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Operating Systems OS X (Apple) Simple symmetrical wave RMS DEMO using awk. Post 303002987 by wisecracker on Wednesday 6th of September 2017 09:04:12 AM
Old 09-06-2017
Hi JM...
(Thanks for the reply.)
Apologies for any typos, and hope it is lucid enough.
Quote:
Originally Posted by jim mcnamara
It looks to me like you have a granularity problem. Four dots as a sample can fit a lot of functions, with intermediate datapoints from increased sampling rates you could then use fft to get good sine waves, for example.

You can code fft.c then call it using the system() function in awk. I think your awk supports that call.

A google for 'fft.c' got me 10 first page hits that looked respectably good. There are sites with an array of algorithmic variants to meet differing needs.

fft is gold standard for fitting data sampling output.
Apologies for the delay, I have not been around for a while. My triangle wave is more or less hypothetical as sampling a real time random triangle wave that......
1) starts at the 0 point,
2) is initially positive going,
3) has 4 samples, or any number of the same 4 samples,
......is close to impossible.
But a file CAN be so easily be created as shown in the single cycle version in the code.
Although I was aware of the errors that creep in when creating the RMS values I was NOT aware of this one off bizarre situation, (and could find nothing on the WWW about it), so after creating the simple code I made a point of there being a reference to this anomaly.

As the RMS value(s) are near the exact value(s) for that of a sinewave hence my point.

In the days of Debian 6 and PCLinuxOS 2009, (my two main OSes in those days), when '/dev/dsp' was available, recreating the waveforms through '/dev/dsp' would result in a triangle wave as the sound system interpolation was Linear, this was also true for some Windows machines of bygone days. I am not sure what interpolations are used in current OSes and sound systems but it sure looks trigonometric to me, so I would guess that a sinewave would be recreated as a result.

I am happy with the idea of the RMS code at this point but looking more towards True RMS but would probably need to rethink my approach.

But to re-iterate for others, be aware of this anomaly.

LBNL, for any FFT work needed, I would do it through Python and SciPy as the heavy lifting is done already, see previous uploads of AudioScope.sh for the AF Spectrum display...

Bazza...

Last edited by wisecracker; 09-06-2017 at 12:18 PM.. Reason: Modify for error...
 

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signalgen(1)							Linux System Manual						      signalgen(1)

NAME
signalgen - a simple signal generator program SYNOPSIS
signalgen [flags] waveform freq waveform is sine, cosine, square, triangle, sawtooth, noise signalgen [flags] pulse freq [Mark/Space] pulse has extra param Mark/Space % - def. is 10 (%) DESCRIPTION
signalgen is a simple signal generator program, that can digitally generate standard waveforms on the LINUX /dev/dsp device. 8 or 16 bit samples can be generated, in mono or stereo. In stereo the two signals can be in phase or in anti-phase (180 degrees). The frequency is specified as an integer number of Hertz. Fractional Hertz frequencies are not supported. Of course, only frequencies less than half the samplerate (number of samples/sec) can be generated. The waveforms that can be generated are: sine A standard sine wave cosine a sine wave with a 90 degree phase shift square a standard square wave with a 50% mark space ratio sawtooth a ramp waveform with 'infinately' fast flyback (:-) An ideal oscilloscope timebase signal. triangle shaped like equally spaced teeth on a saw (:-) noise This is weak. All it consists of is one second of pseudo-randomly generated samples, played repeatedly. I'd love to do proper white/pink noise, but I don't know enough, and I don't think the structure of the program is conducive to accurate noise generation. pulse A square waveform where the mark/space ratio (as a percentage) can be specified. The default value is 10% (mark/space ratio of 1:9). signalgen creates one second's worth of generated output in a buffer and plays the buffer repeatedly, until it is terminated. A lot of thought has gone into the algorithms for generating the waveforms. I believe the sin/cos wave to be very pure (modulo your sound card :-), but I don't have access to a THD meter to measure it. For best signal accuracy NEVER use the gain factor option (-A). The genera- tor will then make the wave's peak value fit the maximum digital values allowed. Use a mixer program to control the output volume, or an external attenuator. The gain factor option can be useful for simulating a signal that has been subject to clipping. Specify a gain of > 100%. In fact a trape- zoid signal can be made by generating a clipped triangular wave. The greater the gain, the closer the signal approaches a square wave (the rise and fall times decrease). Defaults output to /dev/dsp, 22050 samples/sec, mono, 16 bit samples if possible, else 8 bit. OPTIONS
-h display usage and help info -v be verbose -o file write digital sample to file ('-' is stdout) -w file as '-o' but written as a WAVE format file. -a (append) is not valid with this option. -f,-a force overwrite/append of/to file. -C file use "file" as the local configuration file (see below). -s samples generate with samplerate of samples/sec -8/-16 or -b 8|16 force 8 bit or 16 bit mode. -1,-2,-2a mono (def), stereo or stereo in antiphase -A n scale samples by n/100, def. n is 100 (i.e. percentage of full scale output) -t N|Nm generate output for either N secs or Nm millisecs only. -x10 or -x100 Scale frequencies down by a factor of 10 or 100. This allows fractional Hz values to be generated. See EXAMPLES below for its use. It is a Kludge. EXAMPLES
signalgen -v sin 440 generate a sin wave of 440Hz at 22050 samples/sec, 16bit samples on 16 bit card, 8 bit samples on an 8 bit card. signalgen -v -s 44100 -w sin444.wav sin 440 as above but at a samplerate or 44100/sec and save a one second of samples as a WAVE file in sin440.wav signalgen -v -A 500 saw 1000 generate a 1000Hz sawtooth wave severely clipped. The waveform will look like a square wave with a rise and fall time of one tenth of the wave period. (I think that's what the scribbled calculation on the back of this envelope gives :-) signalgen -v -2a sin 1000 generate 2 1000Hz sine waves out of phase by 180 degrees, one on each stereo channel. signalgen -v pulse 1000 95 generate a 1000Hz pulse wave with the 'on' period being 95% of the waveform period, i.e. a mark/space ratio of 19:1. signalgen -v -x10 sin 2616 generate middle C 261.6Hz (2616/10) from the equally tempered scale. Yes it's a royal pain remembering to scale all freqs. by a fac- tor of 10, but I needed it in a hurry and didn't have time to do it better. CONFIGURATION FILES
Three possible configuration files can be used: a LOCAL config file (usually in current directory), a HOME config file in user's $HOME directory and a GLOBAL config file. All the siggen suite of programs are compiled with the names of the config files built in. By default the configuration files are: ./.siggen.conf is the LOCAL config file. $HOME/.siggen.conf is the HOME config file. /etc/siggen.conf is the GLOBAL config file. signalgen -h will indicate which config files will be searched for. The config files do not have to exist. If they exist and are readable by the program they are used, otherwise they are simply ignored. The config files are always searched for configuration values in the order LOCAL, HOME, GLOBAL. This allows a scheme where the sysadmin sets up default config values in the GLOBAL config file, but allows a user to set some or all different values in their own HOME config file, and to set yet more specific values when run from a particular directory. If no configuration files exist, the program provides builtin default values, and most of these values can be set by appropriate command line switches and flags. See siggen.conf(5) for details of the configuration files. signalgen looks for configuration values CHANNELS, DACFILE, SAMPLERATE, SAMPLESIZE, VERBOSE. CHANNELS sets either mono or stereo mode like the '-1|-2' options. DACFILE allows the name of the DAC/DSP/PCM device to be changed from /dev/dsp SAMPLERATE sets the number of samples/sec for the DAC device SAMPLESIZE sets whether 8 or 16 bit samples to be generated VERBOSE sets whether or not to run in verbose mode. SEE ALSO
siggen.conf(5) BUGS
COPYING
Copyright 1995-2008 Jim Jackson The software described by this manual is covered by the GNU General Public License, Version 2, June 1991, issued by : Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA Permission is granted to make and distribute verbatim copies of this manual provided the copyright notice and this permission notice are preserved on all copies. Permission is granted to copy and distribute modified versions of this manual under the conditions for verbatim copying, provided that the entire resulting derived work is distributed under the terms of a permission notice identical to this one. Permission is granted to copy and distribute translations of this manual into another language, under the above conditions for modified versions, except that this permission notice may be included in translation instead of in the original English. AUTHOR
Jim Jackson Email: jj@franjam.org.uk Release 2.3 20 Feb 1998 signalgen(1)
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