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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.

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...
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

Reply posted 2 years ago (03/05/2023)
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

New thread started 2 years ago
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,...
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...
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

Reply posted 3 years ago (05/04/2022)
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

Reply posted 3 years ago (05/04/2022)
Not to worry; a friend suggested LiFT, an objectively better acronym for this ;)

Re: Applications for a new FFT algorithm

Reply posted 3 years ago (04/28/2022)
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

Reply posted 3 years ago (04/28/2022)
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

Reply posted 3 years ago (04/28/2022)
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

Reply posted 3 years ago (04/28/2022)
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

Reply posted 3 years ago (04/28/2022)
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

Reply posted 3 years ago (04/27/2022)
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

New thread started 3 years ago
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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