What Are the Noise Parameters of a Very-Low-Noise Amplifier?

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Homework Help Overview

The discussion revolves around the noise parameters of a very-low-noise amplifier, specifically focusing on calculating equivalent noise input voltage, equivalent noise input current, optimum source resistance, and noise factor based on measured output noise voltages from various resistors connected to the amplifier input.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses confusion about how to apply formulas and utilize the provided data table for calculations. Some participants discuss the modeling of amplifiers with effective noise sources and suggest that the data can be used to derive necessary parameters.

Discussion Status

Participants have engaged in clarifying the concepts related to noise sources in amplifiers. One participant has indicated that they have solved the question, suggesting that some productive guidance has been provided, although the original poster's understanding was initially uncertain.

Contextual Notes

The original poster mentions a specific book for reference but was unable to find the relevant information, indicating a potential gap in resources. The discussion includes a reference to a diagram that may aid in understanding the noise model of the amplifier.

kaancelebi
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We need a very-low-noise amplifier for a special application, and we buy such an amplifier with a noise bandwidth of 2.4 MHz and an amplification of 1000. To test it, we take a set of "perfectly" shielded standard resistors, connect each if these to the amplifier input, and measure the rms output noise voltage in each case. The data are given in the Table below. Calculate the following noise parameters of the amplifier: Equivalent noise input voltage, equivalent noise input current, optimum source resistance Ro, and noise factor F at Ro.
Table of output noise voltages:
R (Ω) ---- Urms (mV)
1 ----- ----- 2.0
10 -------- 2.0
10^2 ----- 2.4
10^3 ----- 4.6
10^4 ----- 15
10^5 ----- 90
10^6 ----- 8.1x10^2
10^7 ------ 8x10^3

i really don't understand what i will do. i know some formula Unoise=(4kBTf)^1/2 ,optimum source resistance , and noise factor but i don't know how i can do circuit , use formula or where can i use these table.
i need help !
 
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Amplifiers are modeled with two effective noise sources, a voltage and a current source. The current source is connected directly across the amplifier terminals. The voltage source in series with the input resistance is also across the terminals, in parallel with the current source. (It's hard to describe, easy to grasp if you see a diagram. Is it in your book?)

When the input R = 0, the current source develops no noise voltage drop so all noise comes from the voltage source. The opposite is true for R=infinity. Your data shows directly the noise voltage, and I think the last two terms give you the current noise. From there you can calculate the optimum source resistance, and the total noise there. That should give you noise factor.
 
diagram mean =
www.resimupload.com/ds271573906_diagram.html[/URL]

i have a book its name is Principles-of-Measurement-Systems and i tried to find it but i didnt find :S

also i understood thanks a lot. it is really good information.
(((((((((When the input R = 0, the current source develops no noise voltage drop so all noise comes from the voltage source. The opposite is true for R=infinity.))))))))

i solved question .thanks again
 
Last edited by a moderator:
Yes, it looks like you got it exactly. Good job!
 

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