Carl Bauer (@heycosmo)

I'm a computational physicist by trade and training, with a specialty in finite-difference techniques for simulating Maxwell's equations, and much of my spare time is spent working on audio analysis algorithms.

Re: How can I estimate the 2 parameters of this signal?

I don't think it will be that important if the difference in variance is as consistently dramatic as shown in your example. If you want to detect differences in...

Re: How can I estimate the 2 parameters of this signal?

This is basically edge detection. For every sample index n, look at(variance from n-L to n) / (variance from n to n+L)Assuming your samples are independent and normally...

Re: Single-bit long-range low-power communication

Thank you for this detailed breakdown. That Microchip 5071A stability...whoa.Doesn't the PSD of the transmitted signal keep increasing the longer the transmitter...

Single-bit long-range low-power communication

Suppose I want to send a single bit (like an SOS) from some remote location using a low-power RF transmitter. The transmitter emits a pure tone at some frequency,...

Re: Determining the frequency (between 1-100MHz) & amplitude of a sinusoid

OP seemed to prioritize undersampling. My solution does not sample at the correct rate, it undersamples (by a possibly large factor). You can undersample if you...

Re: Determining the frequency (between 1-100MHz) & amplitude of a sinusoid

You can try the Sparse Fourier Transform.https://en.wikipedia.org/wiki/Sparse_Fourier_trans...https://groups.csail.mit.edu/netmit/sFFT/For a single sinusoid as in...

Re: Applications for a new FFT algorithm

I am keeping my implementation private while I look for commercialization opportunities, but I hope to open-source it later whether I'm successful or not. I will...

Re: Applications for a new FFT algorithm

Not to worry; a friend suggested LiFT, an objectively better acronym for this ;)

Re: Applications for a new FFT algorithm

Interesting, thanks for sharing. I am curious, is there some reason I don't see larger FFTs used in RF communication?For example, it seems like encoding data in...

Re: Applications for a new FFT algorithm

I've been looking into predictive maintenance, where accelerometers listen for e.g. bearing wear on various spinning machinery. It seems like a good application:...

Re: Applications for a new FFT algorithm

Thanks! sin and cos are often implemented on a computer with polynomial approximations (to machine precision). The LFT is closely related to this approach.

Re: Applications for a new FFT algorithm

This is in fact how the LFT came to be. I was using it to generate STFTs of many different power-of-2 window lengths (from property 6.) to find the best sparse approximations...

Re: Applications for a new FFT algorithm

Preamble and NBIoT are interesting. Does "flooded with registers" mean your FPGA wasn't big enough to hold all the accumulators/mixers?I ran a test on 48 bins from...

Re: Applications for a new FFT algorithm

50% is still a large fraction of the output. The LFT becomes helpful when you want to keep < 10% of the output (smaller the better). I think in your case computing...

Applications for a new FFT algorithm

I have invented a new FFT algorithm I'm calling the Lifted Fourier Transform (LFT) ("lifted" because the guts of the method operate in a higher dimension than is...

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