Editing Image response (section)

== Image rejection formulas ==
The ''Image Frequency Rejection Ratio'' (IRR) is characterized by its RF filter which can be determined on the basis of its relative response of a [[Tuned Circuit|parallel tuned circuit]].<ref>{{Cite book|url=https://books.google.com/books?id=C1C6IBiCoXsC&q=where+the+image+rejection+ratio+formula+camoe+from&pg=PA315|title=Communication Theory|last=Sekhar|first=T. G. Thomas S. Chandra|date=2005-08-01|publisher=Tata McGraw-Hill Education|isbn=9780070590915|language=en}}</ref>

<math>IRR = \sqrt{1+\rho^2Q^2}</math>

where,

<math>\rho=\frac{f_{IMAGE}}{f_{RF}}-\frac{f_{RF}}{f_{IMAGE}}</math>and '''Q''' is the quality factor.

The Image Rejection Ratio for a given value of gain imbalance <math>\gamma, (\epsilon=\gamma-1)</math> and phase imbalance <math>\phi</math> is determined by,<ref>{{Cite web|url=http://www.dsplog.com/2013/01/31/imrr-transmit-iq-gain-phase-imbalance/|title=Image Rejection Ratio (IMRR) with transmit IQ gain/phase imbalance|website=www.dsplog.com|date=31 January 2013 |language=en-US|access-date=2018-09-14}}</ref>

<math>IMRR = \frac{\gamma^2+1-2\gamma cos(\phi)}{\gamma^2+1+2\gamma cos(\phi)} \approx \frac {\epsilon^2+\phi^2}{4}</math>