Reception of a low level RF signal often benefits from low noise and high precision operation. Noise and imprecision in such circuits has many different origins.
One common undesired signal is called an image frequency. The image signal is symmetrical to the desired frequency, relative to the local oscillator frequency.
The undesired component of the image frequency may cause image frequency interference, and this may produce undesirable content in the eventual received signal. Image frequency interference may reduce the amount of information that the channel can carry.
Different techniques have been used to reduce the effect of the image frequency interference.
The present system teaches a new technique for reducing the effect of image frequency interference. One aspect defines a digital filter for a receiver. The filter can be digital or analog. The filter operates to form a first signal that mostly indicates the desired signal, and a second signal that mostly indicates the image signal, and uses the second signal to compensate the first signal.
A specific aspect describes a mixer, that has an in-phase mixer branch, forming an in-phase version of a complex signal, and a quadrature mixer branch maintaining a quadrature version of the same said complex signal, one of said branches including a phase rotator which rotates a first portion of said signal to relative to a second portion of said signal, wherein one of said first and second portions represents a desired portion of the signal and the other of said first and second portions represents an image portion of the signal; and first and second adders, where the first adder obtains a difference between said in-phase and quadrature signals to obtain a first signal which is primarily based on said first portion, and the second adder obtains a sum between said in-phase and quadrature signals to obtain a second signal which is primarily based on the second portion. A compensation part which uses one of said first and second signals to compensate the other of said first and second signals.
These and other aspects will now be described in detail with reference to the accompanying drawings, wherein:
A number of different receiver topologies may be used to reduce the effect of the image signal.
An exemplary frequency domain version of the signals is shown in
In certain receivers, it may be desirable to carry out more of the processing in digital, to provide the advantages of digital electronics including improved noise rejection. A block diagram of a direct conversion receiver is shown in
Circuit related low frequency noise and offsets exist in the direct conversion signal, e.g., based on noise and nonlinearities and/or by RF leakage added by the circuit components. Because the signal remains at relatively low frequency, it may be very difficult to distinguish the low frequency noise from the desired signal itself
The IF frequency fI needs to be sufficiently low that an A/D converter can be used to digitize the IF signal. As an example, for a 2.4 GHz channel, a typical IF signal would be in range of hundreds of megahertz. A low IF signal, in contrast, would be around 40 MHz, hence reduced by approximately a decade. While this circuit allows certain processing to be done in the digital domain, the image frequency fimage will be close to the local oscillator frequency and to the desired frequency. The value fI in
An image rejection mixer may be used to reduce the image signal using a complex signal representation to distinguish the image signal component from the desired signal component. An image rejection mixer is shown in
T(T(Fdesired)+T−1(F*image))
where T represents a 90° clockwise rotation,
=−FdesiredF*image
Where F*image represents the conjugate of the signal, and the second branch has a signal
Fdesired+F*image
The two branches are digitally summed at 514 to produce an “IF signal” that includes summed desired frequencies from both branches and cancelled image frequencies from both branches.
IF=2Fdesired+O*Fimage (1)
Ideally, this system will reject the entire image signal (Fimage). However, imperfections in the mixers, the rotator and the channels, will cause distortion. Magnitude and phase mismatches between the I and Q mixers will cause the I and Q channels to have slightly different signal handling characteristics, leading to distortion and crosstalk. Therefore, while equation (1) represents the output for a perfect channel, the actual IF output signal can be expressed as
IF:{circumflex over (F)}desired=Wdistort*Fdesired+Wcross*Fimage
Where F^represents the actual value of Fdesired. Defining this in terms of inverse of channel distortion (a number close to 1) gives
IF:Wdistort−1*{circumflex over (F)}desired=Fdesired+Wdistort−1*Wcross*Fimage
Compensating for mismatch between the mixers can improve the performance. However, it is often not practical to remove all mismatch between the I and Q channels. Rejection of 20-30 db is typical.
The output from the first summer 514 (I-Q) is the signal, as above
IFdesired=W1distortFdesired+W1cross*F*image (3)
where W1cross→0, and W1distort→1. Hence, IFdesired represents mostly the desired signal.
The additional IF image signal from adder 601 is called IFimage, and corresponds to the signal
{circumflex over (F)}image=IFimage=W2distortF*image+W2cross*Fdesired (4)
where W2distort→1 and W2cross→0. This signal is mostly dominated by the image component. W1distort; W1cross, W2distort and W2cross can be estimated, or adaptively or otherwise determined. The value of IFimage from equation (4) is then used, along with values of at least W1, in equation (3) to solve for a compensated version of IF desired, as:
This compensated signal removes more of the undesired components.
A channel characteristic storage device 710 may be used to determine characteristics of the channel. The uncompensated values Fdesired and Fimage are input to the filter, and the transformation is used to {circumflex over (F)}desired estimate and {circumflex over (F)}image using equations (3) and (4), and channel characteristics.
The characteristics of the channel can be found using any of a number of different techniques. A first open loop technique can be used in which the characteristics of the channel are found e.g. by calibration, and stored into the channel characteristic storage device 710.
A different open loop technique can store a table with a number of different W1 and W2 values, and select the best set of W1, W2 values on power up.
Alternatively, an adaptive compensation scheme can be used as shown with reference to
The signals are taken as corresponding with the signals as follows:
where “*” denotes conjugate
e(k) is the estimated error which is
e(k)={tilde over (F)}desired−(decision on {tilde over (F)}desired)
and feeds the error signal into that equation to find the channel characteristics.
In the equation above, H(k+1) is the adaptive compensation values for a current time, H(k) is the adaptive compensation values for a previous time, e(k) is the error signal in that previous time, μ is a scaling factor used to prevent overcompensation during any specific time interval, and is the actual received values for that previous time. The adaptive compensation scheme therefore adaptively determines the channel values and allows them to settle towards the proper values at each specific time.
No matter how determined, characteristics of the channel which are stored in the store 710.
The techniques described above have described one form of compensation, but it should be understood that the same techniques can be used to carry out other compensation, using even more compensation. For example, a recursive solution of equations 3 and 4 can be carried out.
The filter described above can be embodied in a number of different ways. For example, it may be preferred to embody this filter as part of an integrated circuit on a single piece of silicon, where one or many circuits may be formed on a single silicon substrate, and other digital components used for the communication may also be formed on the substrate. In addition, however, this may be embodied as discrete components, e.g. defined using hardware definition language, or by a suitably programmed digital signal processor, or in software executed by a general purpose processor. The processor may filter the signal according to the filter transfer function shown in
In addition, other modifications are possible. For example, while the above describes one way of using this system as part of an image rejection mixer, it should be understood that this system can analogously be used for other kinds of noise rejection. Moreover, while this describes the compensation being done in the digital domain, it should be understood that this could also be done in the analog domain.
All such modifications are intended to be encompassed within the following claims.
This application is a continuation application of U.S. patent application Ser. No. 10/891,672, filed Jul. 15, 2004. The entire disclosure of U.S. patent application Ser. No. 10/891,672 is incorporated herein by reference.
Number | Name | Date | Kind |
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3681697 | Moroney | Aug 1972 | A |
4955079 | Connerney et al. | Sep 1990 | A |
20020090924 | Suominen | Jul 2002 | A1 |
20050159129 | Iida | Jul 2005 | A1 |
Number | Date | Country | |
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Parent | 10891672 | Jul 2004 | US |
Child | 12273051 | US |