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2. Consider the ideal sampler below, where an input signal x(t) is multiplied by the delta train p(t) En (tnTs). The figure below also contains a sketch of X(jw), the CTFT of x(t). = Let wM be the bandlimit of r(t) and we = = 2π/T, be the sampling frequency. You are also given that x(t) X x8 (t) = x(t)p(t) =Σs(t-nTs) p(t) = n WM = 3ws 4 -WM Figure 1: Ideal Sampling 1 X(jw) WM (Part a) Sketch Xs(jw), the CTFT of xs(t). (Part b) Design and sketch an anti-aliasing filter that you would use to pre-filter x(t) to avoid aliasing. (Part c) Sketch the new Xs (jw) when the input to the ideal sampler is the signal x(t) after passing through the anti-aliasing filter in Part b.

2. Consider the ideal sampler below, where an input signal x(t) is multiplied by the delta train p(t) En (tnTs). The figure below also contains a sketch of X(jw), the CTFT of x(t). = Let wM be the bandlimit of r(t) and we = = 2π/T, be the sampling frequency. You are also given that x(t) X x8 (t) = x(t)p(t) =Σs(t-nTs) p(t) = n WM = 3ws 4 -WM Figure 1: Ideal Sampling 1 X(jw) WM (Part a) Sketch Xs(jw), the CTFT of xs(t). (Part b) Design and sketch an anti-aliasing filter that you would use to pre-filter x(t) to avoid aliasing. (Part c) Sketch the new Xs (jw) when the input to the ideal sampler is the signal x(t) after passing through the anti-aliasing filter in Part b.

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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2. Consider the ideal sampler below, where an input signal x(t) is multiplied by the delta train p(t) En (t - nTs). The figure below also contains a sketch of X(jw), the CTFT of x(t). = Let WM be the bandlimit of x(t) and ws also given that x(t) X x8 (t) = x(t)p(t) [ nTs) |p(t) = S(t- WM = 2T/T, be the sampling frequency. You are 3ws 4 -WM Figure 1: Ideal Sampling X(jw) WM (Part a) Sketch Xs(jw), the CTFT of xs(t). (Part b) Design and sketch an anti-aliasing filter that you would use to pre-filter x(t) to avoid aliasing. (Part c) Sketch the new Xs(jw) when the input to the ideal sampler is the signal ä(t) after passing through the anti-aliasing filter in Part b.
Transcribed Image Text:2. Consider the ideal sampler below, where an input signal x(t) is multiplied by the delta train p(t) En (t - nTs). The figure below also contains a sketch of X(jw), the CTFT of x(t). = Let WM be the bandlimit of x(t) and ws also given that x(t) X x8 (t) = x(t)p(t) [ nTs) |p(t) = S(t- WM = 2T/T, be the sampling frequency. You are 3ws 4 -WM Figure 1: Ideal Sampling X(jw) WM (Part a) Sketch Xs(jw), the CTFT of xs(t). (Part b) Design and sketch an anti-aliasing filter that you would use to pre-filter x(t) to avoid aliasing. (Part c) Sketch the new Xs(jw) when the input to the ideal sampler is the signal ä(t) after passing through the anti-aliasing filter in Part b.
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