spkit
.frft¶
- spkit.frft(x, alpha=0.1, method=1, verbose=0)¶
Fractional Fourier Transform
Fractional Fourier Transform
- Parameters:
- x: real signal
- alpha: scalar, 0<a<4
- method=1, other methods to be implemented
- Returns:
- Y: complex signal
See also
Notes
#TODO
References
Examples
#sp.frft import numpy as np import matplotlib.pyplot as plt import spkit as sp t = np.linspace(0,2,500) x = np.cos(2*np.pi*5*t) xf = sp.frft(x,alpha=0.5) plt.figure(figsize=(10,4)) plt.subplot(211) plt.plot(t,x,label='x: input signal') plt.xlim([t[0],t[-1]]) plt.xlabel('time (s)') plt.ylabel('x') plt.legend(loc='upper right') plt.subplot(212) plt.plot(t,xf.real,label='xf.real',alpha=0.9) plt.plot(t,xf.imag,label='xf.imag',alpha=0.9) plt.plot(t,np.abs(xf),label='|xf|',alpha=0.9) plt.xlim([t[0],t[-1]]) plt.ylabel(r'xf: FRFT(x) $\alpha=0.5$') plt.legend(loc='upper right') plt.tight_layout() plt.show()
Examples using spkit.frft
¶
Analysis and Synthesis Models
Fractional Fourier Transform: FRFT
Fractional Fourier Transform: FRFT