periodic signals (Discrete Time Fourier Transform, DTFT) • 2) link the periodic and a–periodic cases • Of note: • Discrete-time signals ➔ Periodic spectra
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3 jui 2002 · - The spectrum of a periodic signal (with support (-∞,∞)) via the discrete-time Fourier series, which will be called the "Discrete Fourier Transform"
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= c−k i e spectrum ck,k = 1,2, ,N/2 completely describes the signal in the frequency domain Page 6 6/ 31 The Fourier Series for Discrete-Time Aperiodic
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If you see discrete time n (for instance cos(ω1n)) you should know we are talking about We can try to derive spectral function of discrete signal from scratch
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This spectrum plot is a frequency-domain representation that tells us at a glance “ how much of each frequency is present in the signal ” In Chapter 4, we extended
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continuous-time signals, and discrete-time systems are those for which both the input The function X (ejω)2 is called the energy density spectrum, since it
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periodic signals (Discrete Time Fourier Transform, DTFT) • 2) link the periodic and a–periodic cases • Of note: • Discrete-time signals ➔ Periodic spectra
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7 sept 2006 · 2 Discrete Fourier Transform The DFT transforms N samples of a discrete-time signal to the same number of discrete frequency samples,
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(26) I The Fourier coefficients {cn} are periodic with the same period as x[k] ▻ The power spectrum of a discrete-time periodic signal is also, therefore, periodic,
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