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1. For the following function X1(t), its Fourier transform is X1(jo) sin () (t) 1-1 1 |0; otherwise Tt (1) Determine O which is the bandwidth of X1 (jo). In other words, for arbitrary o> oM, X1(jo)-0 (2) Consider ideal sampling of the function x1(t) using an impulse train. Determine minimal sampling angular frequency o that satisfies sampling theorem and the corresponding sampling interval T (3) For the following function x2(t), calculate its Fourier transform X2(jo) x (t)(t)sin (2r) (4) Sketch X2(jo) and determine oM Which is the bandwidth of X2(jo). In other words, for arbitrary o> OM2. X2(jo) 0 (5) For the function x2(t), determine minimal sampling angular frequency o2 that satisfies sampling theorem and the corresponding sampling interval T2

1. For the following function X1(t), its Fourier transform is X1(jo) sin () (t) 1-1 1 |0; otherwise Tt (1) Determine O which is the bandwidth of X1 (jo). In other words, for arbitrary o> oM, X1(jo)-0 (2) Consider ideal sampling of the function x1(t) using an impulse train. Determine minimal sampling angular frequency o that satisfies sampling theorem and the corresponding sampling interval T (3) For the following function x2(t), calculate its Fourier transform X2(jo) x (t)(t)sin (2r) (4) Sketch X2(jo) and determine oM Which is the bandwidth of X2(jo). In other words, for arbitrary o> OM2. X2(jo) 0 (5) For the function x2(t), determine minimal sampling angular frequency o2 that satisfies sampling theorem and the corresponding sampling interval T2

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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1. For the following function X1(t), its Fourier transform is X1(jo) sin () (t) 1-1 1 |0; otherwise Tt (1) Determine O which is the bandwidth of X1 (jo). In other words, for arbitrary o> oM, X1(jo)-0 (2) Consider ideal sampling of the function x1(t) using an impulse train. Determine minimal sampling angular frequency o that satisfies sampling theorem and the corresponding sampling interval T (3) For the following function x2(t), calculate its Fourier transform X2(jo) x (t)(t)sin (2r) (4) Sketch X2(jo) and determine oM Which is the bandwidth of X2(jo). In other words, for arbitrary o> OM2. X2(jo) 0 (5) For the function x2(t), determine minimal sampling angular frequency o2 that satisfies sampling theorem and the corresponding sampling interval T2
Transcribed Image Text:1. For the following function X1(t), its Fourier transform is X1(jo) sin () (t) 1-1 1 |0; otherwise Tt (1) Determine O which is the bandwidth of X1 (jo). In other words, for arbitrary o> oM, X1(jo)-0 (2) Consider ideal sampling of the function x1(t) using an impulse train. Determine minimal sampling angular frequency o that satisfies sampling theorem and the corresponding sampling interval T (3) For the following function x2(t), calculate its Fourier transform X2(jo) x (t)(t)sin (2r) (4) Sketch X2(jo) and determine oM Which is the bandwidth of X2(jo). In other words, for arbitrary o> OM2. X2(jo) 0 (5) For the function x2(t), determine minimal sampling angular frequency o2 that satisfies sampling theorem and the corresponding sampling interval T2
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