[music-dsp] Time-variant 2nd-order sinusoidal resonator

2019-02-21 Thread Martin Vicanek
/Ian wrote: Every time you modify the filter coefficients, modify the state of the//filter so that it will produce the output you are expecting. Easy to do. /Ethan wrote: A very simple oscillator recipe is [the coupled form]. However, it's not stable as is, so you periodically have to make an a

Re: [music-dsp] how to derive spectrum of random sample-and-hold noise?

2015-11-17 Thread Martin Vicanek
>/ > well, pink is -3 dB/octave and red (a.k.a. brown) is -6 dB/octave. a / >/ > roll-off of -12// dB/octave would be very brown. -- r b-j / >/ Those values are for amplitudes - for a power spectrum the slopes double. / no sir. not with dB. this is why we use dB = 20 * log10(ampli

Re: [music-dsp] how to derive spectrum of random sample-and-hold noise?

2015-11-16 Thread Martin Vicanek
> well, pink is -3 dB/octave and red (a.k.a. brown) is -6 dB/octave. a roll-off of -12 > dB/octave would be very brown. -- r b-j Those values are for amplitudes - for a power spectrum the slopes double. ___ dupswapdrop: music-dsp mailing list music-ds

Re: [music-dsp] how to derive spectrum of random sample-and-hold noise?

2015-11-16 Thread Martin Vicanek
Am 16.11.2015 20:00, schrieb Martin Vicanek: [..] the autocorrelation is = (1/3)*(1-P)^|k| (I checked that with a little MC code before posting.) So the power spectrum is (1/3)/(1 + (1-P)z^-1), i.e flat at DC and pink at higher frequencies. For reasonably small P the corner frequency is

[music-dsp] how to derive spectrum of random sample-and-hold noise?

2015-11-16 Thread Martin Vicanek
Has this been answered yet? If not, I'll try a back-of-the-envelope derivation. Consider two consecutive samples. By definition, the probability for them to be equal is (1-P), else they will be different and perfectly uncorrelated. Hence the expected correlation between two consecutive sample

[music-dsp] On the theoretical foundations of BLEP, BLAMP etc

2014-07-07 Thread Martin Vicanek
In my previous post please substitute "omega" for "?". Sorry for the mess, my first post. -- dupswapdrop -- the music-dsp mailing list and website: subscription info, FAQ, source code archive, list archive, book reviews, dsp links http://music.columbia.edu/cmc/music-dsp http://music.columbia.edu

[music-dsp] On the theoretical foundations of BLEP, BLAMP etc

2014-07-07 Thread Martin Vicanek
Some thoughts regarding Vadim's original question (I am considering periodic signals in continuous time domain). Discontinuities in the time domain result in infinite bandwidth, but is the reverse also true? 1. Is a waveform band limited, if all its derivatives are continuous? Answer is: no, a