Title :
Computing the discrete-time “analytic” signal via FFT
Author :
Marple, S. Lawrence, Jr.
Author_Institution :
Orincon Corp., San Diego, CA, USA
fDate :
9/1/1999 12:00:00 AM
Abstract :
Starting with a real-valued N-point discrete-time signal, frequency-domain algorithms are provided for computing (1) the complex-valued standard N-point discrete-time “analytic” signal of the same sample rate; (2) the complex-valued decimated N/2-point discrete-time “analytic” signal of half the original sample rate; and (3) the complex-valued interpolated NM-point discrete-time “analytic” signal of M times the original sample rate. Special adjustment of the transform end points are shown to be necessary in order to generate proper discrete-time “analytic” signals
Keywords :
fast Fourier transforms; frequency-domain analysis; interpolation; signal sampling; FFT; complex-valued decimated signal; complex-valued interpolated signal; complex-valued standard signal; continuous-time infinite-duration analytic signal; discrete-time analytic signals; discrete-time finite-duration signal; frequency-domain algorithms; real-valued discrete-time signal; sample rate; Algorithm design and analysis; Amplitude estimation; Discrete transforms; Fourier transforms; Frequency domain analysis; Frequency estimation; Signal analysis; Signal processing; Signal processing algorithms; Spectral analysis;
Journal_Title :
Signal Processing, IEEE Transactions on
