Radio Electronics, Part 2 Codexery

Image response

Measure of a superheterodyne receiver's ability to reject the image frequency.

Image response

Image response, more precisely called the image response rejection ratio (IMRR), measures how well a superheterodyne radio receiver performs. In this type of receiver, a local oscillator (LO) mixes with the incoming radio frequency (RF) to produce sum and difference frequencies. One of these frequencies matches the intermediate frequency (IF) and is selected and amplified. The receiver responds to any signal at its target IF, including unwanted ones. The image rejection ratio (IMRR) expresses the receiver's ability to suppress the image signal. For example, with an LO tuned to 110 MHz, two different incoming frequencies can produce a 10 MHz IF: a wanted signal at 100 MHz, which when mixed with the 110 MHz LO gives a 210 MHz sum (ignored) and a 10 MHz difference (selected), and an unwanted signal at 120 MHz, which yields a 230 MHz sum (ignored) and also a 10 MHz difference. This 120 MHz signal is the image of the 100 MHz wanted signal. The image rejection ratio is the ratio, usually in decibels (dB), of the IF signal level from the desired frequency to that from the image frequency, measured with equal input signal levels for both. In a well-designed receiver, ratios above 60 dB are possible. Importantly, IMRR does not measure IF stage or IF filter performance (selectivity), since the image signal produces a valid IF frequency. Instead, it measures the bandpass characteristics of the stages before the IF amplifier, which include RF bandpass filters and often one or two RF amplifier stages. The image frequency rejection ratio (IRR) can be characterized by the RF filter's relative response in a parallel tuned circuit, depending on its quality factor Q. Additionally, the IRR for a given gain imbalance and phase imbalance can be calculated using a specific formula.

Imrr typical value
>60 dB in a good design
Measurement unit
dB
Key formula components
Q (quality factor), gain imbalance, phase imbalance

Lore & Background

The image response problem arises because, with a local oscillator tuned to a given frequency, two incoming signal frequencies can generate the same intermediate frequency. For example, with a LO tuned to 110 MHz, a wanted signal at 100 MHz and an unwanted signal at 120 MHz both produce a 10 MHz IF when mixed. The signal at 120 MHz is called the image of the wanted signal at 100 MHz. Without an adequate RF filter, both signals pass through the IF filter and interfere.

The image rejection ratio is the ratio of the IF signal level produced by the desired input frequency to that produced by the image frequency, measured with equal input signal levels. It is expressed in dB. IMRR is not a measurement of IF stage performance or IF filtering selectivity; rather, it measures the bandpass characteristics of the stages preceding the IF amplifier, which consist of RF bandpass filters and usually an RF amplifier stage or two.

The image frequency rejection ratio (IRR) is characterized by the RF filter, which can be determined on the basis of the relative response of a parallel tuned circuit, where Q is the quality factor. The image rejection ratio for a given value of gain imbalance and phase imbalance is determined by a specific formula.

Reader's Guide

Image response rejection ratio is a critical performance metric for superheterodyne receivers, as it quantifies the receiver's ability to suppress interference from signals at the image frequency. The image frequency is separated from the desired frequency by twice the intermediate frequency, and without proper rejection, it can produce a spurious response indistinguishable from the wanted signal. The IMRR is determined by the RF front-end filtering and amplification stages, not by the IF stages. In a well-designed receiver, ratios exceeding 60 dB are achievable, indicating strong rejection. The measurement requires equal input signal levels for the desired and image frequencies to be meaningful. The rejection is characterized by the quality factor (Q) of the RF filter's tuned circuits, as well as any gain and phase imbalances in the system. This metric remains fundamental in radio design, as it directly affects the receiver's selectivity and immunity to out-of-band interference.

Did You Know?

Frequently Asked Questions

What is Image response in radio electronics?

Image response, formally the image response rejection ratio (IMRR), is a performance metric for superheterodyne receivers that quantifies how effectively the circuit suppresses the unwanted image frequency. It is expressed in decibels and reflects the receiver's selectivity around the intermediate frequency.

How does a superheterodyne receiver create an image frequency?

When the local oscillator mixes with an incoming RF signal, it generates both a sum and a difference frequency, and two distinct RF inputs can land on the same IF. The image frequency is the undesired one that still produces the correct IF, so the receiver amplifies it alongside the wanted signal.

What is a typical Image response rejection ratio in a well-designed receiver?

A good superheterodyne design achieves an IMRR of roughly 60 dB, meaning the image signal is attenuated by a factor of one million relative to the desired signal. Values well below that threshold point to poor front-end filtering or mixer performance.

Which circuit parameters most influence Image response?

The key contributors in the IMRR formula are the quality factor (Q) of the IF filter, gain imbalance between the in-phase and quadrature paths, and phase imbalance in the mixing network. Even small deviations in gain or phase can erode the rejection ratio noticeably.

Why does Image response matter to a radio operator or designer?

Without adequate image rejection, a strong off-channel transmitter can overload the IF amplifier and mask the desired signal entirely. IMRR is therefore a critical specification when comparing receiver architectures or troubleshooting poor selectivity in the field.

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