altes

Parameters

N :

A scalar with a positive integer value: the number of points in time

fmin :

a positive scalar: the lower frequency bound (value of the hyperbolic instantaneous frequency law at the sample N), in normalized frequency (default is 0.05).

fmax :

a positive scalar: the upper frequency bound (value of the hyperbolic instantaneous frequency law at the first sample), in normalized frequency (default is 0.5).

fmax must be greater than fmin.

alpha :

a real scalar >1: the attenuation factor of the envelope (default is 300).

x :

real row vector containing the Altes signal samples. the associated time step is 1/

Description

altes generates the Altes signal in the time domain.

Examples

N = 128; x = altes(N,0.1,0.45); clf subplot(211); plot(1:N,x); xlabel(_("time")) y = fft(x); f = (0:(N/2))/N; Nf=size(f,"*"); subplot(212); plot(f',abs(y(1:Nf))); xlabel(_("frequency")) // plots an Altes signal of 128 points whose normalized frequency goes from 0.45 down to 0.1.

See also

• klauder — Klauder wavelet in time domain
• anasing — Lipschitz singularity
• anapulse — Analytic projection of unit amplitude impulse signal
• anastep — Analytic projection of unit step signal
• doppler — Generate complex Doppler signal

Authors

• H. Nahrstaedt - Aug 2010
• P. Goncalves - September 1995.