sampling_theorem

sampling_theorem - S Y S C 4 4 0 5 D i g i t a l S i g n a...

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SYSC 4405Digital Signal Processing sampling_theorem.fm MOHAMMED EL-TANANY, PROFESSOR SYSTEMS & COMPUTER ENGINEERING, CARLETON UNIVERSITY, OTTAWA, ONTARIO 1 / 6 The concept of frequency in continuous and discrete times: Continuous-Time Sinusoidal Siganals where A is amplitude, is the phase. and F are frequency is rad/sec and cycles/sec respectively. has the following properties: For every value of , is periodic with period 1/F Continuous sinusoids with different frequencies are distinct Increasing F leads to an increased rate of oscillation. x a t () A Ω t θ + cos A 2 π Ft θ + cos == t << θΩ x a t 0 F < x a t 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 -1.5 -1 -0.5 0 1 1.5 swept frequency sinusoid
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SYSC 4405Digital Signal Processing sampling_theorem.fm MOHAMMED EL-TANANY, PROFESSOR SYSTEMS & COMPUTER ENGINEERING, CARLETON UNIVERSITY, OTTAWA, ONTARIO 2 / 6 Discrete-Time Sinusoidal Signals where A is amplitude, is the phase. and f are frequency is rad/sample and cycles/ sample respectively. has the following properties: x(n) is periodic only if the frequency f is a rational number.
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sampling_theorem - S Y S C 4 4 0 5 D i g i t a l S i g n a...

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