Page 34: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Outline

• Introduction• N-path Filter basics• Gm-Assisted & Gain-Boosted N-Path filters• Exploit Positive Capacitive-Feedback• Higher order Passive Filters• Adding Transmission zero’s• Exploit Implicit Capacitive Stacking• Conclusion

34

Page 35: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Synthesize complex poles via feedback

Add positive feedback C2

complex poles !

while also:Low Noise

High Linearity 

negative feedback C1+

Note: output impedance: ro // Co

Aa<1

35

Page 36: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Outline

• Introduction• N-path Filter basics• Gm-Assisted & Gain-Boosted N-Path filters• Exploit Positive Capacitive-Feedback• Higher order Passive Filters• Adding Transmission zero’s• Exploit Implicit Capacitive Stacking• Conclusion

36

Page 37: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Even more roll-off needed? Add TZs

• Increase filter slope adding transmission zeros (TZs):

Courtesy Pingyue Song & Hossein Hashemi [SongISSCC18]

37

Page 38: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Implementation Problem: Charge Sharing

Courtesy Pingyue Song & Hossein Hashemi [SongISSCC18]

38

Page 39: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Transmission zeros in gain boosted N-path filter

• Notch by CSE in FB(s) Overall Band-pass transfer• Add CSH: introduces notches in the transfer

39

[QiJSSC18][LuoMTT16]

Notches Transmission zero (albeit less close to the pass-band)

=0 if:

Page 40: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Outline

• Introduction• N-path Filter basics• Gm-Assisted & Gain-Boosted N-Path filters• Exploit Positive Capacitive-Feedback• Higher order Passive Filters• Adding Transmission zero’s• Exploit Implicit Capacitive Stacking• Conclusion

40

Page 41: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

RFIC 2019 - MO2B-4

A Sub-mW All-Passive RF Front End with Implicit Capacitive Stacking Achieving 13 dB

Gain, 5 dB NF and +25 dBm OOB-IIP3Vijaya Kumar Purushothaman, Eric Klumperink,

Berta Trullas Clavera, and Bram NautaIC Design group

University of Twente, Enschede, The Netherlands

41[PurushothomanRFIC19]

Page 42: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Typical performance N-path front-ends

42

Page 43: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Objective: bring power dissipation down

43

Large power consumptionClock-generation & LO drivers• Large switches High linearity• Low phase noise Reciprocal

mixing

Low-power Mixer-first RX with similar performance

Page 44: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Existing technique

44

[Lien, ISSCC 2017]

Single-ended(Ideal switch)

-

+VIN

Rs

Rs

VA+

VA-

Read-out from the top-plate of C

Φ0

C

Φ90

C

Φ180

C

Φ270

CVIN

Rs

VA

Page 45: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Proposed technique - 1

45

Capacitive stacking 6 dB Conversion gain (V-V)

Read-out from the bottom-plate of C

[Lien, ISSCC 2017]

VINRs

Φ90

CVA1 VA2

Φ0

C

Φ270

CVA3 VA4

Φ180

C

Φ0

C

Φ90

C

Φ180

C

Φ270

CVIN

Rs

VA

Page 46: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Voltage at the top-plate of the Capacitor

46

RC >> Ton

fin ≈ 1.0 x fLO

VINR

Φ90 C

Φ0 C

Φ270 C

Φ180 C

VRF

Φ0 Φ90 Φ180 Φ270 Φ0 Φ90 Φ180 Φ270

For ideal switches same as for top-plate mixing

Page 47: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Voltage at the bottom-plate of the Capacitor

47

RC >> Ton

fin ≈ 1.0 x fLO

VRF

Φ0 Φ90 Φ180 Φ270 Φ0 Φ90 Φ180 Φ270

VINR

Φ90 C

Φ0 C

Φ270 C

Φ180 CVA1

VA1

Φ0 Φ90 Φ180 Φ270 Φ0 Φ90 Φ180 Φ270

Page 48: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Bottom-plate read out

48

Φ0 Φ90 Φ180 Φ270

RC >> Ton

fin ≈ 1.0 x fLO VB180

CB

Φ180 VA1

VINR

Φ90 C

Φ0 C

Φ270 C

Φ180 CVA1

VRF

Φ0 Φ90 Φ180 Φ270 Φ0 Φ90 Φ180 Φ270

VA1

Φ0 Φ90 Φ180 Φ270 Φ0 Φ90 Φ180 Φ270

Read out VA1 on capacitor CB during 180

Page 49: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Bottom-plate read out – Capacitive stacking

49

RC >> Ton

“Implicit Capacitive stacking”(no extra switches, just re-use existing ones)Doubled voltage referred to ground!

fin ≈ 1.0 x fLO

VINR

Φ90 C

Φ0 C

Φ270 C

Φ180 CVA1

+- +

- VB180

CB

Φ180 VA1

VRF

Φ0 Φ90 Φ180 Φ270 Φ0 Φ90 Φ180 Φ270

VA1

Φ0 Φ90 Φ180 Φ270 Φ0 Φ90 Φ180 Φ270

Φ0 Φ90 Φ180 Φ270

Page 50: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Summary

50

Compared to Top-plate mixer with same ‘C’• 6 dB more In-band V-V gain • Lower bandwidth

Additional 6dB conversion gainrelaxes baseband LNA design

Page 51: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Out-of-band linearity–Passive mixer-first RX

51

CVINR LO

Simplified equivalent model

[Yang, TCAS2015]

𝐎𝐎𝐁 𝐈𝐈𝐏𝟑 ∝𝐑

𝐑𝐒𝐖

𝟑

ZCTVINR Rsw

Low Rsw Large Cgs Power

E.g. [Lien, ISSCC2017]

Rsw = 2 ohm OOB-IIP3 = +44 dBmClock power = 30 mW / GHz

Page 52: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Impedance up-conversion

52

CVINR LO

CVINR

1:N

NVINN2R RswZCT

Source impedance, R N2R

• High OOB linearity • Low-power clock drivers • Extra V-V conversion gain

Page 53: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Implementation – Top level

53

Process: GF22nm FDSOITransformer: Off-chipTurn ratio: 1:2

Clock-divider + buffer – Only power consuming blocks

NMOS Switches - 9.6um/20nm

RF capacitors (CR1 – CR8)• 6.4 pF for 50 ohm matching at 1 GHz

BB capacitors (CB1-CB4)• 4 pF Bandwidth = 15 MHzCB2

N2 N8

Φ2 Φ4 BBQ+

CB3

N3 N5

Φ3 Φ1 BBI-

Φ1 Φ2 Φ3 Φ4

2LO+

2LO- ÷2

Φ4

N4

N8

CR4

CR8

Φ3

N3

N7

CR3

CR7

Φ2

N2

N6

CR2

CR6

Φ1 N1

N5

CR1

CR5

VRF

Rs c

RF-

RF+

On-chip

CB1

N1 N7

Φ1 Φ3 BBI+

1:N

CB4

N4 N6

Φ4 Φ2 BBQ-

Page 54: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Conversion gain and S11 vs LO

54

fLO : 0.6 – 1.3 GHzV-V Gain: 10 – 15 dB

Degrades at high fLO :

• Parasitic capacitance at RF terminals

• Limited bandwidth of Transformers

Page 55: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Gain and Noise figure vs IF

55

Features ResultsV-V Gain ~14 dB

IF BW-3dB 16 MHz

DSB NF 5 – 6 dB

Power 0.6 mW

At fLO = 1 GHz

Page 56: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Linearity and blocker tolerance

56

Features ResultsOOB – IIP3 +25 dBm

OOB – IIP2 +66 dBm

B1dB 0 dBm

Δf = 10 x IF-BW3-dB

Page 57: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Comparison (High-performance mixer-first RX)

57

Features AndrewsJSSC10

NejdelRFIC15

LinISSCC15

WesterveldRFIC16

LienRFIC17

This Work

Technology (nm) 65 65 65 65 45 SOI 22 FDSOI

Frequency (GHz) 0.1 – 2.4 2 – 3 0.1 - 1.5 0.03 – 0.3 0.2 - 8 0.6 – 1.3

Power (mW) 37-70 27-75 11 @ 1.5 G 21-36 50 + 30 / 1G 0.6 @ 1G

Gain/BW (dB/MHz) 40-70 / 10 7.5 / 3 38 / 2 21-36 / 2-40 21 / 10 13 - 14 / 16

DSB NF (dB) 3 - 5 2.5 - 4.5 2.9 6 2.3 - 5.4 5 – 6

IIP3 (dBm@∆f/BW ) 25 @ 10 26 @ 10 13 @15 41 @ 20 39 @ 8 25 @ 10

IIP2 (dBm@∆f/BW ) 56 @ 10 65 @ 10 47 @ 15 90 @ 20 88 @ 8 66 @ 10

LO leakage (dBm) -65 -60 N.A. N.A. -65 < -70

Active Area (mm2) 0.75 0.23 0.028* 0.8* 0.8* 0.23

* Total area

Page 58: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Comparison (Low power RF front-end)

58

Features Bryant RFIC12

LinISSCC14

SelvakumarJSSC15

LeeTMTT18

Krishnamurthy ESSCIRC18

This Work

Technology (nm) 65 65 130 28 28 22 FDSOI

Frequency (GHz) 2.45 0.43 – 0.96 2.4 2.4 2.4 0.6 – 1.3

Power (mW) 0.4 1.15 0.6 0.64 0.58 0.6 @ 1G

Gain/BW (dB/MHz) 27.5 / NA 50 / NA 55.5 / 2 50 / 1 19 / 3.6 13 - 14 / 16

DSB NF (dB) 9 8.1 15.1 6.5 11.9 5 - 6

IIP3 (dBm@∆f/BW ) -21 @ NA -20.5 @ NA

-15.8 @ 2.5 0.9 @ 10 3.3 @ 13.9 25 @ 10

Blocker NF (dB / dBm @ MHz)

NA 13.7 / -20 @ 50

NA NA NA 10 / -15 @ 80

Active Area (mm2) 0.08 0.2* 0.25 0.25 NA 0.23

Matching network LC Q=5 None LC LC Q=50 XFMR 1:4 XFMR 1:2

* Total area

Page 59: klumperink-ucd-highly linear mixer-first receivers and n

Eric Klumperink – UCD 12 Aug 2019: High Linearity N-path Filters & Mixers

Conclusions RFIC’19 Paper

• Novel fully-passive bottom-plate mixer with differential readout– Capacitive stacking passive 6 dB voltage gain

• Impedance up-conversion via transformer– Large OOB IIP3 performance with smaller switches– Voltage amplification combined with impedance match

• A sub-mW 1-GHz RF front-end with 14 dB gain, NF < 6 dB, and +25 dBm OOB-IIP3

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Overall Conclusions

• N-path filter and mixers allow for high-Q, high-linearity receivers with a digitally programmable center-frequency

• N-path Filter suppression and shape can be improved by:– Higher order filter via Transconductor/Gyrator coupling– Gain-Boosting– Adding extra switched-capacitor IIR-filtering– Exploit positive capacitive feedback– Adding transmission zeros

• Low-power variants are possible exploiting:– Gain-boosted techniques– Exploit implicit capacitor stacking and passive gain

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IIP3 versus normalized offset-frequency

Note: RF-3dB BW = Equivalent RF-referred (double side-band) -3dB bandwidth

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B1dB vs. normalized offset-frequency

Note: RF-3dB BW = Equivalent RF-referred (double side-band) -3dB bandwidth

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• [AndrewsJSSC10] C. Andrews and A. C. Molnar, "A Passive Mixer-First Receiver With Digitally Controlled and Widely TunableRF Interface," IEEE JSSC, pp. 2696-2708, 2010.

• [Barber1947] N. F. Barber, "Narrow Band-Pass Filter Using Modulation," Wireless Engineer, pp. 132-134, 1947.• [CookJSSC06] B.Cook, A.Berny, A.Molnar, S.Lanzisera, K.Pister, “Low-power 2.4-GHz transceiver with passive RX front-end

and 400-mV supply”, IEEE JSSC, pp. 2757–2766, Dec. 2006.• [DarvishiJSSC13] M.Darvishi, R. van der Zee, B.Nauta, "Design of Active N-Path Filters," IEEE JSSC, pp.2962-2976, Dec.2013.• [FranksISSCC60] L. Franks and I. Sandberg, “An alternative approach to the realizations of network functions: The N-path filters,”

Bell Syst. Tech. J., pp. 1321–1350, Sep. 1960.• [GhaffariJSSC11] A. Ghaffari, E. Klumperink, M. Soer, and B. Nauta, “Tunable high-Q N-path band-pass filters: Modeling and

verification,” IEEE JSSC, pp. 998–1010, May 2011.• [GhaffariJSSC13] A. Ghaffari, E.A.M. Klumperink, B. Nauta, "Tunable N-Path Notch Filters for Blocker Suppression: Modeling

and Verification," IEEE JSSC, vol.48, no.6, pp.1370,1382, June 2013• [HedayatiJSSC15] H. Hedayati, W. F. A. Lau, N. Kim, V. Aparin, and K. Entesari, "A 1.8 dB NF Blocker-Filtering Noise-Canceling

Wideband Receiver With Shared TIA in 40 nm CMOS," IEEE JSSC, vol. 50, pp. 1148-1164, 2015.• [HedayatiVLSI14] [Hedayati, V. Aparin, and K. Entesari, "A +22dBm IIP3 and 3.5dB NF wideband receiver with RF and

baseband blocker filtering techniques," in 2014 Symposium on VLSI Circuits Digest of Technical Papers, 2014, pp. 1-2.• [IzukaTCAS16] T. Iizuka and A. A. Abidi, "FET-R-C Circuits: A Unified Treatment - Part I: Signal Transfer Characteristics of a

Single-Path," IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 63, pp. 1325-1336, 2016; Part II: Extension toMulti-Paths, Noise Figure, and Driving-Point Impedance,”,--, vol. 63, pp. 1337-1348, 2016.

• [LePage1953] W. R. LePage, C. R. Cahn, and J. S. Brown, "Analysis of a comb filter using synchronously commutatedcapacitors," American Institute of Electrical Engineers, Part I: Communication and Electronics, Tr. of the, vol. 72, pp. 63-68, 1953.

• [LuoMTT16] C. k. Luo, P. S. Gudem, and J. F. Buckwalter, "A 0.4 - 6-GHz 17-dBm B1dB 36-dBm IIP3 Channel-Selecting Low-Noise Amplifier for SAW-Less 3G/4G FDD Diversity Receivers," IEEE MTT, vol. 64, no. 4, pp. 1110-1121, 2016.

• [LinTCAS14] Zhicheng Lin; Pui-In Mak; Martins, R.P., "Analysis and Modeling of a Gain-Boosted N-Path Switched-CapacitorBandpass Filter,“, IEEE TCAS-I, vol.61-9, pp.2560,2568, Sept. 2014

• [LinISSCC15] Zhicheng Lin; P.-I. Mak; R.P. Martins, "2.4 A 0.028mm2 11mW single-mixing blocker-tolerant receiver with double-RF N-path filtering, S11 centering, +13dBm OB-IIP3 and 1.5-to-2.9dB NF" ISSCC, 22-26 Feb. 2015.

References

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• [LienISSCC17] Y. Lien, E. Klumperink, B. Tenbroek, J. Strange, and B. Nauta, "A high-linearity CMOS receiver achieving+44dBm IIP3 and +13dBm B1dB for SAW-less LTE radio," ISSCC, pp. 412-413 , 2017.

• [LienJSSC18] Y. C. Lien, E. A. M. Klumperink, B. Tenbroek, J. Strange, and B. Nauta, "Enhanced-Selectivity High-Linearity Low-Noise Mixer-First Receiver With Complex Pole Pair Due to Capacitive Positive Feedback," IEEE Journal of Solid-State Circuits,vol. PP, no. 99, pp. 1-13, 2018.

• [MirzaeiTCAS11] A. Mirzaei, H. Darabi, "Analysis of Imperfections on Performance of 4-Phase Passive-Mixer-Based High-QBandpass Filters in SAW-Less Receivers," IEEE TCAS-I, pp.879,892, May 2011.

• [PavanTCAS17-1] S. Pavan, E.A.M.Klumperink, "Simplified Unified Analysis of Switched-RC Passive Mixers, Samplers, and N -Path Filters Using the Adjoint Network, IEEE TCAS-I, Vol.64, Issue 10, pp. 2714-2725, 2017.

• [PavanTCAS18-1] S. Pavan, E.A.M.Klumperink, "Analysis of the Effect of Source Capacitance and Inductance on N-Path Mixersand Filters, IEEE TCAS-I, vol. 65, no. 5, pp. 1469-1480, May 2018..

• [PavanTCAS18-2] S. Pavan, E.A.M.Klumperink, “Generalized Analysis or Higher Order N-Path Mixer and Filters using the AdjointNetwork”, accepted for IEEE TCAS-I, 2018 (prepublication doi: 10.1109/TCSI.2018.2816342) .

• [PurushothomanRFIC19] Vijaya Kumar Purushothaman, Eric Klumperink, Berta Trullas Clavera, Bram Nauta, "A Sub-mW All-Passive RF Front End with Implicit Capacitive Stacking Achieving 13 dB Gain, 5 dB NF and +25 dBm OOB-IIP3“, RadioFrequency Integrated Circuits Symposium (RFIC), 2019.

• [QiJSSC18] G. Qi, B. van Liempd, P. I. Mak, R. P. Martins and J. Craninckx, "A SAW-Less Tunable RF Front End for FDD andIBFD Combining an Electrical-Balance Duplexer and a Switched-LC N-Path LNA," IEEE JSSC,doi: 10.1109/JSSC.2018.2791477

• [Smith1953] B. D. Smith, "Analysis of Commutated Networks," Aeronautical and Navigational Electronics, Transactions of the IREProfessional Group on IRE Trans., vol. PGAE-10, pp. 21-26, December 1953.

• [SoerISSCC09] M.C.M.Soer, E.A.M.Klumperink, Z.Ru, F.E.van Vliet, B.Nauta,"A 0.2-to-2.0GHz 65nm CMOS Receiver WithoutLNA Achieving >11dBm IIP3 and <6.5dB NF," ISSCC, pp.222-223, Feb. 2009.

• [SoerTCAS10] M.C.M.Soer, E.A.M.Klumperink, P.T. de Boer, F.E.van Vliet, B.Nauta, "Unified Frequency-Domain Analysis ofSwitched-Series-RC Passive Mixers and Samplers," IEEE TCAS-I, pp. 2618-2631, 2010.

• [SongISSCC2018] Pingyue Song, Hossein Hashemi, “A 13th-Order CMOS Reconfigurable RF BPF with Adjustable TransmissionZeros for SAW-Less SDR Receivers”, ISSCC, pp.416-418, Feb. 2018.

• [XuJSSC16] Y. Xu and P. R. Kinget, "A Switched-Capacitor RF Front End With Embedded Programmable High-Order Filtering,"IEEE Journal of Solid-State Circuits, vol. 51, no. 5, pp. 1154-1167, 2016.

• [WesterveldRFIC16] H. Westerveld, E.A.M. Klumperink, B. Nauta, "A cross-coupled switch-RC mixer-first technique achieving+41dBm out-of-band IIP3“, Radio Frequency Integrated Circuits Symposium (RFIC) pp. 246-249, 2016.

• [YangTCAS2015] D. Yang, C. Andrews, and A. Molnar, "Optimized Design of N-Phase Passive Mixer-First Receivers inWideband Operation," IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 62, no. 11, pp. 2759-2770, 2015.

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