Transcription of Tutorial 7 - Sampling
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Tutorial 7 - Sampling
Signals & Linear Systems Tutorial Sheet 7 sampling (Lectures 12 - 13). 1.* By applying the parseval 's theorem , show that .. sinc2 (kx)dx = . k 2.* Fig. Q2 (a) and (b) shows Fourier spectra of signals f1 (t ) and f 2 (t ) . Determine the Nyquist Sampling rates for the following signals. (Hint: Use the frequency convolution and the width property of the convolution.). a) f1 (t ) b) f 2 (t ) c) f12 (t ). d) f 23 (t ) e) f1 (t ) f 2 (t ). (a) (b). Figure Q2. 3.* Signals f1 (t ) = 104 rect (104 t ) and f 2 (t ) = (t ) are applied at the inputs of ideal lowpass filters . H1 ( ) = rect ( ) and H 2 ( ) = rect ( ) . The outputs y1 (t ) and y2 (t ) of these filters are multiplied 40, 000 20, 000 . to obtain the signal y (t ) = y1 (t ) y2 (t ) as shown in Figure Q3.
PYKC – 11 Feb 08 2 E2.5 Signals & Linear Systems Tutorial Sheet 7 – Sampling (Lectures 12 - 13) 1.* By applying the Parseval’s theorem, show that
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Signal Transmission, Parseval’s Theorem, Theory of functions, Theorem, Chapter 2 Signal and system norms, Electronics & Communication Engineering, Mathematical Tools for Physics, INTRODUCTION TO THE SPECIAL FUNCTIONS, INTRODUCTION TO THE SPECIAL FUNCTIONS OF MATHEMATICAL PHYSICS, Programme COMPUTER SCIENCE AND, Programme COMPUTER SCIENCE AND ENGINEERING CURRICULUM