# NF of 60GHz Sub Harmonic Receiver with Integrated on chip Ant and Fflter 2011 X

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```					      RF input       On-chip                              Mixer
60 GHz         Antenna                                        So/No
I
3-stage LNA

0
Tb                                              90
On-chip                                      30 GHz LO
Balun- Filter
Q
Si=-50 dBm
Mixer

At 60 GHz (Bandwidth BW =200 MHz & 2 GHz), background brightness temperature Tb = 290K
    On-chip antenna: power gain = -7.5 dBi, radiation efficiency = 15 %
    Balun filter: insertion loss (IL) = 4 dB
    LNA: GLNA = 22 dB, NFLNA = 5.7 dB
    Mixer: GMixer = 5 dB, NFMixer = 28.5 dB
Determine the total NF and So/No of this RF receiver (with integrated On-chip antenna
and balun-filter)
 Noise analysis of a microwave receiver front-end:
* including antenna       & transmission line contributions

Background
GA , , Tp                           GRF          LM            GIF
TRF          TM            TIF
Si                             LT , TP                                                  No , So
Transmission
line                                       IF
RF
Antenna                                                      Amp.
Tb                                               Amp.

Ni , Si                             LO

If the received power at the antenna terminals is Si  80 dBm, calculate the input & output
signal-to-noise ratios.

Carrier frequency            f = 4 GHz C-band satellite communication
Bandwidth                    B = 1 MHz
Antenna gain                 GA = 26 dB (= 398)
Antenna radiation efficiency     = 0.9 (= - 0.46 dB)
Antenna physical temperature TP = 300 K

Equivalent brightness temperature of the background seen
by the antenna main beam       Tb = 200K

Transmission line loss factor            LT = 1.5 dB (=1.413)

LNA gain                           GRF  20 dB (= 100)
LNA noise figure                   FRF  3 dB (= 2)       TRF  (FRF  1)  290=289K
Mixer gain                         GM  - 6 dB         or     LM  6 dB (= 3.98)
Mixer noise figure                 FM  7 dB (= 5)        TM  (FM  1)  290 =1163K
IF amp gain                    GIF  30 dB (= 1000)
IF amp noise figure                FIF  1.1 dB (= 1.29) TIF  (FIF  1)  290=84K

TA  (Tb / L)  [( L  1) / L]TP

Practical antenna
TA : Antenna noise temperature (at the antenna terminal to the transmission line )

TA  r a d b  1  r a dTP  0.9  2 0 0 1  0.9  3 0 0=210K TA  Tb if rad = 1
T
FA = 2.36 dB

TTL : Equivalent noise temperature of the transmission line
TTL = LT  1T p = 1.41 - 1300 = 123 K ;        FTL  1.535 dB

Trec : Equivalent noise temperature of the receiver
T      T L                            304K ; F  3 . 1 d B
1163 844 . 0
Trec  TRF  M  IF M  289                                  rec
GRF       GRF            100   100

Trec  TL : Noise temperature of (receiver) + (transmission line)
Trec TL  TTL  LT TREC  LT  1T p  LT TREC  123  1.41304   552K
      
 T                     552 
Frec TL  10 log 1  rec TL   10 log 1      4.63 dB
      290              290 
Tsys : Total system noise temperature
Tsys  TA  Trec TL  TA  TTL  LT TREC
                                    
 [Tb  (1  )T p ]  ( LT  1)T p  LT TREC  210  123  1.41304  762K
 T      
Fsys  10 log 1  SYS   5.6 dB
    290 
Gsys : System gain
Gsys  LT GRF LM GIF  1.5  20  6  30 ( d B  42.5 ( d B )  1 7 7 8 3
)

Ni : Noise power delivered to the transmission line from the antenna terminal
Ni  K B T  1 . 3 8 10 23  106  210  2 . 9 10 15 W  115 dBm
A                                       

S i : Received power at the antenna terminal                    Si = -80 dBm

Si Ni : Input signal-to-noise ratio at the antenna terminal
Si Ni  -80 - (- 115) = 35 dB

So : Output signal power at the IF amp output terminal
S0  Si LT GRF LMGIF  SiGSYS = -80 + 42.5 = -37.5 dBm
No : Output noise power at the IF amp output terminal
                                    
N o  kBTSYS GSYS  kB Tb  (1  )T p  ( LT  1)T p  LT TREC GSYS
 1.38  10 23  106  762 17783  1.87  1010 W  67.3 d B m

So No : Output signal-to-noise ratio at the IF amp output terminal
So No = -37.5 - (-67.3) = 29.8 dB

```
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