1/f noise, example,1,0
1-D cfft, formula for,1,4
1-D complex sinusoidal data,2,8
1-D data,1,16
1-D fft, formula for,1,20
1-D icfft, formula for,1,24
1-D ifft, formula for,1,28
2-D boxcar,1,32
2-D data,1,36
2-D real data,1,40
2-D sinc function,1,44
2-D smoothing filter,1,48
algorithms,1,52
analog signal,2,56
analog signals,1,64
annotations to electronic book, saving,1,68
aperature, square,1,72
aperiodic input, example,1,76
aperture transform,1,80
AR model,1,84
arg function,1,88
ARMA, time-varying processes,1,92
array, quantizing an,1,96
arrays,1,100
atten,1,104
atten lines, axis marker,1,108
autocorrelation,1,112
autocorrelation function, time-dependent,1,116
autocorrelation of signal, time-dependent,1,120
autocorrelation using lcorr,1,124
autocorrelation, 2-D,1,128
autocorrelation, deterministic generalized local, function,1,132
autocorrelation, local,1,136
autocorrelation, partial,4,140
autocorrelation, partial, function,1,156
autocorrelation, time-dependent,1,160
autocorrelations,1,164
autocovariances,1,168
auto-regressive (AR) model,1,172
autoregressive models, Levinson-Durban recursion for,1,176
average, moving, example,1,180
averages, moving and exponential,1,184
averaging, exponential, example,1,188
bandpass Butterworth filter, example,1,192
bandpass filter,1,196
bandpass filter conversion to digital,1,200
bandpass filter, example,1,204
bandpass FIR filter,1,208
bandpass FIR filter, example,1,212
bandpass function,2,216
bandstop Butterworth filter, example,1,224
bandstop filter,2,228
bandstop filter conversion to digital,1,236
bandstop function,1,240
Bartlett window,1,244
Bessel filter, lowpass, example,1,248
bessel filters,1,252
bessel function,1,256
bilinear time-frequency representations,2,260
bilinear transformations,1,268
Blackman,1,272
blackman function,2,276
Blackman taper,1,284
Blackman window,4,288
Boolean OR function,1,304
Born-Jordan and Cone represenations, example of,1,308
Born-Jordan distribution,2,312
boxcar, 2-D,1,320
BTFR,1,324
BTFR, Margenau-Hill,1,328
BTFRs,1,332
BTFRs vs. spectrogram,1,336
burg function,1,340
Burg prediction, example,1,344
burg predictor,1,348
butter function,1,352
Butterworth filter,2,356
Butterworth lowpass IIR filter,2,364
ccepstrum function,1,372
cepstral domain,1,376
cepstrum,1,380
cepstrum function,1,384
cepstrum, complex,1,388
cepstrum, complex, example of,1,392
cepstrum, function, example,1,396
CFFT,2,400
CFFT function,1,408
cfft function,1,412
CFFT function and 2-D arrays of data,1,416
CFFT function and complex data,1,420
CFFT magnitude,2,424
cfft magnitude,1,432
CFFT, computing the,1,436
CFFT, properties of the,1,440
cheby function,2,444
cheby1 function,1,452
cheby2 function,1,456
Chebychev sidelobe ripple,1,460
Chebychev windows,1,464
Chebyshev Type 1 filter, lowpass, example,1,468
Chebyshev Type II filter, lowpass, example,1,472
Chebyshev window,1,476
chirp z-transform,1,480
chirp z-transform, algorithm,1,484
chirpz function,1,488
Choi-Williams distribution,2,492
Choi-Williams distribution, example,1,500
Choi-Williams, time-lag kernel for,1,504
circular convolution,2,508
coefficients, approximation,1,516
coefficients, detail,2,520
Cohen's Bilinear Time-Frequency Representations (BTFR),1,528
coherence function,2,532
complex cepstrum,1,540
complex cepstrum of output signal, plot,1,544
complex signal manipulators,1,548
complex signals,1,552
compression, image,1,556
conjugate symmetric,1,560
continuous signals,1,564
continuous-time signals,1,568
converter chip, analog-to-digital,1,572
convol function,5,576
convol function, FFT-based,1,596
convolution,4,600
convolution and correlation,2,616
convolution, circular,3,624
convolution, filtering by,1,636
convolution, function definition,1,640
convolution, linear,1,644
convolution, two-dimensional,1,648
convolution, using response for,1,652
convolved matrix,1,656
copying from electronic book,1,660
correl function, function, correl,1,664
correl2d function,1,668
correlation,3,672
correlation and convolution,2,684
correlation and partial autocorrelation,1,692
correlation, function definition,1,696
correlation, lagged sample,1,700
correlation, sample,1,704
correlation, sample, at lag k,1,708
correlation, two-dimensional,1,712
cosine taper window,1,716
cosine transforms,1,720
costaper function,2,724
costr function,1,732
covar function,1,736
covariance,1,740
covariance, function definition,1,744
covariance, normalized,1,748
covariance, normalized, function definition,1,752
cross-correlation,1,756
cross-term phenomenon,1,760
cspectrum function,1,764
custom windowing,1,768
damping factor,1,772
data smoothing,1,776
data, 1-D,1,780
data, 1-D complex sinusoidal,1,784
data, 2-D,1,788
data, 2-D real,1,792
data, de-meaned,1,796
Daubechies wavelets,1,800
Daubechies, wavelet,1,804
dc term,1,808
decaying sine wave signal,1,812
decimation factor,1,816
deconvol function,1,820
deconvolution,3,824
deconvolution, example,1,836
deconvolution, signal,1,840
deprecated setwindow function,1,844
detail coefficients,1,848
deterministic generalized local autocorrelation function,2,852
deterministic signals,1,860
detrend function,1,864
detrending, linear,1,868
detrending, smoothing and,1,872
DFT,1,876
DFTs,1,880
dht function,1,884
digital filtering,10,888
digital filters, time response of,1,928
digital signal,1,932
Discrete Fourier transforms (DFTs),1,936
discrete Hartley transform,1,940
discrete wavelet transform,1,944
discrete-time signals,1,948
DTMF signal,1,952
dual-tone  multifrequency signal,1,956
dwavelet function,1,960
dyadic wavelets,1,964
echoes,1,968
eigenvecs function,1,972
electronic book, copying from,1,976
electronic books, Mathcad,1,980
element-wise magnitude and phase,1,984
element-wise magnitute and phase,1,988
entropy spectral analysis,1,992
envelope, input signal,1,996
equations, changing,1,1000
exampleFIR filter, bandpass, example,1,1004
exponential averaging, example,1,1008
exponential ramp in frequency,1,1012
exponential signal,1,1016
exponential smoothing,1,1020
exponential smoothing vs. filtering,1,1024
exponentially decaying sinusoid,1,1028
expsmooth function,1,1032
extremal frequencies,1,1036
Fast Fourier Transform,2,1040
fast Fourier transform,5,1048
Fast Fourier Transforms,1,1068
FFT,3,1072
FFT algorithm,1,1084
FFT and IFFT,1,1088
fft function,1,1092
FFT functions, lowercase,1,1096
FFT of an array,1,1100
FFT, Gaussian,1,1104
FFT, lowpass filtering using the,1,1108
FFT, two-dimensional,1,1112
FFT-based function convol,1,1116
fftfilt and response, comparing,1,1120
fftfilt function,1,1124
FFTs,5,1128
filter coefficients, matrix of,1,1148
filter design, FIR,2,1152
filter design, IIR,2,1160
filter gain,4,1168
filter matrix,1,1184
filter order, lowpass IIR,1,1188
filter response,2,1192
filter types, group delay of,1,1200
filter, 2-D smoothing,1,1204
filter, bandpass,1,1208
filter, bandpass FIR, example,1,1212
filter, bandpass, example,1,1216
filter, bandstop,2,1220
filter, Butterworth,1,1228
filter, FIR,5,1232
filter, FIR lowpass,1,1252
filter, FIR, bandpass, example,1,1256
filter, gain of a lowpass,1,1260
filter, highpass,1,1264
filter, ideal, windowing of impulse response of an,1,1268
filter, IIR,3,1272
filter, linear,1,1284
filter, lowpass,1,1288
filter, lowpass Bessel,1,1292
filter, lowpass Chebyshev Type 1,1,1296
filter, lowpass Chebyshev Type II,1,1300
filter, lowpass, example,1,1304
filter, lowpass, window comparison,1,1308
filter, multirate with optional,1,1312
filter, prediction-error,1,1316
filtered waveform,1,1320
filtering an image,1,1324
filtering by convolution,1,1328
filtering in frequency,1,1332
filtering model, forward-backward,1,1336
filtering vs. exponential smoothing,1,1340
filtering, digital,9,1344
filtering, Kalman,1,1380
filtering, lowpass,1,1384
filtering, lowpass, using the FFt,1,1388
filtering, median,1,1392
filtering, median, example,1,1396
filtering, zero-phase,2,1400
filters, bandpass, bandstop, highpass Butterworth,1,1408
filters, bessel,1,1412
filters, FIR,1,1416
filters, FIR, by Remez exchange,1,1420
filters, higher order lowpass,1,1424
filters, time response of digital,1,1428
filtfilt function,2,1432
filtfilt function, effect of,1,1440
finite support,1,1444
FIR coefficients,1,1448
FIR filter,5,1452
FIR filter design,3,1472
FIR filter phase,1,1484
FIR filter, bandpass, example,1,1488
FIR filter, gain for,1,1492
FIR filters,1,1496
FIR filters by Remez exchange,1,1500
FIR lowpass filter coefficients,1,1504
FIR, digital,1,1508
formula for 1-D cfft,1,1512
formula for 1-D fft,1,1516
formula for 1-D icfft,1,1520
formula for 1-D ifft,1,1524
formulas, changing,1,1528
FORTRAN code,1,1532
Forward Transform CFFT,1,1536
Fourier transform,1,1540
Fourier transform functions,1,1544
Fourier transform, complex,1,1548
Fourier transform, discrete,1,1552
Fourier transform, inverse,2,1556
Fourier transform, short-time,2,1564
Fourier transforms,2,1572
Fourier transforms of real sequences,1,1580
foward-backward filtering model,1,1584
frequencies, extremal,2,1588
frequency signal,1,1596
frequency, exponential ramp in,1,1600
frequency, filtering in,1,1604
function definitions,1,1608
function, 2-D sinc,1,1612
function, arg,1,1616
function, bandpass,2,1620
function, bandstop,1,1628
function, bessel,1,1632
function, blackman,2,1636
function, Boolean OR,1,1644
function, burg,1,1648
function, butter,1,1652
function, ccepstrum,1,1656
function, cepstrum,1,1660
function, cepstrum, example,1,1664
function, cfft,1,1668
function, cheby,2,1672
function, cheby1,1,1680
function, cheby2,1,1684
function, chirpz,1,1688
function, coherence,2,1692
function, convol,4,1700
function, convolution, definition,1,1716
function, correl2d,1,1720
function, correlation, definition,1,1724
function, costaper,2,1728
function, costr,1,1736
function, covar,1,1740
function, covariance, definition,1,1744
function, cspectrum,1,1748
function, deconvol,1,1752
function, deterministic generalized local autocorrelation,2,1756
function, detrend,1,1764
function, dht,1,1768
function, dwavelet,1,1772
function, eigenvecs,1,1776
function, expsmooth,1,1780
function, fft,1,1784
function, fftfilt,1,1788
function, filtfilt,2,1792
function, gain,6,1800
function, gaussian,2,1824
function, gaussn,1,1832
function, group delay,1,1836
function, grpdelay,3,1840
function, hamming,2,1852
function, hanning,2,1860
function, highpass,1,1868
function, hilbert,1,1872
function, icfft,1,1876
function, icostr,1,1880
function, idht,1,1884
function, idwavelet,1,1888
function, ifft,1,1892
function, iirhigh,1,1896
function, iirlow,1,1900
function, iirpass,1,1904
function, iirstop,1,1908
function, interpolate,1,1912
function, isintr,1,1916
function, kaiser,2,1920
function, lcorr,3,1928
function, lowpass,2,1940
function, mag,3,1948
function, makeri,2,1960
function, medflt1d,1,1968
function, medsmooth,1,1972
function, movavg,2,1976
function, multirate,1,1984
function, multirate, example,1,1988
function, music,1,1992
function, Music method for spectral estimation,1,1996
function, nuttall,2,2000
function, onefn,2,2008
function, partial autocorrelation,1,2016
function, phase,3,2020
function, phasecor,4,2032
function, plcorr,3,2048
function, pspectrum,1,2060
function, pspectrum, example,1,2064
function, quantize,1,2068
function, Re,1,2072
function, recenter,5,2076
function, remez,1,2096
function, resample,2,2100
function, response,7,2108
function, rnd,1,2136
function, root,1,2140
function, setwindow, deprecated,1,2144
function, sinc,1,2148
function, sintr,1,2152
function, slope,1,2156
function, snr,2,2160
function, stft,1,2168
function, taprect,3,2172
function, timecorr,5,2184
function, timefreq,3,2204
function, toeplitz,3,2216
function, triangular,2,2228
function, twodconvol,1,2236
function, walsh,1,2240
function, whiten,2,2244
function, yulew,1,2252
function, zero-phase filtering,1,2256
functions, iirpass,1,2260
functions, iirstop,1,2264
functions, index of,1,2268
functions, noise generators,1,2272
functions, signal processing,1,2276
functions, Walsh, 2nd-order,1,2280
functions, Walsh, 5th-order,1,2284
gain function,6,2288
gain of a lowpass filter,1,2312
gain, filter,1,2316
Gaussian FFT,1,2320
gaussian function,2,2324
Gaussian IFFT,1,2332
Gaussian noise,1,2336
Gaussian noise, example,1,2340
Gaussian transform, 2-D,1,2344
Gaussian window,1,2348
gaussn function,1,2352
geophysical signal processing,1,2356
GETWAVINFO WAV file,1,2360
Gibbs phenomenon,1,2364
graph, step,1,2368
group delay,1,2372
group delay function,1,2376
group delay of filter types,1,2380
grpdelay function,3,2384
hamming function,2,2396
Hamming window,8,2404
hanning function,2,2436
Hanning window,8,2444
Hanning window, lowpass,1,2476
Hartley transform,2,2480
Hartley transform, discrete,1,2488
highpass Butterworth filter, example,1,2492
highpass filter,1,2496
highpass function,1,2500
hilbert function,1,2504
Hilbert transform,1,2508
Hilbert transformer,1,2512
hyperbolic signal, example,1,2516
hyperlinks,1,2520
ICFFT,1,2524
icfft function,1,2528
ICFFT, inverse transformation,1,2532
icostr function,1,2536
ideal/truncated lowpass impulse response,1,2540
idht function,1,2544
idwavelet function,1,2548
IFFT and FFT,1,2552
ifft function,1,2556
IFFT, Gaussian,1,2560
IIR filter,2,2564
IIR filter cutoff frequency,2,2572
IIR filter design,2,2580
IIR filter order, lowpass,1,2588
IIR filter, all-pole,1,2592
IIR filter, Butterworth lowpass,2,2596
IIR filter, complex gain of,1,2604
iir functions,1,2608
iirhigh function,1,2612
iirlow function,1,2616
iirpass function,1,2620
iirpass functions,1,2624
iirstop function,1,2628
iirstop functions,1,2632
image boundaries,1,2636
image compression,1,2640
image compression standard, JPEG,1,2644
image matrix,1,2648
image, filtering an,1,2652
impulse response, ideal/truncated lowpass,1,2656
input, aperiodic, example,1,2660
interference,1,2664
interpolate and resample, example,1,2668
interpolate function,1,2672
interpolation and resampling,2,2676
inverse 2-D Walsh transform,1,2684
inverse Fourier transform,2,2688
inverse transform,1,2696
Inverse Transformation ICFFT,1,2700
isintr function,1,2704
iteration, seeded,1,2708
joint time-frequency analysis,4,2712
JPEG image compression standard,1,2728
kaiser function,2,2732
Kaiser window,1,2740
Kaiser windows,1,2744
Kalman filtering,1,2748
kernel,4,2752
kernel matrix, constructing,1,2768
kernel, custom in a time-lag plane,1,2772
kernel, time-lag,1,2776
kernel, time-lag, for Choi-Williams distribution,1,2780
Laplacian operator,1,2784
lcorr,1,2788
lcorr function,3,2792
lcorr, autocorrelation using,1,2804
least squares line,1,2808
Levinson-Durban recursion for autoregressive models,1,2812
linear detrending,1,2816
linear filter,1,2820
linear prediction methods,2,2824
localization trade-off,1,2832
lowercase FFT functions,1,2836
lowpass Bessel filter,1,2840
lowpass Chebyshev Type 1 filter,1,2844
lowpass Chebyshev Type II filter,1,2848
lowpass filter window comparison,1,2852
lowpass filter, example,1,2856
lowpass filter, gain of,1,2860
lowpass filters, higher order,1,2864
lowpass function,2,2868
lowpass IIR filter order,1,2876
mag function,3,2880
magnitude, element-wise,1,2892
magnitudes, vector of,1,2896
magvec,1,2900
makeri function,2,2904
Margenau-Hill distribution,2,2912
Margenau-Hill distribution, example,1,2920
matrix, convolved,1,2924
matrix, filter,1,2928
matrix, image,1,2932
maximum entropy spectrum analysis (MESA),1,2936
medflt1d function,1,2940
median filtering, example,1,2944
medsmooth function,1,2948
MESA,1,2952
movavg function,2,2956
moving average process,1,2964
moving average, example,1,2968
multiple signal classifier,1,2972
multirate function,1,2976
multirate function, example,1,2980
multirate with optional filter,1,2984
music function,1,2988
Music method for spectral estimation function,1,2992
MUSIC method for spectrum estimation,1,2996
noise generator functions,1,3000
noise generators,1,3004
noise subspace,1,3008
noise, 1/f, example,1,3012
noise, Gaussian, example,1,3016
noise, white,1,3020
noise, white, example,1,3024
noise, white, pspectrum and cspectrum with,1,3028
normalized covariance, function definition,1,3032
nuttall function,2,3036
Nuttall window,1,3044
Nyquist sampling theorem,1,3048
onefn function,2,3052
operation, smoothing,1,3060
partial autocorrelation,1,3064
patch plots,1,3068
periodogram method, Welch's averaged,1,3072
phase angles, vector of,1,3076
phase function,3,3080
phase, element-wise,1,3092
phasecor function,4,3096
phasevec,1,3112
plcorr function,3,3116
plot of complex cepstrum of output signal,1,3128
plot, grayscaled patch,1,3132
plot, patch,1,3136
plots, grayscaled patch,1,3140
plots, stem trace type,1,3144
power spectrum,1,3148
prediction-error filter,1,3152
prime divisor algorithm,1,3156
prototype matching,1,3160
pseudo-random signal generators,1,3164
pspectrum and cspectrum with white noise,1,3168
pspectrum function,1,3172
pspectrum function, example,1,3176
pulse code modulated Microsoft WAV files,1,3180
quantization levels,1,3184
quantize function,1,3188
quantizing a signal,2,3192
quantizing an array,1,3200
random signals,1,3204
rate, sample,1,3208
Re function,1,3212
READWAV WAV file,1,3216
real signals,1,3220
recenter function,5,3224
recentered results,1,3244
Remez exchange, FIR filters by,1,3248
remez function,1,3252
resample and interpolate, example,1,3256
resample function,2,3260
resampling and interpolation,1,3268
response and fftfilt, comparing,1,3272
response for convolution, using,1,3276
response function,7,3280
rnd,1,3308
rnd function,1,3312
root function,1,3316
sampling frequency,1,3320
sampling period,1,3324
scale factor, computing the,1,3328
Search button,1,3332
seed value,1,3336
setwindow function, deprecated,1,3340
shift correlation, zero-based,1,3344
short-time Fourier transform (STFT),1,3348
signal classifier, multiple,1,3352
signal correlation matrix,1,3356
signal deconvolution,1,3360
signal generators, pseudo-random,1,3364
signal manipulators, complex,1,3368
signal processing bibliography,1,3372
signal processing extension pack,1,3376
signal processing functions,1,3380
signal processing, geophysical,1,3384
signal processing, speech,1,3388
signal subspace,1,3392
signal synthesis,1,3396
signal windowing,2,3400
signal, analog,1,3408
signal, definition of,1,3412
signal, digital,1,3416
signal, digital, processing of,1,3420
signal, DTMF,1,3424
signal, dual-tone multifrequency (DTMF),1,3428
signal, echolocation chirp,1,3432
signal, exponential,1,3436
signal, frequency,1,3440
signal, hyperbolic, example,1,3444
signal, multichannel,1,3448
signal, noisy,1,3452
signal, quantized,1,3456
signal, quantizing a,2,3460
signal, reconstructing a, example,1,3468
signal, sampling a,1,3472
signal, sampling rate of a,1,3476
signal, single square pulse,1,3480
signal, sinusoidal,2,3484
signal, spectrum of the,1,3492
signal, time-dependent autocorrelation,1,3496
signal, two-pitch,1,3500
signal, unit impulse,1,3504
signal, unit step,1,3508
signals,1,3512
signals and systems,5,3516
signals, analog,1,3536
signals, classification of,1,3540
signals, complex,1,3544
signals, continuous,1,3548
signals, continuous-time,1,3552
signals, deterministic,1,3556
signals, discrete-time,1,3560
signals, Hilbert-transformed analytic,1,3564
signals, random,1,3568
signals, real,1,3572
sinc function,1,3576
sine and cosine transforms,1,3580
sine wave signal, decaying,1,3584
sintr function,1,3588
sinusoid, exponentially decaying,1,3592
sinusoidal data, 1-D complex,2,3596
sinusoidal signal,1,3604
slope function,1,3608
smoothing operation,1,3612
smoothing, exponential,1,3616
snr function,2,3620
sound object, WAV,1,3628
spectral analysis,6,3632
spectral estimation,3,3656
spectrogram,3,3668
spectrogram vs. BTFRs,1,3680
spectrum analysis,1,3684
spectrum analysis, maximum entropy (MESA),1,3688
spectrum estimation, MUSIC method for,1,3692
spectrum, cross,1,3696
spectrum, power,1,3700
speech signal processing,1,3704
step graph,1,3708
STFT,1,3712
stft function,1,3716
stock trading,1,3720
systems and signals,4,3724
tapered rectangular window,1,3740
taprect function,3,3744
time response of digital filters,1,3756
time series analysis,4,3760
time series, economic,1,3776
time series, smoothing a,1,3780
timecorr function,5,3784
time-dependent autocorrelation function,1,3804
time-domain iterative exponential smoothing algorithm,1,3808
time-domain result,1,3812
timefreq function,3,3816
time-frequency analysis,1,3828
time-frequency analysis, joint,4,3832
time-frequency representations,4,3848
time-frequency representations, bilinear (BTFRs),1,3864
time-lag kernel,1,3868
toeplitz function,3,3872
Toeplitz matrix,1,3884
tones, high and low,1,3888
trade-off, localization,1,3892
transform definition, and wavelets, example,1,3896
transform magnitude,1,3900
transform, discrete cosine,1,3904
transform, discrete Hartley,1,3908
transform, discrete wavelet,1,3912
transform, Hartley,2,3916
transform, Hilbert,1,3924
transform, inverse cosine,1,3928
transform, short-time Fourier,1,3932
transform, Walsh,1,3936
transform, wavelet identity,1,3940
transforms, additional,3,3944
transforms, sine and cosine,1,3956
triangular function,2,3960
triangular window,1,3968
twodconvol function,1,3972
two-dimensional correlation,1,3976
two-pitch signal,1,3980
unit impulse signal,1,3984
unit step signal,1,3988
units,2,3992
Units, International System of,1,4000
upsampling, pure, example,1,4004
vector of magnitudes,1,4008
vector of phase angles,1,4012
vectorize operator,1,4016
vectors, input,1,4020
walsh function,1,4024
Walsh functions, 2nd-order,1,4028
Walsh functions, 5th-order,1,4032
Walsh transform,2,4036
Walsh transform, inverse 2-D,1,4044
WAV files, pulse code modulated,1,4048
WAV files, reading,1,4052
WAV sound object,1,4056
waveform,1,4060
waveform, filtered,1,4064
wavelet identity transform,1,4068
wavelets and transform definition, example,1,4072
wavelets, Daubechies,2,4076
wavelets, dyadic,1,4084
Welch's averaged periodogram method,1,4088
white noise, example,1,4092
white noise, pspectrum and cspectrum with,1,4096
whiten function,2,4100
Wigner distribution,2,4108
Wigner distribution, example,1,4116
window, Blackman,2,4120
window, Hamming,1,4128
window, Hanning,2,4132
windowing, custom,1,4140
windowing, signal,1,4144
WRITEWAV WAV file,1,4148
yulew function,1,4152
Yule-Walker algorithm,1,4156
Yule-Walker prediction, example,1,4160
zero-phase filtering,2,4164
zero-phase filtering function,1,4172
z-transform, chirp,1,4176
