Conversion gain for mixer (BJT switch)

In summary, the conversation is discussing the conversion gain of a mixer connected to a 50Ω resistor, the A1dB value given an IIP3 of 15 dBm, and the P1dB value. The conversion gain is calculated to be 12.25 (1/pi * g_m * R1), and the A1dB can be found using the formula A1dB = √[0.145|α1/α3|]. The P1dB can be calculated using the formula P1dB = A1dB^2/(2RL). The alphas may be associated with the collector-emitter current gains of the transistors.
  • #1
adamaero
109
1

Homework Statement


a) If this mixer is connected to a matching 50Ω resistor, what is the conversion gain?
b) IIP3 (Third Order Intercept Point) is 15 dBm, what would be A1dB?
c) What is P1dB?

Homework Equations


V90MWI7.png

https://www.ece.ucsb.edu/Faculty/rodwell/Classes/ece218b/notes/Mixer1.pdf#page=9

b) A1dB = √[0.145|α13|]

c) P1dB = A1dB2/(2RL)

The Attempt at a Solution



a) 1/pi = 0.318

b) I don't understand the alphas.
 

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  • #2
adamaero said:
b) I don't understand the alphas.
Perhaps they might be associated with the collector-emitter current gains of the transistors?

You might need to search out a derivation of that formula.
 
  • #3
Searching "-datasheet transistor 1db gain .045" doesn't help.
 
  • #4
Where did you first come across the formula?
 
  • #5
OCyUttH.png
 

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  • #6
Part (a) is
(1/pi)*g_m*R1
(1/pi)*(1/26)*1000 = 12.25 = C.G.

(b) probably in millivolts range

Re-did search with "-datasheet transistor 1db gain" and got some good results... But never mind; I'll move on, sunk cost.
 

1. What is conversion gain for a mixer?

Conversion gain for a mixer is a measure of the ability of the device to convert the input RF signal to the desired intermediate frequency (IF) output signal. It is expressed in decibels (dB) and represents the ratio of the output signal power to the input signal power.

2. How is conversion gain calculated?

Conversion gain is calculated by taking the logarithm of the ratio of the output power to the input power and multiplying it by 10. This is expressed as: Conversion Gain (dB) = 10 * log (Pout/Pin).

3. What factors affect the conversion gain of a mixer?

The conversion gain of a mixer is affected by various factors such as the frequency of the input and output signals, the power level of the input signal, the type of mixer (e.g. single-balanced, double-balanced), and the quality of the components used in the mixer.

4. How does a BJT switch affect the conversion gain of a mixer?

A BJT (Bipolar Junction Transistor) switch is a common type of switch used in mixers. It can affect the conversion gain by introducing additional losses in the signal path, which can reduce the overall conversion gain of the mixer. However, BJT switches are typically designed to minimize these losses and maintain high conversion gain.

5. Why is conversion gain important in mixers?

Conversion gain is an important parameter for mixers because it determines the efficiency and performance of the device. A higher conversion gain means that the mixer is able to convert more of the input signal power to the desired IF output signal, resulting in better sensitivity and overall performance of the system. It also affects other parameters such as noise figure and dynamic range of the mixer.

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