Updates to Cadence/Subversion (CDSVN) scripts

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Tunable Non-Foster Match Using Switched Capacitor

Foster’s reactance theorem states that any reactance Cannot render equation. Use Firefox instead. increases as a function of frequency Cannot render equation. Use Firefox instead.. This is true of the impedance looking into an antenna, where the reactance may be a large part of the overall impedance. The task in matching the antenna (for maximum power transfer and therefore maximum SNR) is to cancel the reactance (or susceptance) and match the resistance.

Unfortunately, this can’t be done over a large range, because as Foster’s reactance theorem states, as soon as you deviate a little from your center frequency, both the inductive reactance of your antenna and the reactance of whatever you’re using to cancel it (most likely a capacitive element) both increase (go toward Cannot render equation. Use Firefox instead.). So, for every change Cannot render equation. Use Firefox instead. in frequency from the center frequency, your antenna reactance goes up by some amount Cannot render equation. Use Firefox instead., but your matching element’s reactance also goes up by some amount Cannot render equation. Use Firefox instead..

If you had a Non-Foster element, the reactance of your tuning element would go down by some amount Cannot render equation. Use Firefox instead., compensating for the increased reactance of the antenna. You would then have  a broadband (or broader) match.

Most attempts to do this have required the use of active elements (such as gyrators) so synthesis a negative impedance. However, I’m wondering if  a switched-capacitor circuit can be used to synthesize this Non-Foster reactance. Most analyses of switched-capacitor circuits show that they are synthetic resistors at frequencies far below the switching frequency. However, what does the impedance look like near the switching frequency? Read More

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Median vs Mean

I’ve been doing some statistical measurements lately (more to follow). It occurs to me that while most people measure the mean of a set of measurements, the median is more useful.

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CircuitDesign.Info: Site maintenance

Some of you may have noticed that the site was down for a day last week.

Expect a bit more down-time: I’m going to do a bit of experimentation to ensure that future down-time doesn’t happen again (improve reliability).

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Special thanks to Justin Patrin

Special thanks to Justin Patrin for his awesome ASCIIMathML plugin. From now on, equations will look nicer, like:

Cannot render equation. Use Firefox instead.

You rock, Justin! I (and my readers) thank you.

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Differential Circuits Follow-Up

Introduction

You’ll notice that this post has Matt Miller listed as the author. Poojan requested Matt’s comments on his differential circuit post. Poojan was impressed with my comments enough that he decided to make it a follow-up post. So, this post is co-written by both Poojan and Matt.

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The benefits of differential circuits

Introduction

From my personal blog:

I’ve been lucky enough to find myself in a team that’s intent on finding the best circuit design for a given application. This doesn’t happen often to many people, but I feel that I’ve had more than my share of this opportunity.

The conclusion is usually that we come up with some topology (let’s call it circuit X) that optimizes all the performance criteria. I walk away wanting to generalize the experience with the lesson that circuit X is the best circuit ever, and I want to use it everywhere.

Inevitably, I find that some other topology Y is better suited for some other application. There were some specific constraints or conditions on circuit X that don’t apply to circuit Y, and as a result, circuit Y is more optimal for application Y.

It is for this reason that I won’t say that differential circuits are always better than their single ended counter-part. I will say that in my experience, I’ve come across the case where the differential circuit–or, really, the differential approach–is more effective than its single-ended counterpart. However, that’s not why I’ve decided to write this post.

Unfortunately, I’ve come across several engineers that make the generalization error in the opposite direction: they state that single-ended circuits save current. I will present a counter-example that is sufficient to disprove this generalization. Keep in mind that it doesn’t prove the opposite generalization (that differential circuits are always better).

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