## Forums

## Generalized Cross Product

inI have a pair of N-dimensional vectors, N large (hundreds), and I need to generate another N-dimensional vector that is orthogonal to the first...

I have a pair of N-dimensional vectors, N large (hundreds), and I need to generate another N-dimensional vector that is orthogonal to the first two. It doesn't have to be unique; it doesn't even have to be perfectly orthogonal, as long as the normalized dot products are less than, oh, about 0.005. I've searched for "generalized cross product" and similar terms, and all I found was a

## an extravaganza you won't want to to miss!

Phone the neighbors, wake the kids... http://www-cs-faculty.stanford.edu/~knuth/musings.html Rich

Phone the neighbors, wake the kids... http://www-cs-faculty.stanford.edu/~knuth/musings.html Rich

## Fit biquad to 5 frequency response points?

inIs it possible to fit a biquad filter to a curve given only 5 (complex) frequency response values? I'm a relative newcomer. Any help would be...

Is it possible to fit a biquad filter to a curve given only 5 (complex) frequency response values? I'm a relative newcomer. Any help would be greatly appreciated. I have a gentle curve which I am looking to find a closed form solution for the coefficients in terms of the 5 known frequency response values. More detailed problem description is here: https://dl.dropboxusercontent.com/u/96005...

## ADC Sampling with variable frequency and Nyquist?

inI wonder if I can sample a signal using an ADC with variable sampling frequency. Lets say the signal bandwidth is 10 MHz at baseband. In order...

I wonder if I can sample a signal using an ADC with variable sampling frequency. Lets say the signal bandwidth is 10 MHz at baseband. In order to reconstruct the signal, the ADC sampling frequency must be > 20 MHz. What if I use a sampling frequency that varies between 19.9 MHz and 20.1 MHz? What does the Nyquist sampling theorem tells us about this case? Are there applications that actua

## Ultrasonic communication with consumer devices

inHi all, lately, there are more and more news about communication, using ultrasonic sound data transmission, between consumer devices, like...

Hi all, lately, there are more and more news about communication, using ultrasonic sound data transmission, between consumer devices, like smartphones. Here some links: https://www.newscientist.com/article/2110762-your-homes-online-gadgets-could-be-hacked-by-ultras ound/ http://arstechnica.com/tech-policy/2015/11/beware-of-ads-that-use-inaudible-sound-to-link-your-p hone-tv-tablet-and-pc

## error caused by Wien-Hammerstein system (Bussgang?)

Hi, I have the following setup: x ---> [ G(z) ]-----> [ (.)^3 ]-----> [ H(z) ]-----> y where x is a Gaussian input with E(x)=0 and...

Hi, I have the following setup: x ---> [ G(z) ]-----> [ (.)^3 ]-----> [ H(z) ]-----> y where x is a Gaussian input with E(x)=0 and autocorrelation Rxx. For simplicity, I can set Rxx=sigma^2*delta(tau) and G(z)=1, i.e. a pure Hammerstein system driven with white Gaussian noise (I would like to generalize afterwards if possible): x ---> [ (.)^3 ]-----> [ H(z) ]-----> y Now I would lik

## Sample Rate of a Digital Audio Delivery Medium (i.e., CD)

inPerhaps I'm forgetting something, but why would the sample rate of the digital audio delivery medium such as CD have _anything_ to do with...

Perhaps I'm forgetting something, but why would the sample rate of the digital audio delivery medium such as CD have _anything_ to do with the ease of sampling the original signal? It is certainly true that it is better to oversample the original analog input so that the antialiasing filter requirements can be greatly relaxed. However, once we're in the digital domain we can run some very ...

## HRTF approximation with FIR or IIR filters

inHas anyone here worked on HRTF-related projects? I'm interested in very fast, compact algorithms that cover the bases without getting...

Has anyone here worked on HRTF-related projects? I'm interested in very fast, compact algorithms that cover the bases without getting too CPU-heavy. That would rule out impulse libs and such. I suspect that quite a bit of the effect could be accomplished by simple low-order IIR or FIR filters--perhaps mapping 6 to 8 at uniform angles for each ear (every 60 or .45 degrees, resp). I pres...

## DSP Source Repositories

inAre there any good repositories for general DSP code? In general, I'd like to look through implementations of filters and audio processing...

Are there any good repositories for general DSP code? In general, I'd like to look through implementations of filters and audio processing algorithms, but specifically, I'd love to find code relating to waveguides and related networks (DWN's, etc, ala Julius Smith).

## Anatomy of a reverb algorithm

inI know that reverbs are normally built with all-pass and/or comb filters in various combinations. Are there topologies that are...

I know that reverbs are normally built with all-pass and/or comb filters in various combinations. Are there topologies that are more CPU-efficient, or more realistic? I'm interested in small room emulation, but I need to keep up in real-time, and processing power may be limited. Obviously many common algorithms are just refinements of the the old Schroder algorithm, but that's a primitiv...

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