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EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 Fall 2010 Nov. 2 nd , 2010 University of California, Berkeley 2 EE142-Fall 2010 Cascode LNA

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Page 1: Lecture 19: Introduction to Mixersbwrcs.eecs.berkeley.edu/.../Lectures/Lect19_2up.pdf · EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 –

EE142 Lecture19

1

Amin Arbabian

Jan M. Rabaey

Lecture 19:

Introduction to Mixers

EE142 – Fall 2010

Nov. 2nd, 2010

University of California, Berkeley

2 EE142-Fall 2010

Cascode LNA

Page 2: Lecture 19: Introduction to Mixersbwrcs.eecs.berkeley.edu/.../Lectures/Lect19_2up.pdf · EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 –

EE142 Lecture19

2

3 EE142-Fall 2010

Noise from Cascode Device

4 EE142-Fall 2010

Cascode Noise

Page 3: Lecture 19: Introduction to Mixersbwrcs.eecs.berkeley.edu/.../Lectures/Lect19_2up.pdf · EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 –

EE142 Lecture19

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5 EE142-Fall 2010

Differential LNA Design

6

APPENDIX 1

CORRELATED NOISE

ANALYSIS

Page 4: Lecture 19: Introduction to Mixersbwrcs.eecs.berkeley.edu/.../Lectures/Lect19_2up.pdf · EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 –

EE142 Lecture19

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7 EE142-Fall 2010

Correlated Noise Sources (Equiv. Noise Gen.)

8 EE142-Fall 2010

Noise Figure of Two-Port

Page 5: Lecture 19: Introduction to Mixersbwrcs.eecs.berkeley.edu/.../Lectures/Lect19_2up.pdf · EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 –

EE142 Lecture19

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9 EE142-Fall 2010

Optimum Source Impedance

10 EE142-Fall 2010

Minimum Noise Figure

Page 6: Lecture 19: Introduction to Mixersbwrcs.eecs.berkeley.edu/.../Lectures/Lect19_2up.pdf · EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 –

EE142 Lecture19

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11

INTRODUCTION TO MIXERS

12 EE142-Fall 2010

Introduction to Mixers

Page 7: Lecture 19: Introduction to Mixersbwrcs.eecs.berkeley.edu/.../Lectures/Lect19_2up.pdf · EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 –

EE142 Lecture19

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13 EE142-Fall 2010

Mixer Operation

14 EE142-Fall 2010

Ideal Mixing

Page 8: Lecture 19: Introduction to Mixersbwrcs.eecs.berkeley.edu/.../Lectures/Lect19_2up.pdf · EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 –

EE142 Lecture19

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15 EE142-Fall 2010

Ideal Mixing (2)

16 EE142-Fall 2010

Mixer + Filter

Page 9: Lecture 19: Introduction to Mixersbwrcs.eecs.berkeley.edu/.../Lectures/Lect19_2up.pdf · EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 –

EE142 Lecture19

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17 EE142-Fall 2010

Example

18 EE142-Fall 2010

Receiver Application

Page 10: Lecture 19: Introduction to Mixersbwrcs.eecs.berkeley.edu/.../Lectures/Lect19_2up.pdf · EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 –

EE142 Lecture19

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19 EE142-Fall 2010

Image Rejection

20 EE142-Fall 2010

Image Reject Filter

Page 11: Lecture 19: Introduction to Mixersbwrcs.eecs.berkeley.edu/.../Lectures/Lect19_2up.pdf · EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 –

EE142 Lecture19

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21 EE142-Fall 2010

RF Filtering

22 EE142-Fall 2010

Direct Conversion Receiver

Page 12: Lecture 19: Introduction to Mixersbwrcs.eecs.berkeley.edu/.../Lectures/Lect19_2up.pdf · EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 –

EE142 Lecture19

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23 EE142-Fall 2010

Direct Conversion (Zero-IF)

24 EE142-Fall 2010

Example

Page 13: Lecture 19: Introduction to Mixersbwrcs.eecs.berkeley.edu/.../Lectures/Lect19_2up.pdf · EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 –

EE142 Lecture19

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25 EE142-Fall 2010

LO Phase in Direct Conversion

26 EE142-Fall 2010

IQ Mixer

Page 14: Lecture 19: Introduction to Mixersbwrcs.eecs.berkeley.edu/.../Lectures/Lect19_2up.pdf · EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 –

EE142 Lecture19

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27 EE142-Fall 2010

Modulation in Amplitude

28 EE142-Fall 2010

I-Q Plane

Page 15: Lecture 19: Introduction to Mixersbwrcs.eecs.berkeley.edu/.../Lectures/Lect19_2up.pdf · EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 –

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29 EE142-Fall 2010

General Modulator

30 EE142-Fall 2010

Digital Modulation (BPSK, QPSK)

For instance, if we transmit 𝐼 𝑡 = ±1 this represents one

bit transmission per cycle. But since the I and Q are

orthogonal signals, we can improve the efficiency of

transmission by also transmitting symbols on the Q axis.

Page 16: Lecture 19: Introduction to Mixersbwrcs.eecs.berkeley.edu/.../Lectures/Lect19_2up.pdf · EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 –

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31 EE142-Fall 2010

Increasing Bits per Cycle

32 EE142-Fall 2010

Hartley Mixer

Page 17: Lecture 19: Introduction to Mixersbwrcs.eecs.berkeley.edu/.../Lectures/Lect19_2up.pdf · EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 –

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33 EE142-Fall 2010

Delay Operation

34 EE142-Fall 2010

Multiplying by a Complex Signal

Page 18: Lecture 19: Introduction to Mixersbwrcs.eecs.berkeley.edu/.../Lectures/Lect19_2up.pdf · EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 –

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35 EE142-Fall 2010

Multiplying by a Real Signal

36 EE142-Fall 2010

Image Problem (Different View)

Page 19: Lecture 19: Introduction to Mixersbwrcs.eecs.berkeley.edu/.../Lectures/Lect19_2up.pdf · EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 –

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37 EE142-Fall 2010

Sine / Cosine Mixing

38 EE142-Fall 2010

Image Rejection

Page 20: Lecture 19: Introduction to Mixersbwrcs.eecs.berkeley.edu/.../Lectures/Lect19_2up.pdf · EE142 Lecture19 1 Amin Arbabian Jan M. Rabaey Lecture 19: Introduction to Mixers EE142 –

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39 EE142-Fall 2010

+/- 45 Degree Circuits

40 EE142-Fall 2010

Other Issues