Perform the ideal sampling to the following continuous-time signal x(t): x(t) = 5 cos (2πt) - 3 cos (3πt) + 2 cos (6nt) + cos (8πt) 1) Sketch the frequency spectrum of x(t); 2) The frequency which, under the sampling theorem, must be exceeded by the sampling frequency is called the Nyquist rate. Find the Nyquist rate of x(t) in Hz;

Perform the ideal sampling to the following continuous-time signal x(t): x(t) = 5 cos (2πt) - 3 cos (3πt) + 2 cos (6nt) + cos (8πt) 1) Sketch the frequency spectrum of x(t); 2) The frequency which, under the sampling theorem, must be exceeded by the sampling frequency is called the Nyquist rate. Find the Nyquist rate of x(t) in Hz;

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...

See similar textbooks

Similar questions

11- Consider an analog signal given by s(t) = 2 cos(2л 100t) cos (2π10t) is sampled at the rate of 250 samples per seconds. Determine the maximum frequency component present in the signal, Nyquist rate and cut-off frequency of the ideal reconstruction filer so as to recover the signal from its sampled version. Draw the spectrum of the resultant sampled signal also.
5
A sampling operation will be carried out. We want to sample x(t) = 9, 1e-0,3t cos(273t) continuous signal. Sampling will start at time 0. If the sampling frequency is Fs=15, which one of the following is not one of the sample values? Hint: Find the time interval between two consecutive samples, Tg. Find a(0T), z(1T₂), x(2Ts)... Only your choice here will be taken into account. Do not provide a handwritten solution. O a. -6,93 O b. 8,23 O c. 6,73 O d. -6,40 O e. 2,76 O f. 2,60 O g. -7,07 O h. 2,49
Sample Xa(t) with a sampling frequency Fs=800 Hz and find X(n). Find, if possible, the signal Ya(t) containing the lowest possible frequency components and such that Ya(t) has the same samples X(n)?
Note: Nyquist sampling rate is the minimum sampling frequency according to the sampling theorem In the sampler system shown below, the FT X(@) of the input signal x(t) is as shown below. If this signal is sampled using Nyquist sampling rate, then the spectrum Xs(w) of the sampled signal x-(t) is: X(@) x(t) X(t) Sampler -100 n 100 я A. Xs(@) В. 100 hoo '-100x 100n 400n 4007 800n w С. 4 Xs(@) 4 Xs(@) D. 100 100 -200n 200n 400л -200n 200n 400T А.
please show step by step
Determine the Nyquist rate of sampling required for g(t) = 10 cos 100at cos 200at
Perform the ideal sampling to the following continuous-time signal x(t): x(t) = 5 cos (2nt) - 3 cos (3nt) + 2 cos (6nt) + cos (8nt) 1) Sketch the frequency spectrum of x(t); 2) The frequency which, under the sampling theorem, must be exceeded by the samplin frequency is called the Nyquist rate. Find the Nyquist rate of x(t) in Hz;
The flowing signal x(t) = 10 cos(10t) + 10 cos (15 t), the minimum sampling frequency in rad/sec is Select one: a. 10 O b. 15 C. 20 O d. 30
please show step by step