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Logarithmic photodiode amplfier analysis thesis

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In this technical note, we discuss some general principles relating to logarithmic amplification. All logarithmic amplifiers must therefore specify a signal range over which they will "log". The classic log amp discussed in most introductory texts exploits the I-V characteristics of a diode junction, and consists of a diode feedback on an inverting operational amplifier. The basic idea of the most common approach can be understood by examining the circuit shown in Fig. A1, below.
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Log amplifier

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Transimpedance Amplifier Noise Considerations | Analog Devices

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Logarithmic Amplifier Chip Design and Application Considerations

A typical logarithmic amplifier chip in a 14SOIC package. Image credit: Texas Instruments. Producing an output voltage that is directly proportional to the logarithm of an input voltage or current, logarithmic amplifier chips are often useful in applications involving signal compression, such as RF and optical systems, and audio or video equipment. The principal objective of a simple log amp is to compress a signal of wide dynamic range to its decibel equivalent.
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It is possible to design circuits with logarithmic response. The uses for this are many-fold. Recalling your logarithm fundamentals, remember that processes such as multiplication and division turn into addition and subtraction for logs. Also, powers and roots turn into multiplication and division. This brings to light a great many possibilities.
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