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Correlation Receiver (Read 5325 times)
fz2101
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Correlation Receiver
Jul 18th, 2007, 2:06pm
 
Hello everyone,

I would like to know where "correlation receiver" fits in communication systems.  

Is it in the category of receiver architecture:  Heterodyne,  Homodyne, Correlation Receiver??   No, this seems very odd, it does not fit.

When I think of receiver, I think of LNA -> mixer -> filter -> ADC.   On the other hand, books describe "correlation receiver"
as: Multiplying the received signal with templates (one fore each "signal space") -> integrate -> take the output at time T.

I guess I can think of multiplying as mixing and integrating as lowpass, but that's kind of stretching it, right?

Since "signal space" is a jargon associated with DSP, is it a matter of RF versus Baseband?  In other words, correlation receiver only happens
after the ADC, in the digital domain, i.e., "multiplication" and "integration" are really "latching" and "accumulation"?  I can't really
imagine making a correlation receiver in analog,  wouldn't you need many multipliers and integrators, i.e., one for each possible template, that's a lot of hardware.  

Finally, is it a matter of theory versus practice?  Is it possible that correlation receiver, being the optimum receiver in terms of maximizing the
SNR is really a topic included in textbooks for completeness but is never used in real life?  I hope not.

Thanks.
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didac
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Re: Correlation Receiver
Reply #1 - Jul 19th, 2007, 7:24am
 
Hi fz2101,

I don't think it's a matter of theory versus practice, I've been working with a full analog correlation receiver. As a simple example for UWB-IR receivers is one of the proposed topologies due to it's simplicity. If you think about the definition of signal space you will see you don't need one branch for "template", just a branch for each space base(of course to make the decision you will need several thresholds of comparation for a QAM for example). I think the decision of making a matched filter(correlation receiver) must be made after a system analysis(i.e. after the correlation receiver you will need a slow ADC it's just a DC level out of each branch, in a heterodyne receiver you will need a ADC at least twice as fast as your highest frequency) to determine whether or not your power budget for the receiver can accomodate a fast ADC or how many power will go to the comparators. Another question is that for example in OFDM systems the number of branches will be so big(one branch for carrier) that it will be unfeasible,then DSP is I think compulsory.
Hope it helps,
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fz2101
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Re: Correlation Receiver
Reply #2 - Jul 19th, 2007, 8:45am
 
Thank you Didac,

I'm so happy to hear someone else is working on an IR-UWB receiver in analog/RF.    :)

The reason I asked my question is that when I looked at some published papers containing IR-UWB "correlation receivers," they look exactly like direct-conversion receivers with > 500Msps ADC attached at the rear.

Like you said, since we only need two basis functions for most modulations (except for OFDM/FSK, say), the two basis functions (templates) for the correlation receiver are just the plain old "cosine" and " sine", a.k.a quadrature LOs.   I have not seen many true "carrier-less" UWB (e.g., Gaussian and its derivatives), I assume because there is not enough control over the spectrum of these pulses to fit them snugly under the FCC mask.  Therefore, if you indeed have a carrier for the IR-UWB pulse, then no wonder correlation receiver looks more and more like the traditional narrowband receivers.

Is the difference then in whether you use an integrator or a LPF following the mixer/multiplier?  Like you said, if we use a windowed integrator, then the output is just a DC level, and the requirement on the ADC is relaxed.  If we use a LPF/anti-aliasing, followed by an ADC, then the ADC still
needs to be pretty fast, and the detection is done in the digital domain.  

Did I miss something?  Can there be some lowpass filtering before the integrator in the correlation receiver?

Thanks again,

frank
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didac
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Re: Correlation Receiver
Reply #3 - Jul 19th, 2007, 12:50pm
 
Hi frank,
Well I think that many papers published under the term "correlation receiver" are made by people of signal processing(I go to a phd thesis defense one or two months ago and they assume they receiver is an antenna, a LNA and directly an ADC-I made a simple calculation and I estimate something like 80 Gigasamples/second, no comments...-) that are more interested in algorithms for synchronization,demodulation,channel estimation and so on, I know some of this guys at my university and when you ask them "how much power will consume this receiver?" they didn't know what you are talking about. This method will be useful for something like a home-theater were you are connected to electrical network, but for a wireless portable device your battery will die very fast.

About your comments about the integrator or the LPF I think they are correct(I didn't make the system election, I worked in UWB as my master thesis that was part of a Phd thesis of the department).

About the use of gaussian pulses(or derivatives) I think that the question refers to the transmitter,you must use a good filter to do the pulse shaping(I didn't see a generator that directly generates a pulse FCC,Europe or Japan mask compliant), in UWB I think that instead of talking of a power amplifier we must start talking about a "power attenuator".

For the possibility of using a LPF before the mixer(thus reducing the BW,then reducing the ADC BW or the integrator BW) I think it's possible but must be validated by a system simulation seeing how BER degrades. As in IR-UWB there's the possibility of trade-off data rate using processing gain in the form of pulse repetition(sent each bit in more than one pulse) probably it will not be very killer(but you will loose data rate), but I've never done myself the system level simulation filtering the received pulse before the mixer so I cannot tell you for sure the effect.
I'm sorry that I cannot enter into details about the system architecture with I worked(and from time to time I still work) due to the fact that there is a NDA in the middle. I will suggest you to look a book(maybe you know it):
"UWB theory and Applications",Ian Oppermann,Matti Hämäläinen and Jari Iinatti,John wiley & Sons,Ltd. Probably if you've been working a little bit with UWB it's not necessary, but includes a raw(not FCC compliant) transceiver for IR-UWB made with correlation receiver.

Also my research group has published a couple of papers on UWB:
"A Low-Power Template Generator for Coherent Impulse-Radio Ultra Wide-Band Receivers"
"Low Noise Amplifiers for Low-Power Impulse-Radio Ultra Wide-Band Receivers"
Both of them by Enrique Barajas Ojeda and available on the proceedings of "The 2006 IEEE International
Conference on Ultra-Wideband".
Three more articles are accepted for publishing but they are not available this day.
Hope it helps,
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mg777
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Re: Correlation Receiver
Reply #4 - Jul 24th, 2007, 10:49am
 

Since signals are generally resolvable along their principal axes (Karhunen-Loeve expansion), optimal receivers tend to be based on correlations.

You're basically right in suspecting that the 'correlation receiver' is a textbook beast - for example, the matched filter receiver works only for isolated pulses (e.g; radar) and not for pulse trains exhibiting ISI. But the idea of correlation forms the basis of most practical estimators, and due to K-L these are best implemented in the discrete (digital) domain. If you consider coding from the larger perspective (e.g; a GPS signal) then the role of correlation is of course more obvious.

The 80 GSa/s proposals require our sympathies, no doubt. Still, in the business of communication, I'd caution you against taking on the extraordinary synergy between signal processing and digital VLSI.

M.G.Rajan

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fz2101
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Re: Correlation Receiver
Reply #5 - Jul 24th, 2007, 11:36am
 
I think my confusion comes from the word "receiver" (of the phrase "correlation receiver").

Coming from an analog background, when I hear the word "receiver," I immediately try to fit it under either
heterodyne or homodyne (mixing, downconversion, filtering, all that good business).  However, a correlator is really a detector/estimator,
and if I want to fit it under my meaning of the word "receiver", then it belongs only in the DSP portion of a MODERN DAY receiver, i.e., after
the ADC, in the digital domain.  

For example, B. Razavi's "RF Microelectronics" book discusses correlation receiver" in Chapter 3: "Modulation and Detection",
while heterodyne/homodyne are discussed much later in Chapter 5: "Transceiver architectures".  

I guess because people originally thought that UWB (impulse-radio type) was going to be carrier-less, a.k.a., baseband transmission (
but at very high speed), so they used the word "correlation receiver,"  it kind of conveys the idea that it is very simple (no front-end).  

Thank you all for a great discussion!

frank
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didac
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Re: Correlation Receiver
Reply #6 - Jul 24th, 2007, 11:37pm
 
Hi,
As frank points a correlation receiver is difficult to fit into a "classical" topology, I consider it as a receiver topology but I don't think it's important to try to fit it in a category(I don't want to start a Holy War now in this forum for a topology classification, I'm from Spain and the last Holy War here lasts 800 years, and that was enough Holy War until the end of the Earth I think).
Only I want to point that Impulse Radio can be very useful in two specific cases:
1)As mr.Rajan points in his posts in radar applications, the very small pulses in UWB-IR fits pretty well for small-range high precision radars
2)Although OFDM is superior in terms of fighting "hostile" channels(fading,delay spread...) UWB-IR can be useful for very short distance datalinks at a low power consumption.
PS:Mr.Rajan thanks for your advice about the synergy between signal processing and VLSI but don't worry I'm in the Telecommunications Faculty of Barcelona so I made several courses on signal processing(both compulsory and elective) and I know pretty well that signal processing is a very powerful tool in communications(in fact I still enjoy reading from time to time a couple of papers on MIMO,beamforming and synchronization), my comment about the ADC was more referred on the fact that when you read a paper on signal processing usually you must ask yourself if this great algorithm can fit in your application due to the fact that usually the authors work with Matlab or similar and don't worry about power consumption.
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solanojedi
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Re: Correlation Receiver
Reply #7 - Feb 9th, 2015, 3:25pm
 
Hi everyone,

I came across this very old but interesting discussion about receivers and I have some doubts too. Like fz2101, I have a solid analog background and a very poor DSP background and also for me a receiver is the traditional structure antenna, LNA, mixer, LPF and ADC: beyond the ADC it's still quite a mistery to me.

I'm trying to read Digital Communication by Lee-Messerschmitt, but I have difficulties finding some practical example in real life: the architectures seem to me quite "high level" and I can't see the practical implementation of these concepts. For example, I still don't know in what application a matched filter is used or if it is implemented in the analog or in the digital domain: from your discussion it seems that, for most applications, it is implemented in the digital domain (in fact, in analog design I never saw an analog matched filter during my work in mobile communications). Smiley

I'd like to ask you if somebody can explain (to an analog designer) the basic operations/techniques (even conceptually) that are implemented, for example, in a 2G or GSM receiver, both in analog and digital domain: I haven't yet found the answer in classical digital communications book. Fundamental doubts are: there is somehow a matched filter for 2G? How it is implemented and what's its purpose in 2G? I suppose it is not to maximize the SNR of a single pulse... Moreover, we also have a Viterbi decoder? Why it is necessary?

All these doubts and concepts are still quite vague to me right now (and also I have trouble to formulate precise questions about them), but I hope somebody can give me a global vision.

Thank you in advance in any case!
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