## Mixer Image FrequencyThe result is the translation of the fundamental inputs (the local oscillator and the signal of interest), and also the intermodulation products. Intermod products are covered in another page on RF Cafe, but here we are concerned with the special case of frequency components that generate what are termed "image products." An image frequency is one which lies equidistant from the LO frequency, but on the opposite side, as shown in the drawing below (down-conversion shown). In this case, we assume the frequency band desired to be translated down to a lower frequency is the one represented by the orange triangle. It can be seen from the dashed lines from each of the band regions (orange triangle and green rectangle) that unless some means is provided to prevent the process, both bands will be translated down to the same set of down-converted frequencies.
Image Frequency in a Down-conversion Equations label the lines to indicate the origin of each product. Notice that a negative image of the "positive" frequencies is shown to the left of 0 Hz (DC). Negative frequencies are of used in order to make the equations easier to visualize (substitute f _{LO}=-f_{LO}
and F_{Image}=-F_{Image}). It prevents the equations from needing to indicate subtracting a
negative number, which is the equivalent of addition.The fundamental equation for calculating the resulting frequencies from the presence of a local oscillator (f _{LO}), the intended RF signal (f_{RF}),
and the unintended image (F_{Image}), are as follows:f = f See A Graphical Approach to Mixer Spurious Analysis for more information. See RF System Cascade Budget Calculation for more information. Related Pages on RF Cafe- Spectral (Frequency) Inversion - RF System Cascade Budget Calculation - Example of System Cascade - Frequency Modulation - Frequency Modulation Fundamentals - Mixer & Frequency Discriminators EW&RH - Mixer Image Frequency - Frequency Conversion Calculator - A Graphical Approach to Mixer Spurious Analysis - Mixer, Converter, Modulator & Transceiver Design - Frequency Mixer, Converter, Multiplier, Modulator Vendors
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