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Time Frequency Toolbox >> Time Frequency Toolbox > Choice of the Instantaneous Frequency > fmhyp

fmhyp

Signal with hyperbolic frequency modulation.

Calling Sequence

[X,IFLAW]=fmhyp(N,P1,P2)

Parameters

N :

number of points in time

P1 :

if the number of input arguments (NARGIN) is 2, P1 is a vector containing the two coefficients [F0 C] for an hyperbolic instantaneous frequency (sampling frequency is set to 1). 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 is NARGIN=3 (optional)

X :

time row vector containing the modulated signal samples

IFLAW :

instantaneous frequency law

Description

fmhyp generates a signal with hyperbolic frequency modulation : X(t) = exp(i.2.pi(F0.t + C/log|t|))

Examples

[X,IFLAW]=fmhyp(128,[1 .5],[32 0.1]);
subplot(211); plot(real(X));
subplot(212); plot(IFLAW);

See also

Authors

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