fmhyp

Purpose

Signal with hyperbolic frequency modulation or group delay law.

Synopsis

[x,iflaw] = fmhyp(N,P1)
[x,iflaw] = fmhyp(N,P1,P2)

Description

fmhyp generates a signal with a hyperbolic frequency modulation

$$x(t) = \exp\left(i2\pi\left(f_0 t + \frac{c}{log\vert t\vert}\right)\right).$$

Name	Description	Default value
N	number of points in time
P1	if nargin==2, P1 is a vector containing the two coefficients [f0 c]. If nargin==3, P1 (as P2) is a time-frequency point of the form [ti fi]. ti is in seconds and fi is a normalized frequency (between 0 and 0.5). The coefficients f0 and c are then deduced such that the frequency modulation law fits the points P1 and P2
P2	same as P1 if nargin==3	optional
x	time row vector containing the modulated signal samples
iflaw	instantaneous frequency law

Examples

         [X,iflaw]=fmhyp(100,[1 .5],[32 0.1]); 
         subplot(211); plot(real(X));
         subplot(212); plot(iflaw);

See Also

fmlin, fmsin, fmpar, fmconst, fmodany, fmpower.

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