May 31, 2018 Introduction to Surface Acoustic Wave (SAW) Devices Part 7: Basics of RF Circuits Ken-ya Hashimoto Chiba University k.hashimoto@ieee.org http://www.te.chiba-u.jp/~ken
Contents Noise Figure and Non-Linearities RF Amplifiers Low Noise Amplifier Design Example
Contents Noise Figure and Non-Linearities RF Amplifiers Low Noise Amplifier Design Example
Signal to Noise Ratio (SNR) Spectrum Spectrum frequency frequency (a) Signal +Noise (b) After Front End Filtering Spectrum frequency (c) After Front End Amplifying
Noise Figure, NF F S i, N i S S i i 1 o / N / N N o N N A Cascade Connection i [Power Ratio] S o, N o NF 10log F N i : Input Noise Power N o : Output Noise Power N: Thermal Noise A: Power Gain S i, N i A 1 A 2 A 3 S o, N o N 1 N 2 N 3 P output F 1 A N N ( A2 ( A1 ( Si Ni N1) N2) N3) 3 1 N2 N3 F2 1 F3 1 F1 i Ni A1 Ni A1 A2 A1 A1 A2 Most Significant!
3rd order Intercept Point (IP3) Output Power Level (dbm) Generation of Jammer signals by Intermodulation Intercept Point Input Power Level (dbm) Linear Output (f 1 ) 1dB Compression Point (P 1dB ) IMD3 Output (2f 1 -f 2 ) Noise Level IIP3P 1dB +9.6 [db]
3rd order Intercept Point (IP3) P 2f1-f2 [dbm] = 2P f1 [dbm] + P f2 [dbm] 2 IP3 [dbm] P 2f2-f1 [dbm] = 2P f2 [dbm] + P f1 [dbm] 2 IP3 [dbm] Output Power Level (dbm) P 2f1-f2 2f 1 -f 2 P f1 P f2 f 1 f 2 P 2f2-f1 2f 2 -f 1 Frequency [Hz]
Spectrum Regrowth in PA and DPX = Self Mixing of Tx Signals 2f 1 -f 2 f 1 f 2 2f2 -f 1 Frequency Jammer Signal Emission to Adjacent Channels
2nd order Intercept Point (IP2) P f2f1 [dbm] = P f2 [dbm] + P f1 [dbm] IP2 [dbm] Output Power Level (dbm) P f2-f1 f 2 -f 1 P f1 P f2 f 1 f 2 P f2+f1 f 2 +f 1 Frequency [Hz]
Blocking Test Example (W-CDMA Band II) -15 dbm -30 dbm -44 dbm 25M 45M 15M 60M 15M Thermal Noise Level -100 dbm /3.84 MHz -110 dbm /3.84 MHz
Inter Modulation Distortion in Nonlinear Circuit for WCDMA System Signal intensity Jammer Tx filter f b -f a 2f a -f b (2 nd order) (3 rd order) f a Rx filter f b Rx signal + Nonlinear distortion product Jammer f b +f a 2f a +f b (2 nd order) (3 rd order) Band1 190 MHz Tx: 1920-1980 MHz 1730-1790 MHz 4030-4150 MHz Rx: 2110-2170 MHz 5950-6010 MHz Band2 Tx: 1850-1910 MHz Rx: 1930-1990 MHz Jammer Frequency 80 MHz 1770-1830 MHz 3780-3900 MHz 5630-5810 MHz Jammer Frequency
IP2 Suppression by Balanced Topology LNA Mixer Filter Oscillator LNA + - + - Mixer + - + - + - + - Filter + - Oscillator Output Output Input Input Unbalanced Topology Balanced Topology
Contents Noise Figures and Non-Linearities RF Amplifier Low Noise Amplifier Design Example
Capacitor Coupled LF Amplifier e in R B1 C c1 R C V cc C c2 e out DC Cut Bias Setting R B2 R E Output 50 Adequate for Impedance Matching? 50 Power Dissipation Noise Generation 0 V B Vias Voltage Input
RF Amplifier Configuration e in Transmitting specific frequencies V DD L D Matching Matching + Filter + Filter R L e out Transmitting specific frequencies RF Choke (DC Through) V GS RF Choke (DC Through) Measurement of Transistor S Parameters Signal Source Bias-T Bias-T Load Small Signal Measurement for Given Bias Condition (For R 0 =50 ) V GS V DS
Common Source Amplifier V DD L D e out L G, L S Impedance Matching e in L G M 1 L D RF Choke C GS L S Large Voltage Gain Z in il LS g C GS G m 50 1 ic GS i( L G g ils 1 ic 1 LS ) ic GS m GS 0
C Noise Generation B i b r b i b Thermal Noise (Resistance Origin) + Shot Noise (Junction Origin) B E - v + n + i n - E Small Signal Model (Linearize) C S 11 S 12 S 21 S 22 E Input Referred Noise i i i n c u i c : correlated with v n (Y c v n ) i u : not-correlated with v n v 2 n i 2 u 4kTBR n 4kTBG u B: Frequency Bandwidth
Rollet Stability (K) Factor Unconditionally Stable When K>1 K 1 S 11 2 2 S22 S 2 S S 21 12 S 11 22 S 12 S 21 2
Matching Circuit Design Using Smith Chart Stability Circle S12S21 S 1 S 22 S 11 1 0.2 0.5 1.0 Constant G Plot 2 Element (2) Element (1) 5 10 (2) Design Point 0.0 0.2 0.5 1.0 Constant NF Circle -0.2 S 11 S 22 2 5 10-5 -10 (1) -0.5 Finding Target Point -1.0 Designing Input Matching Circuit Designing Output Matching Circuit Verification (Often S 11 and S 22 are NOT acceptable -2 Gain and NF are Dependent on Bias Current (Voltage)
Power Efficiency of Class A Amplifier V cc V L e in V L V cc V cc /2 1 R L 1 R 1 T L T 0 1 T V cc T 0 0 2 V sin(2t / T ) dt 2 o V 2 cc V o sin(2t / T ) dt Maximum 25% (at V o =V cc /2) V V o cc t
Power Efficiency of Class B Amplifier +V cc V L +V cc V L e in 0 1 R 1 R L L 2 T 2 T T 0 T / 2 0 / 2 V V cc o o -V cc t -V cc Output sin(2t / T ) V 2 dt sin(2t / T ) dt Maximum 78.5% (at V o =V cc ) V 4 V o cc 0 Class B Class A Input
V DS V DD t Efficiency Distortion Class A max =50% for RF I D t Class B max =78.5% I D t Class C max =100% (At P=0) I D t Good Bad
Power Amplifier DC Cut Capacitor RF Choke Rejecting RF Leakage V DD L 2 e in L 1 C 1 M 1 C 2 C 1 R eout L Harmonics Suppression V b Z Matching + Z Conversion e in V DD L D M 1 M 2 V DD L D R L Driver + Main Amplifier V b
Linear High Efficiency PA Pre-distortion Feedback Compensation Waveform Generation Power Amp. Detector Memory Effect (Hysteresis) Problem Feed-Forward PA Power Amp. Delay ATT Delay + - Amplifier Error Detection and Compensation + -
Linear Amplifier with Non-linear Components (LINC) E( t) A( t)sin( t ( t)) A 2 max where (t)=cos -1 (A(t)/A max ) c [cos( t ( t) ( t)) cos( t ( t) ( t))] c Constant Amplitude c Non-Linear PA Applicable Waveform Generation PA-1 PA-2 + -
Contents Noise Figures and Non-Linearities RF Amplifiers Low Noise Amplifier Design Example
Use of High Speed Transistor BFP620 Design Low Noise Amplifier at 2.488 GHz. V cc =1.5 V and I c =5 ma. Low NF and Return Suppression Mandatory. How High Gain Achievable?
Step 1 Bias Circuit Design
Step 2 S Parameter Simulation Caution!
S Simulation Result S 21 NF S 11 NF min S 22 NF min : Achievable minimum NF at the given frequency
Impact of Emitter Degeneration Inductor
Simulation Results L=0 nh L=1 nh L=2 nh L=3 nh
Simulation Results L=0 nh L=1 nh L=2 nh L=3 nh
Step 3 Design Matching Circuits
Procedure
After Adding Designed Matching Circuit
Simulated Results S 11 and S 22 Suppression Astable?
Step 4 Stabilization Z Increase Z Increase Q Reduction
Simulation Results Stabilized
Step 5 Transient Analysis
Simulation Results Pin=-10 dbm Pin=-5 dbm
Step 6 Two Tone Analysis
Two Tone Test Result P 2ab [dbm]=2 P a [dbm] + P b [dbm] - 2 OIP3 [dbm] -40.1=2 (-4.39) + (-4.5) - 2 OIP3 OIP3 =13.4 [dbm]