Synthetic test material¶

Sinusoid at fs/4¶

In Yeti terms:

testStream = manipulate.withDuration 64 (syn.sinusoid 8 2);
cq = cqt { maxFreq = testStream.sampleRate/2, minFreq = 1, binsPerOctave = 4 } testStream;

Or to put it another way (in MATLAB this time):

test = [0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1 ];
out = cqt(test,1,4,4,8)

That is, a 64-sample input of 8Hz sample rate containing a sinusoid at fs/4, transformed using CQ parameters fmin = 1, fmax = 4 (or fs/2), and bpo = 4.

Data from MATLAB implementation¶

actual fmin = 1.1892
octaves = 2
weight = 16.3452
drop = 3
kernel size = 32x20
output size = 8x59

and the output (magnitudes only):

  Columns 1 through 8

    0.0001         0    0.0002         0    0.0001         0    0.0002         0
    0.0001         0    0.0001         0    0.0002         0    0.0004         0
    0.0001         0    0.0001         0    0.0003         0    0.0011         0
    0.0002         0    0.0000         0    0.0003         0    0.0013         0
         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0

  Columns 9 through 16

    0.0011         0    0.0044         0    0.0980         0    0.3084         0
    0.0018         0    0.0082         0    0.0468         0    0.3858         0
    0.0050         0    0.0243         0    0.1211         0    0.6447         0
    0.0065         0    0.0309         0    0.1543         0    0.8114         0
         0         0         0         0    0.0002    0.0086    0.2742    1.1185
         0         0         0         0    0.0011    0.0010    0.0711    0.7025
         0         0         0         0    0.0001    0.0002    0.0099    0.5388
         0         0         0         0    0.0001    0.0019    0.0006    0.4688

  Columns 17 through 24

    0.3962         0    0.2374         0    0.0484         0    0.0032         0
    0.6804         0    0.3858         0    0.0468         0    0.0082         0
    1.1968         0    0.6447         0    0.1211         0    0.0243         0
    1.6297         0    0.8114         0    0.1544         0    0.0309         0
    2.1085    2.4893    2.4383    2.4312    2.4314    2.4307    2.4311    2.4311
    1.3506    0.9697    0.7693    0.7692    0.7688    0.7693    0.7691    0.7691
    0.8193    0.0813    0.0491    0.0649    0.0499    0.0643    0.0493    0.0646
    0.7188    0.0108    0.0492    0.0010    0.0493    0.0001    0.0488    0.0000

  Columns 25 through 32

    0.0007         0    0.0003         0    0.0006         0    0.0019         0
    0.0019         0    0.0005         0    0.0004         0    0.0032         0
    0.0051         0    0.0012         0    0.0019         0    0.0086         0
    0.0062         0    0.0008         0    0.0021         0    0.0111         0
    2.4311    2.4311    2.4311    2.4311    2.4311    2.4311    2.4311    2.4311
    0.7691    0.7691    0.7691    0.7691    0.7691    0.7691    0.7691    0.7691
    0.0493    0.0646    0.0493    0.0646    0.0493    0.0646    0.0493    0.0646
    0.0488    0.0000    0.0488    0.0000    0.0488    0.0000    0.0488    0.0000

  Columns 33 through 40

    0.0168         0    0.1633         0    0.3646         0    0.3646         0
    0.0143         0    0.1184         0    0.5325         0    0.6406         0
    0.0414         0    0.2181         0    0.9118         0    1.1190         0
    0.0532         0    0.2679         0    1.1926         0    1.5069         0
    2.4311    2.4309    2.4305    2.4835    2.3188    1.4767    0.4927    0.0454
    0.7692    0.7695    0.7692    0.7707    1.1679    1.2359    0.4175    0.0087
    0.0494    0.0639    0.0494    0.0651    0.3139    0.8970    0.2914    0.0008
    0.0490    0.0000    0.0490    0.0024    0.2044    0.8567    0.1557    0.0024

  Columns 41 through 48

    0.1633         0    0.0168         0    0.0019         0    0.0003         0
    0.2373         0    0.0229         0    0.0052         0    0.0012         0
    0.3956         0    0.0706         0    0.0144         0    0.0029         0
    0.4838         0    0.0905         0    0.0184         0    0.0037         0
    0.0000    0.0002         0         0         0         0         0         0
    0.0012    0.0004         0         0         0         0         0         0
    0.0002    0.0007         0         0         0         0         0         0
    0.0002    0.0000         0         0         0         0         0         0

  Columns 49 through 56

    0.0003         0    0.0000         0    0.0000         0    0.0000         0
    0.0003         0    0.0000         0    0.0000         0    0.0000         0
    0.0006         0    0.0001         0    0.0000         0    0.0000         0
    0.0009         0    0.0002         0    0.0000         0    0.0000         0
         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0
         0         0         0         0         0         0         0         0

  Columns 57 through 59

    0.0000         0    0.0000
    0.0000         0    0.0000
    0.0000         0    0.0000
    0.0000         0    0.0000
         0         0         0
         0         0         0
         0         0         0
         0         0         0