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Coupled rooms are hard siince you have two weakly coupled mode spectra to deal with. Also the details of the coupling (size, boundary conditions, geometry) become very important. If there is no direct …

What you have is a very good and efficient oscillator. The potential numerical drift problem can actually be solved. Your state variable v has two parts, one is eseentially the real part and the other …

Typically you can improve performance by analyzing the data that you want and analyzing the data that you don't want. I would assume that a plane can't turn infinitely fast so the actual "want" data i …

Do we just cleverly set the $a_{1,2}$ and $b_{0,1,2}$ coefficents? Yes. The coefficients determine entirely what he filter does: shape (lowpass, highpass, bandpass, peaking EQ, shelve, etc.), steepn …

I was wondering, does this property also holds for the transposed direct form 1? It does not. In fact in terms of numerical performance, transposed direct form 1 is outright terrible. It helps to lo …

There are two things that you can do to speed things up: Do frame based processing, i.e. compute 1000 or so samples at a time before writing them to the wavefile Minimize calls to transcendental fun …

How do I verify that this phase response is indeed the correct answer? Visual inspection works pretty well here. Things that indicate problems are pre-ringing, i.e. unusual activity at the end of t …

Not sure what your application requirements are but there seem to be some issues with your implementation. Your pass band ripple of 5 dB is way too big. Something like 0.1dB would be much more typica …

You may be overthinking this. Step 1: optimize the SNR at the ADC -1.8V to 1.8V (input voltage range of the adc). According to the data sheet the input voltage range 2.7Vpp, that means you need to r …